Mathematicians discover previously-unknown tiling pentagon

[Recursion]

http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/aug/10/attack-on-the-pentagon-results-in-discovery-of-new-mathematical-tile

In the world of mathematical tiling, news doesn’t come bigger than this.

...

Every triangle can tile the plane. Every four-sided shape can also tile the plane.

Things get interesting with pentagons. The regular pentagon cannot tile the plane. (A regular pentagon has equal side lengths and equal angles between sides, like, say, a cross section of okra, or, erm, the Pentagon). But some non-regular pentagons can.

The hunt to find and classify the pentagons that can tile the plane has been a century-long mathematical quest, begun by the German mathematician Karl Reinhardt, who in 1918 discovered five types of pentagon that do tile the plane.

Cool

[Juicy_Bellows]

1. Christian Slater was the first to Gleam the Cube.

Cheers!

Seriously, this is cool, just thought I'd make a dumb joke.

[Orrex]

2. Why don't we see any plane wreckage in the photographs?

"Tilting pentagon" indeed!


k/r

[Sunlei]

3. I would call it the flamingo head phenomenon

!xlMedium.jpg

[Baclava]

4. These new age AD millennials are still catching up to the Greeks from 2000+ years ago

Thales, Euclid, Pythagoras, Archimedes, Apollonius - now those were some mathematicians