Stereographic projection of putatively optimal packing of 124 points on the unit sphere.
Source code and explanation: https://community.wolfram.com/groups/-/m/t/1579272
Chladni figures for linear combinations of the (20,21) and (21,20) vibration modes of the square.
Source code and explanation: https://community.wolfram.com/groups/-/m/t/1574402
Combination of the (1,3) and (3,1) vibration modes of a square membrane.
Source code and explanation: https://community.wolfram.com/groups/-/m/t/1567736
Two circles rolling inside a circle.
Source code: https://community.wolfram.com/groups/-/m/t/1559034
Vertices of a rotating 16-cell, projected the 2-sphere by the Hopf map, then stereographically projected to the plane. Also, a still image with frames composited together.
Source code and explanation: http://community.wolfram.com/groups/-/m/t/1525648
Hopf map image of a rotating 600-cell.
Source code and explanation: http://community.wolfram.com/groups/-/m/t/1521244
This is Only a Test
Decagons formed from stereographic projection of points on concentric spherical circles.
Source code: http://community.wolfram.com/groups/-/m/t/1380624
Open and closed random walks with fixed edgelengths
by Jason Cantarella, Kyle Chapman, Philipp Reiter, and Clayton Shonkwiler
In this paper, we show that a random walk is (with overwhelming probability) surprisingly close to a closed loop with the same step sizes, and that closing up has very little impact on local features.
In particular, this suggests that local knots should occur at essentially the same rate in loops as in open chains.
More Mercator projections of level sets of sums of dot products, this time with the vertices of a regular tetrahedron.
Source code and explanation: http://community.wolfram.com/groups/-/m/t/1338150
Mercator projection of the contour plot of the sum of the absolute values of the dot products of a point on the sphere with the vertices of a rotating octahedron.
Source code and explanation: http://community.wolfram.com/groups/-/m/t/1335544
Mercator projection of concentric circles on a rotating sphere.
Source code and explanation: http://community.wolfram.com/groups/-/m/t/1333964
Linearly interpolating (in space, though not in time) between a double-covered octagon and a regular 16-gon
Source code: http://community.wolfram.com/groups/-/m/t/1328434
A morphing 11-pointed star.
Source code: http://community.wolfram.com/groups/-/m/t/1320708
Start with a bunch of points on loxodromes. Now rotate in space, then stereographically project to the plane. Finally, form the Voronoi cells of the resulting point set.
The aggressive video compression does this one no favors; see a better version along with source code at http://community.wolfram.com/groups/-/m/t/1291902 https://mathstodon.xyz/media/OsWh_UoCkHrl6fm7nkg
Oof. Another one destroyed by over-aggressive video compression. See the source code link for a better version: http://community.wolfram.com/groups/-/m/t/1286395
Math and art
A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.
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