Square / Eq. Triangle Dissection Problems
Antreas P. Hatzipolakis
xpolakis at otenet.gr
Fri May 28 23:06:41 CEST 1999
The following problem appeared in the Monthly, but I don't know of
any published solutions:
Let n be fixed. In how many ways can a square be dissected into
(a) n congruent rectangles
(b) n rectangles of equal area?
AMM 88(1981) 444 (E 2894) proposed by Thomas Ihringer
I posted the same problem, but for Equilateral Triangle, to sci.math
(under the pseudonym Radamanthys) but there were no responses:
In how many ways can an Eq. Tr. be dissected into n triangles of equal area?
I found by hand (a computer program would be of great help!):
n ways
___________
1 1
2 3
3 16
4 100 (?)
Does anyone know of any sequences related to these problems?
Antreas
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