14 Apr
2016
14 Apr
'16
1:35 p.m.
I've looked at 45-45-90 isosceles right triangle packing lately. The sequential square packing sequence is https://oeis.org/A081287 -- tightest packings in a rectangle for squares of size 1 to n. Triangles seem to pack better. For example, the order 3 set has 6 triangles with small side 1 to 3, and small side 1 to 3 times sqrt(2). These pack perfectly in a 3x7 rectangle (a nice little puzzle). The order 11 set of 22 triangles packs very nicely. --Ed Pegg Jr