It may look like we are descending to land on an alien planet, but this is actually the new "hyperideal" view in our cohomology fractals web app. With Saul Schleimer, David Bachman, and Matthias Goerner. https://henryseg.github.io/cohomology_fractals
Experiments on reverse perspective: http://paulbourke.net/miscellaneous/reverseperspective/
Recent post by Paul Bourke with a link to a recent video, https://www.youtube.com/watch?v=iJ4yL6kaV1A, "Hypercentric optics" by Ben Krasnow, showing how to achieve reverse perspective physically using a giant Fresnel lens
More messing around in #MarioMaker2, this time a contraption that counts to 64 in binary. Course ID: 46R-9KM-VPG
The new version of the three-manifold software SnapPy is out now at https://snappy.computop.org. It includes the ability to fly around inside hyperbolic manifolds! Pictures at https://im.icerm.brown.edu/portfolio/snappy-views/
Diana Davis’s Beautiful Pentagons: https://blogs.scientificamerican.com/roots-of-unity/diana-davis-beautiful-pentagons/
I briefly mentioned her regular-pentagon billiards-trajectory art in https://mathstodon.xyz/@11011110/101530712079779913 but now Evelyn Lamb has a much more detailed column on her and her work.
Amazing video: how to cheat at a Battleships-like game in Zelda Wind Waker. Featuring a tool developed by speed runners that uses knowledge of the pseudo-random number generator in the game, probability distributions, and deliberately losing the first game. https://youtu.be/1hs451PfFzQ
A not-entirely-successful prototype of a 3D sliding block puzzle system - Rook cubes: https://youtu.be/ln_AQkjjYDc
What happens when half a cellular automaton runs Conway's Game of Life and the other half runs a rolling version of Rule 30 pushing chaos across the border? https://www.youtube.com/watch?v=IK7nBOLYzdE, via https://news.ycombinator.com/item?id=22723884
I wish I could see a larger scale of time and space to get an idea of how far the effects penetrate. If the boundary emitted gliders at a constant rate they'd collide far away in a form of ballistic annihilation but the boundary junk and glider-collision junk makes it more complicated.
A variant of the classic 15-puzzle, where the puzzle is coiled around a cylinder. Unlike the original, this version is solvable because of the extra connection between the first and sixteenth squares of the frame. YouTube: https://youtu.be/rfAEgxNEOrQ
Oskar van Deventer is an amazingly prolific puzzle designer - he designed this sliding puzzle based on a strategy I suggested: How can four squares slide all around each other without coming apart? https://www.youtube.com/watch?v=G_RlsIe3-qk
The new 14-sided dice from the Dice Lab also works pretty well as a spinning top! Full video: https://youtu.be/0KnRtZgvKIw
The video wherein David Bachman, Saul Schleimer and I finally explain what these cohomology fractals are: https://youtu.be/fhBPhie1Tm0
A zoom through a selection of cohomology fractals. With David Bachman and Saul Schleimer, music by Vi Hart. https://youtu.be/-g1wNbC9AxI
Mathematician working mostly in three-dimensional geometry and topology, and mathematical artist working mostly in 3D printing and virtual reality.
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