Post #1916344
2026-04-18 20:48 UTC
@henryseg @sabetta
Nice!
I wonder if a continuous transformation is possible for spherical tilings. Maybe something with sliding, extending arcs & cables. Not sure if there's a length-invariant to be found for the cables though.
https://github.com/brainsmoke/geometry/blob/main/spherical/2tri1penta_size_ratio.scad
Replies (1)
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@henryseg@mathstodon.xyz 2026-04-18 21:26
@brainsmoke @sabetta Extending racks can curve along the surface of a sphere, as long as the curvature of the sphere remains the same. So I think a similar design to the one in the video could work, with rotating and extending arc-edges arranged around a core. But it would be an interesting challenge to do it without a central core, via a mechanism that works only on the surface of the sphere. I think this is more what you're suggesting?