mindfuckmath:

A Different Pi for Pi Day

Great article by Evelyn Lamb on one of the other uses of pi: as the prime counting function.

spring-of-mathematics:

Pretzel puzzle
How the linked rings in the first figure can be unlinked to form the second, without cutting or tearing the material.  Can you figure out how to do it?  You are allowed to stretch, shrink, twist, and deform the material in any manner, as if it were infinitely flexible rubber or play dough. Once again, here is another surprising result from topology:

The Figure 2 shows how the linked rings can be unlinked.

See more: [http://mathworld.wolfram.com/PretzelTransformation.html]

hyrodium:

I made gif animations of Sum of Square Numbers.

This explanation is by Takemasa Ooya.

http://www.h6.dion.ne.jp/~ooya/Suugaku/index.html
http://www.h6.dion.ne.jp/~ooya/Suugaku/SigmaK2.pdf

See also:
http://hyrodium.tumblr.com/post/77595658481/the-proof-of-sum-of-square-numbers

rhamphotheca:

Mathematicians have solved the century-old triangulation conjecture.

… a major problem in topology that asks whether all spaces can be subdivided into smaller units. This graphic, showing the Euler characteristic for a 2-D manifold such as a sphere, was created by Olena Shmahalo of Quanta Magazine.

Here’s the article by new contributor Kevin Hartnett:

Quanta Magazine

sporaqic:

Cardioidal variations by fdecomite

geometrymatters:

‘Tis the season to be geometric.

This project isn’t about raising a fixed sum of money, rather, to spread science and wonder! A paperwork zine that explaines snowflake growth in the context of paper snowflakes.

https://www.kickstarter.com/projects/800815304/scientifically-accurate-snowflakes/description

© Robby Kraft, 2014

mandaladana:

Snowflakes through scanning electron microscope.