Post #3078235

2025-05-22 05:14 UTC

@nanma80@mathstodon.xyz that does of course not make it less cool, but naively I had hoped for more of a point and click scenario. :)

Replies (2)

@nanma80@mathstodon.xyz 2025-05-22 05:28

@rasjor@mathstodon.xyz thanks again. The rendering part is relatively straightforward. If you want to hear about the extra algorithm, I enumerated all the nets of the dodecahedron, and programmatically checked which nets will cover all the faces of the great dodecahedron by “overfolding”. Only about 0.1% of the dodecahedron nets cover all faces of the great dodecahedron. Those are rare cases, and the common nets won’t work. Interestingly, 100% of the icosahedral nets can overfold into the great icosahedron covering all the faces.

Open ##3078236
@foldworks@mathstodon.xyz 2025-05-22 10:59

@rasjor@mathstodon.xyz @nanma80@mathstodon.xyz Geogebra has a Net tool/command, but it lacks flexibility -- I guess the dedicated could edit the source code https://geogebra.github.io/docs/manual/en/tools/Net/ #geogebra #geometry #dodecahedron #animation #loop #polyhedron

Open ##3078238