OFFSET
15,1
COMMENTS
A perfect dissection has no two triangles of the same side. Triangles of different orientation are counted separately. The computation by A. Drapal and C. Hamalainen proves Tutte's conjecture that the smallest perfect dissection has size 15.
LINKS
Ales Drapal and Carlo Hamalainen, An enumeration of equilateral triangle dissections, arXiv:0910.5199 [math.CO], 2009-2010.
W. T. Tutte, The dissection of equilateral triangles into equilateral triangles. Mathematical Proceedings of the Cambridge Philosophical Society, 44(4), 463-482. doi:10.1017/S030500410002449X
Stuart Anderson, An Introduction to Triangled Equilateral Triangles.
Stuart Anderson, Illustration of dissections for n=15.
Stuart Anderson, Illustration of dissections for n=16.
Stuart Anderson, Illustration of dissections for n=17.
Stuart Anderson, Illustration of dissections for n=18.
Stuart Anderson, Illustration of dissections for n=19.
Stuart Anderson, Illustration of dissections for n=20.
CROSSREFS
KEYWORD
nonn,more,hard
AUTHOR
Hugo Pfoertner, Aug 08 2017
STATUS
approved