Vi Hart, Andrea Hawksley, Henry Segerman and Marc ten Bosch each independently have long track records of doing crazy, innovative stuff with maths. Together, they’ve made Hypernom.
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GIFsmos
Desmos is the web-based interactive geometry program that isn’t GeoGebra. It’s very popular with teachers.
Someone’s made a nifty tool to turn a Desmos construction into an animated gif. It’s called – you guessed it – GIFsmos. They’ve got a blog containing a few nice animations, but it doesn’t seem to have been updated since I discovered it in March. Anyway, the tool still exists, so go and see what you can create!
Three Sticks
The nice chaps at Kitki, an educational board game company based in India, have come up with a cool idea for a mathematical board game. They’re funding it through IndieGoGo (which if you haven’t heard of it is a bit like Kickstarter), and they’re looking for your help.
It’s bunnies all the way down – GeoBunnies reveals geometry’s hidden rabbits
Theorem: You can turn any shape into a rabbit by adding a face, ears and a tail to it.
Proof (by construction): geobunnies.com
This is delightful. There’s a new school of Platonism, one which believes that not only do ideal shapes exist, so do the bunnies inside them.
Joy!
Have fun playing with curvature
Recently Tim Hutton and Adam Goucher have been playing around with hyperbolic tesselations. That has produced a {4,3,5} honeycomb grid for the reaction-diffusion simulator Ready, which Adam talked about on his blog a couple of days ago. Tim has also made a much simpler toy to play with in your browser: a visualisation of mirror tilings (the Wythoff construction) in spaces with different curvatures.
Hyperplay lets you select the kind of regular polygon you want to tile, and then your mouse controls the curvature of the space it sits in. Certain curvatures produce exact tilings of the space – for example, triangles tile a space with zero curvature – and you get projections of polyhedra for certain positive curvatures.
GeoGebra in 3D: ThreeoGebra!
GeoGebra, the Aperiodical’s official Favourite Thing for Messing About With Geometry, has just bumped up to version 5. With that bigger number comes another dimension – GeoGebra now supports three-dimensional geometry!
Euclid’s Kiss: Geometric Sculpture of George Hart
George Hart is putting on a one-man show of his sculptures at Stony Brook University. He’s posted this video of him walking through the exhibition and describing the pieces on display.
[youtube url=https://www.youtube.com/watch?v=DI1612YhMqg]
George also gave a lecture to open the exhibition, which you can watch on the SCGP website.
Euclid’s Kiss: Geometric Sculpture of George Hart is on display at the Simons Center for Geometry and Physics during September and October.
More information: Euclid’s Kiss: Geometric Sculpture of George Hart