# eipiphiny Symbols

## What is the purpose of the eipiphiny logo?

The eipiphiny logo has been designed to artistically capture the emotional spirit of the MEHME underlying Euler’s famous equation/relationship, as expressed by Professor Casti, and much more. In many ways it is an exceptional good luck charm made up of outstanding very lucky numbers. Mankind has been extremely fortunate to have discovered the very lucky numbers, pi (3.14159...), e (2.71828…), phi (1.618033…), 1, 0, and i (the square root of -1). Further it is amazing that mankind discovered that these numbers, that are so important to our existence and progress, are all related. At some time in history the above lucky numbers elicited MEHMEs and eipiphinies in those playing the game of science, as any study of their history reveals. Unfortunately for many today they are taken for granted and the MEHMEs and eipiphinies are lost. Our educational system does not leave room for introducing the discovery of these numbers historically, so today’s students could at least vicariously experience that which the discoverers experienced as a foundation to enjoying the joy of mathematics and stochastics. We hope to rectify this unfortunate educational deficiency that cripples far too many students today.

Luck played a further role in the design of the eipiphiny logo. By consensus over the centuries it was agreed that certain letters would represent these numbers, otherwise it would be very difficult and very inconvenient to discuss and use these numbers. Luckily the letters chosen lend themselves to being combined in one design. With artistic license the eipiphiny logo contains e, i, Π, Φ, 0, 1 as well as the circle that has played an equally cogent role in our history. The letters “e” and “i” can stand for emotional intelligence, which is central to what we want to encourage. Further “i” and “e” can relate to other words that are so important in learning this subject matter. Some examples are, intuition, involvement, ingenuity, enthusiasm, euphoria, eureka, esthetic, and so on. The eipiphiny logo inverted is also a G enclosing an exclamation mark therein. The exclamation mark is an efficient and appropriate symbol to represent the eureka and ah hah experience involved in MEHMEs and eipiphinies. G can represent the first initial of many who in history have experienced MEHMEs and eipiphinies and have contributed so much to others experiencing them, for example Gauss, Gödel, Galton, and Galileo etc. For those so inclined G can represent God. Throughout history one will find constant reference to the question, “Is God a Mathematician?” It is perhaps easy to understand that the amazing and unbelievable effectiveness of these numbers in our lives can elicit such a question.

The members of the eipiphiny Society proudly wear the eipiphiny logo as a demonstration of their dedication and allegiance to the goals and purpose of our society. Whenever asked the significance of the insignia members will put forth best effort to find ways to share and explain. By so doing new ways will be discovered to help future generations to experience eipiphinies and MEHMEs.

For those of us who have benefited and been fortunate enough to have experienced MEHMEs and eipiphinies the eipiphiny pin serves as our personal good luck charm and a constant reminder of our good fortune and our desire to bestow this luck on as many future generations as possible.

**e, i, pi, phi, zero and one are miracles. Where would we be today without them?**Burke Brown explains the multiple meanings of eipiphiny.**Beauty**"Mathematics, rightly viewed, possesses not only truth, but supreme beauty."**If you could teach the world only one thing...**The most beautiful result in the history of mathematics.**Euler's identity**Euler's identity is remarkable for its mathematical beauty, linking five fundamental mathematical constants.**Euler and his beautiful extraordinary formula**It is absolutely paradoxical; we cannot understand it, and we don't know what it means. But we have proved it, and therefore we know it must be the truth.

**Euler's Relation**The mathematical photography of Justin Mullins.

**Mathematician's Dice**Dice displaying the six most important numbers in mathematics. Designed by**Matt Chisholm**.

## Eipiphiny Screensaver/Good Luck Charm

An animated screen saver/good luck charm based on the eipiphiny symbol and a spiral graphic by Brave Form Graphic Design is available on sacred-geometry.com. Click here for more information and to download.

Thanks to Mika Feinberg for creating the eipiphiny screensaver.

## Constituent symbols

Φ **Phi**

Phi (1.618 03 ...) is the basis for the Golden Section, Ratio or Mean. To
learn more, visit goldennumber.net.

**Fibonacci Numbers and the Golden Section**Dr Ron Knott's multimedia web site on the Fibonacci numbers, the Golden section and the Golden string.**The Golden Ratio**The golden ratio has been famed throughout history for its aesthetic properties.**Fibonacci Numbers in Nature**The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple.**The Golden Ratio...**A bibliography on the Golden Ratio.**The life and numbers of Fibonacci**by R.Knott, D.A.Quinney and PASS Maths**PhiMatrix**Phi-based proportions provide an inherent natural sense of beauty, balance and harmony because these proportions appear so pervasively in nature.**Golden Ratio**Calculation, history, applications and observations.

*e*

*e* ( 2.71828...), the base of natural logarithms, is an important
constant in problems involving growth or decay (including compound interest),
the statistical "bell
curve," the
shape of a hanging cable, and more. To learn more, click here.

*The Geometry of the Epeira's Web*, by Jean-Henri Fabre

This universal geometry tells us of an Universal Geometrician, whose divine compass has measured all things. (link)**e Home Page**

Fun facts and intersting things about e. (link)*The Enigmatic Number e: A History in Verse and Its Uses in the Mathematics Classroom,*by Sarah Glaz

An annotated poem: "The Enigmatic Number e." The annotation consists of hyperlinks leading to biographies of the mathematicians appearing in the poem, and to explanations of the mathematical notions and ideas presented in the poem.

*i*

*i* is the "imaginary number" whose square = -1. To learn
more, click here.

**Do "Imaginary Numbers" Really Exist?**Despite their name, imaginary numbers are not really imaginary at all.

π **Pi **

Pi (3.14159...) is an irrational real number, the ratio of a circle's circumference
to its diameter. To learn more, click here.

**A chronology of Pi**The fact that the ratio of the circumference to the diameter of a circle is constant has been known for so long that it is quite untraceable.**Pi music****Sayings and Wisdom of The Giant Pi**

0 **Zero**

Zero (0) is an integer which quantifies a count or an amount of null size.
To learn more, click here.

*A History of Zero*, by J.J. O'Connor and E.F. Robertson

Zero makes shadowy appearances only to vanish again almost as if mathematicians were searching for it yet did not recognise its fundamental significance even when they saw it.*The Nothing that Is: A Natural History of Zero,*by Robert Kaplan

If you look at zero you see nothing; but look through it and you will see the world.*Zero: The Biography of a Dangerous Idea,*by Charles Seife

Cultures girded themselves against zero, and philosophies crumbled under its influence, for zero is different from the other numbers. It provides a glimpse of the ineffable and the infinite. This is why it has been feared and hated – and outlawed.**A Countdown to Zero, BBC Radio 4 website**

Strange as it sounds, “nothing” had to be invented, and then it took thousands of years to catch on.