Roelof's posts

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Na Kleine Beer - Grote Beer en Geluksvogels nu ook Crag (Yahtzee variant) gepdate. Responsive. Highscores. Graphic design. Taalinstelling Fries is komen te vervallen, sorry.

http://www.potatodie.nl/games/crag/

http://www.potatodie.nl/games/crag/

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Roll the dice!

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Spirograph! Animation! Full-screen ready! http://www.potatodie.nl/lab/spirograph/

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Wheelbarrow Man, a tiny animation project for fun. https://youtu.be/iSvoCmbza3o

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+Vladimir Bulatov does it again! At each moment, this movie shows you a tiling of the hyperbolic plane by pentagons, four meeting at each corner, mapped onto a disc with four slits cut out. This mapping is

For a more detailed explanation, with tons of great pictures, go here: http://bulatov.org/math/1001/

Here's the short version: there's a way to measure distances on a disk that makes it into a model of the hyperbolic plane. There are actually a number of ways, but Bulatov - and Escher - use the

For more details, try these picture-packed pages:

http://en.wikipedia.org/wiki/Conformal_map

http://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model

and this more advanced one:

http://en.wikipedia.org/wiki/Riemann_mapping_theorem

#sciencesunday

**conformal**, meaning that it preserves angles. As time passes, the hyperbolic plane rotates and we see this crazy movie.For a more detailed explanation, with tons of great pictures, go here: http://bulatov.org/math/1001/

Here's the short version: there's a way to measure distances on a disk that makes it into a model of the hyperbolic plane. There are actually a number of ways, but Bulatov - and Escher - use the

**Poincare disk model**, because in this model straight lines look like portions of circles: very pretty. Then, according to the**Riemann mapping theorem**you can map this disk in a conformal way onto a disk with 4 slits cut out. The hard part is finding a formula for how to do it, and then implementing it on a computer.For more details, try these picture-packed pages:

http://en.wikipedia.org/wiki/Conformal_map

http://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model

and this more advanced one:

http://en.wikipedia.org/wiki/Riemann_mapping_theorem

#sciencesunday

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Bij wet verplichten is wel overdreven. Misschien moet je gewoon opstappen als je geen kraanwater krijgt.

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