The Golden Ratio: The Divine Beauty of Mathematics Hardcover – October 23, 2018

Euclid's Elements Book XIII Proposition 18. In my previous attempts to draw out Euclid’s proposition 18, I had used the two decimal points, √2 and (1+√5 )÷2. After reading through the book "The Golden Ratio: The Divine Beauty of Mathematics" by Gary Meisner, I was able to remove the decimal points from my drawing. Euclid’s geometry for proposition 18 is to square the square to locate the side lengths of the Platonic Solids. However, my current drawing of proposition 18 shows, how you can develop the extreme and mean ratio (Golden Ratio) in the drawing without developing the extreme and mean ratio in an external drawing doubling the square, as Euclid did in proposition 17. As, well as developing the √2 line without using decimal points.I recommend the book The Divine Beauty of Mathematics by Gary Meisner to everyone. Even if it just ends up being a coffee table book. Excellent quality graphics and over 200 high-quality pictures. Everything from the Great Pyramids, Fibonacci logarithmic spiral, Leonardo da Vinci's Mona Lisa and John the Baptist. And at $17, in a 9x11 hardcover format, it’s one book you won't regret buying. It belongs in the Great Book program for developing critical thinking.

Ordered this as a gift for my boyfriend’s 18 year old son’s birthday who is going off to engineering school. He’s fascinated with nature and design and I know he’ll love this. I spent a little time with this, but not enough. As a graphic designer with a scientific mind and a spiritual soul, I’m thinking of ordering a copy for myself.

It's perfect, the quotes, the images, the descriptions (in depth). Absolutely wonderful. Fascinating topic!

This is a lovely book which explains and examines the Golden Ratio/Divine Proportion using clear and engaging text accompanied by a kaleidoscopic array of beautiful imagery from the worlds of art, architecture, and nature. This book is sure to be appreciated by anyone who loves math, design, or classical art, as well as by those who are merely curious about the title topic.I am one who was merely curious. I haven't studied any math since high school (eons past), but I was able to grasp (with a bit of concentration) the very basic of the mathematical concepts presented in this book. I was actually quite pleased with myself when I encountered and even remembered the Pythagorean Theorem on page 27! While most of the mathematics in the book was over my head, I nevertheless found much to like in its pages.For example, nearly 100 pages are devoted to a presentation of the appearance of the Divine Proportion in art and architecture. I thoroughly enjoyed looking at the masterworks of DaVinci, Michelango, Botticelli, and more, and seeing evidence of the Golden Ratio in these famous art pieces. I was especially drawn to a section of the book which focuses on the design and construction of the great cathedrals of Europe. Photographs (with PhiMatrix overlays) of the rose windows at Notre Dame and Chartes are impressive and, of course, very beautiful.The last part of the book takes a look at the appearance of the Divine Proportion in the natural world. Again, I am not a mathematician, but I had fun counting the plant spirals on photographs of pine cone bases, and looking for the "beauty of fives" in pictures of flowers and fruits.Overall, I enjoyed spending time in the pages of this book. It has something for everyone. And, it looks pretty impressive on my coffee table; if I were hunting a mate, I might impress a super successful STEM dude—or perhaps an artsy guy--with this book!

Not new. But now on number of sights here. Activity feeders help readings, or elect uppers specifically way. Thousand years ago today. AKA mad scientists an other fields.

In a sentence: "a straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less"Who should read it: Anyone who makes art and enjoyed geometry class.It's a well made and beautiful book. Prints and diagrams are lovely to look through and the history of this great ratio are intriguing. As someone who has never discovered anything in math I love that for thousands of years great minds were sitting around, probably drunk on wine and cheese, just bisecting triangles in their heads to see what would happen and they kept reusing the same ones. This book should help you tie nature, science and spirit together some if you let it.

While to the casual eye much of what we see around us appears to be chaotic or random, but when we probe deeper we find mysterious, underlying patterns. Possibly the most mysterious of those is the golden ratio, found redundantly in nature. The Golden rectangle is known as one of the most visually satisfying of all geometric forms – hence, its frequent use in art. It is also related to the Golden spiral, found throughout nature in things like snail sheets and flowers, which is created by making adjacent squares of Fibonacci dimensions.Many of the world's most famous mathematical geniuses, astronomers and artists have used the Golden ratio to reveal mysterious but redundant patterns and some of the world's most famous art employs it.The author has clearly spent a lifetime fascinated by the golden ratio and has clearly spent years collecting the information in this text, presented in a way the layman can understand, although he must pay attention. It is not casual reading but is made more interesting with lavish illustrations, clearly the result of decades of research.You don't have to read every word in this book to get the drift and you come away feeling your time has been well-spent.