2026-04-02T05:14:34Z https://yabu.me Joseph O'Rourke https://yabu.me/npub1nrjhl3sytrl2qfk3a0dhxyqvztwd2lqhg87d3lprpmc4qusuyszqurkuk3 https://media.mathstodon.xyz/accounts/avatars/000/075/829/original/fdc8a4fda1302abf.jpg https://media.mathstodon.xyz/accounts/avatars/000/075/829/original/fdc8a4fda1302abf.jpg https://yabu.me/nevent1qqsxuefp3a4g0yv742mtpwku3wu6ftcl9mhrmcmns29mqtqpp2kew5szyzvw2l7xq3v0agpx684akucspsfde4tuzaqlek8uyv80z5rjrsjqgytfuct In reply to <a href='/nevent1qqsvp5vk9fug6n3pxty2ew0cttnc53n07qc9npapvgvl65l522zatug540qmd'>nevent1q…0qmd</a><br/>_________________________<br/><br/>Just: convex faces, no &#34;partially-flat&#34; vertices, no three collinear vertices. 2025-09-26T18:22:12Z https://yabu.me/nevent1qqspnz68g5z40mws2r7w4q7h8x395h66r9p3xx6j8ppezmar79mxaeqzyzvw2l7xq3v0agpx684akucspsfde4tuzaqlek8uyv80z5rjrsjqgvux4nz Stoker&#39;s Conjecture settled by Cho &amp; Kim positively: &#34;Every 3D polyhedron is uniquely determined by its dihedral angles and edge lengths, even if nonconvex or self-intersecting&#34; (subject to technical restrictions).<br/><a href="https://doi.org/10.1007/s00454-024-00670-w">https://doi.org/10.1007/s00454-024-00670-w</a> 2025-09-26T16:49:25Z https://yabu.me/nevent1qqsvhhehgagfjygq4nz675mn49kpysvk5ftdyall893c8ua9jfreksgzyzvw2l7xq3v0agpx684akucspsfde4tuzaqlek8uyv80z5rjrsjqgkqa9p3 In reply to <a href='/nevent1qqswqa7kphnnfetyz5g84ay98r0803zaym69d7gnt8h44u7qrcttphgzh8gaf'>nevent1q…8gaf</a><br/>_________________________<br/><br/>Beautiful software! Incidentally, those star-shaped polygons are known as the star unfoldings of the polyhedra. From a point x on the surface, cut all shortest paths from x to each vertex. 2024-12-19T19:31:56Z