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This book is intended as research. It has been written so the average reader will be able to see the fascinating patterns of symbolic mathematics and geometry hidden in the design of the dollar bill. Much of its esoteric symbolism will be shown and analyzed from history of the long train of tradition that led up to the dollars present design. Although some of these ideas easily lead to wide ranging philosophical speculation, (and I reserve the right to drag out the soapbox occasionally). I will, none the less, try to maintain a neutral or scientific approach to these topics. Most of this story has been written in the first-person, like a letter to the reader--like a notebook. In order that the reasoning that led me to these discoveries might be more easily understood, I have tried to show my slow progress and mistakes more or less as they happened, and the gradual development of my thinking as I went along. But to all of this I will add some hindsight, and a certain amount of convenient arrangement of the order of some of the discoveries for clarity. Without this, most of my starting points of investigation and conclusions will not be understandable, and many of my earlier dubious paths can be left unsaid. Since this curious and strange design is not yet completely known or fully analyzed, this investigation is by no means finished and should be an invitation for more adventurous readers to make their own discoveries. This study is a much larger task than it would appear at first glance. This writing will provide many of the mathematical keys and clues to enable readers to start to investigate on their own, or to demonstrate to themselves the validity of those things shown here. But these are hidden symbols--both philosophical and mathematical--and as such, need to be puzzled out.
An exploration of the influence of secret societies on the formative documents and symbols of the United States • Reveals the Founding Fathers’ spiritual vision for America as encoded in the Great Seal • Traces the influence of the Iroquois League of Nations upon the Constitution • Exposes the deep connections the Founding Fathers had with the Freemasons and other secret societies All children growing up in America learn who the Founding Fathers were. Most, however, never learn of the founders’ connections to the Freemasons, the Rosicrucians, and other esoteric orders. In Founding Fathers, Secret Societies Robert Hieronimus investigates these important connections and how their influence can be traced throughout our most significant national documents and symbols, especially the Great Seal. He reveals in detail how the reverse of the Great Seal--which appears on the back of the one-dollar bill--is a blueprint that conveys the secret destiny of America. By understanding the kabbalistic meaning of the Great Seal’s reverse, he shows how our current era presents unique opportunities for the fulfillment of our Founding Fathers’ spiritual vision.
Describes how symbols in American art, architecture, and popular culture include hidden meanings to provoke particular emotions and associations from their viewers.
Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
Somebody has stolen money from the soccer team. Everyone thinks Tom, the team's big bully, did it, but he says it wasn't him. Should Adam, Amy, Joy, and Sam believe him and help? They will have to figure out how much money was stolen—and also why! The kids work with dollars and cents to find . . . The Hundred-Dollar Robber.
HOW DOES MONEY HELP IN CREATING A HAPPY LIFE? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer based on the idea that wealth, truly defined, is funded contentment. It is the ability to underwrite a meaningful life. This stands in stark contrast to angling to become rich, which is usually an unsatisfying treadmill. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • Why is being market savvy among the least important aspects of creating wealth but self-awareness among the most? • Can we strike a balance between pushing for more and being content with enough? This journey memorably contours along three basic shapes: A circle, triangle, and square help us visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many—including those who despair it is out of reach—but only in the context of a life in which purpose and practice are thoughtfully calibrated.
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist
Million Dollar Maths is an invaluable guide to the straightforward and outlandish mathematical strategies that can make you rich. ____________ How can you turn $1000 into $1 million? What is the best way to beat the lottery odds? When is the best time to take out a loan? How did one group of gamblers bet on hole-in-ones to win £500,000? How can maths help you set up a successful tech start-up? What about proving the Goldbach Conjecture for $1 million? Learn the techniques for growing your everyday finances, as well as the common mistakes to avoid. Discover the skills, both fair and foul, that offer an additional edge when investing and gambling. And discover why we often misunderstand probability and statistics - with troubling financial costs. From making the most of special offers to utilising the power of exponential growth in your investments; from the art of card counting, to inventing the next Google, Million Dollar Maths is the quintessential primer to the myriad ways maths and finance intersect.