16 citations · 32 across the 20 of their papers we have counts for
6 papers · 1 filter
Tiling a triangle into a prime number of congruent triangles
Michael Beeson
We show that, apart from a few known exceptions, if a triangle is cut into congruent triangles, then is not a prime number. The exceptions are cutting an isosceles triangle…
Triangle Tiling I: The tile is similar to ABC or has a right angle
Michael Beeson
An N -tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile'". Th…
Triangle Tiling II: Nonexistence theorems
Michael Beeson
An N -tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The…
Triangle Tiling: The case
Michael Beeson
An -tiling of triangle by triangle (the ``tile'') is a way of writing as a union of copies of overlapping only at their boundaries. Let the tile have…
Triangle Tiling V: Tilings by a tile with integer sides
Michael Beeson
An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The…
Tilings of an Isosceles Triangle
Michael Beeson
An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The…