# You're reading: Posts Tagged: Geometry

### APPROXYMOTION by Peter A Vikar

Peter’s site is full of beautifully stark geometric/topological art

### Klein: outside the bottle

If you’ve heard of Felix Klein, it’s probably due to the Klein bottle, that strange four-dimensional object that is the subject of a new video here on The Aperiodical starring Katie Steckles and Matt Parker. Who is Klein and, apart from the bottle, what did he do?

Klein’s Times obituary records that he would point out “with a smile” that his date of birth comprised three squares of primes. So then, I will refer to his birth as taking place on the $( 5^2 )^{\textrm{th}}$ day of the $(2^2 )^{\textrm{th}}$ month in the year $43^2$ in Prussia. You might like to notice that today is the $( 5^2)^{\textrm{th}}$ day of the $( 2^2 )^{\textrm{th}}$ month as well, so it is the 163rd anniversary of Klein’s birth.

### Advance in snowflake growth simulation

Scientific American are reporting that “a team of mathematicians has for the first time succeeded in simulating a panoply of snowflake shapes using basic conservation laws, such as preserving the number of water molecules in the air”.

This explains that previous simulations often simulate the crystal surface using interlocking triangles, but that:

the triangles often deform and collapse in simulations, leading to singularities that bring the simulation to an abrupt halt… Garcke’s team got around this difficulty by devising a method to describe the curvature and other geometric information about the snowflake surface so that it could be appropriately encoded into a computer.

### Perspectives of the regular solid

BibliOdyssey has posted some very old perspective drawings of polyhedra and other geometric shapes.

### Geometric snow art

A man called Simon Beck has more than his fair share of free time and good ideas. He spends his days walking about in the snow at a French ski resort to create geometric patterns like the Sierpinski triangle, tilings of the plane and optical illusions. He posts photos of his works on his facebook page.