The beginner's guide to constructing the universe: the mathematical archetypes of nature, art, and science - Michael S. Schneider

An imaginative tour of the numbers one through ten that illustrates how they consistently recur in everything from nature, technology, art, and science to mythology and the unconscious in archetypal patterns and principles.

Richly illustrated with computer graphics and classical art.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Why are cans, pizzas, and manhole covers round? Why does the spiral pattern appear in galaxies, hurricanes, and haircuts? In this engaging exploration of the ways mathematical principles have shaped the world around us, Michael Schneider demonstrates how cathedrals, cucumbers, beehives, and the human body arise from the numbers 1 through 10.

From the structure of molecules to the structure of board games, Schneider reveals that the language of geometry informs every level of the universe we inhabit, including the universe of our minds.

Why is the number 7 lucky? Why is 6 our standard reference for measuring time? A richly illustrated journey of science and philosophy, A Beginner's Guide to Constructing the Universe provides readers with a new and utterly compelling view of the world.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance.

This book is an education in the world and everything we can't see within it.

Contains numerous b&w photos and illustrations.

Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us.

But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe , Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals.

Schneider also discusses numerical and geometric symbolism through.