3 ms·
The dissection of a square into an equilateral triangle (or vice versa) is sometimes known as the haberdasher's problem, and can be done in three straight-line
by quuxplusone 2y ago
The dissection of a square into an equilateral triangle (or vice versa) is sometimes known as the haberdasher's problem, and can be done in three straight-line cuts.
https://mathworld.wolfram.com/HaberdashersProblem.html https://mathworld.wolfram.com/HaberdashersProblem.html
- chubot 2y agoHm interesting, I thought it was 11 pieces, not 11 cuts, but that one looks like 4 pieces, which is surprising Now I am more curious to find this program Either I didn't do it optimally, or there is some variation like a triangle/rectangle/square I think there are some problems that have 3 shapes, or it could be triangle/pentagon or something
- quuxplusone 2y agoTIL that Gavin Theobald has produced several dissections from a triangle to a square on the surface of a sphere. Which would make pretty cool 3D-printed desk gizmos: make a ball with a triangular sector removed from one pole, a square sector removed from the other pole, and a set of wedge-shaped pieces that can be used to fill up either hole. http://www.gavin-theobald.uk/HTML/Spherical/T90-S112.5.pdf http://www.gavin-theobald.uk/HTML/Spherical/T90-S112.5.pdf http://www.gavin-theobald.uk/HTML/Spherical/T100-S120.pdf http://www.gavin-theobald.uk/HTML/Spherical/T100-S120.pdf http://www.gavin-theobald.uk/HTML/Spherical/T120-S135.pdf http://www.gavin-theobald.uk/HTML/Spherical/T120-S135.pdf http://www.gavin-theobald.uk/HTML/Spherical.html http://www.gavin-theobald.uk/HTML/Spherical.html