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.
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.
Hm 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
TIL 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/T100-S120.pdf
http://www.gavin-theobald.uk/HTML/Spherical/T120-S135.pdf
http://www.gavin-theobald.uk/HTML/Spherical.html