In mathematics, physics, and art, Moiré patterns are geometrical designs that results when a set of straight or curved lines is superposed onto another set.

(Source: trigonometry-is-my-bitch, via trigonometry-is-my-bitch)

In mathematics, physics, and art, Moiré patterns are geometrical designs that results when a set of straight or curved lines is superposed onto another set.

(Source: trigonometry-is-my-bitch, via trigonometry-is-my-bitch)

Some people argue that the golden ratio is a divine number. It appears to pop up everywhere in nature, so it must be God’s architectural fingerprint, right? I’m curious what these people would say about the following equation, relating the golden ratio to the number of the Beast:

\[\sin(666^\circ)=-\dfrac{\phi}{2}\]

*Forgot Algebra*, XKCD.

(via ryanandmath)

*Finite Simple Group (of Order Two)*, by the Klein Four.

The path of love is never smooth

But mine’s continuous for you

You’re the upper bound in the chains of my heart

You’re my Axiom of Choice, you know it’s true

But lately our relation’s not so well-defined

And I just can’t function without you

I’ll prove my proposition and I’m sure you’ll find

We’re a finite simple group of order two

I’m losing my identity

I’m getting tensor every day

And without loss of generality

I will assume that you feel the same way

Since every time I see you, you just quotient out

The faithful image that I map into

But when we’re one-to-one you’ll see what I’m about

'Cause we're a finite simple group of order two

Our equivalence was stable

A principal love bundle sitting deep inside

But then you drove a wedge between our two-forms

Now everything is so complexified

When we first met, we simply connected

My heart was open but too dense

Our system was already directed

To have a finite limit, in some sense

I’m living in the kernel of a rank-one map

From my domain, its image looks so blue

'Cause all I see are zeroes, it's a cruel trap

But we’re a finite simple group of order two

I’m not the smoothest operator in my class

But we’re a mirror pair, me and you

So let’s apply forgetful functors to the past

And be a finite simple group, a finite simple group,

Let’s be a finite simple group of order two

I’ve proved my proposition now, as you can see

So let’s both be associative and free

And by corollary, this shows you and I to be

Purely inseparable. Q.E.D.

Exactly 20 years ago, Andrew Wiles had the final insight to solve the enigma that had been Fermat’s Last Theorem. He presented his first attempt in 1993 after seven years of secret work, but an error was found. One year later, on September 19, 1994, in what he would call “the most important moment of his working life,” Wiles stumbled upon a revelation, “so indescribably beautiful… so simple and so elegant,” that allowed him to correct his proof and ultimately break the back of Fermat’s conundrum.

Exactly the same day is my birthday! 😃

A graph representation of the Erdös number network.

*ruled surface*. You can make a beautiful real-life model by connecting two circles with some elastic strings, and rotating one of the circles; here’s a virtual Wolfram Demonstration.

Using Mathematica always involved installing software. For Mathematica Online, just use a web browser—zero configuration, instant collaboration.

The Book Bucket Challenge is about listing ten books that inspired or influenced your life. I’ve been nominated by ioanaiuliana21, so here is my mathematical top 10 list:

*Gödel, Escher, Bach*, by Douglas Hofstadter.*Apology of a Mathematician*, by Godfrey Hardy.*The Colossal Book of Mathematics*, by Martin Gardner.*A New Kind of Science*, by Stephen Wolfram.*On Numbers and Games*, by John Conway.*Mathematics of Life*, by Ian Stewart.*Elements*, by Euclides.*Origami Design Secrets*, by Robert Lang.*The Math Book*, by Clifford Pickover.*Principia Mathematica*, by Alfred Whitehead & Bertrand Russell.

Perhaps including *Elements* and *Principia Mathematica* accounts as “cheating” since I never actually read them. But they influenced mathematical thinking, and therefore my life as well, for sure!

Since I have no particular challenge preference, feel free to reblog this with your favorite (mathematical) books :)

(Source: mathani)

A fully operational Turing machine built in LEGO Mindstorms, by Jeroen van den Bos and Davy Landman at Centrum Wiskunde & Informatica (Centrum Mathematics & Computer Science, CWI) in Amsterdam. They built it for an exposition “Turing’s Legacy” in honor of Alan Turing’s 100th birthday.

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