All Questions
Tagged with pythagorean-triples discrete-geometry
2 questions
5
votes
2
answers
363
views
Triangulating the plane using edges of unique rational lengths
Basic question: Can the Euclidean plane be divided into a vertex-to-vertex arrangement of non-overlapping triangles such that every edge has a unique rational length that lies between 1 and some ...
8
votes
1
answer
361
views
Integer points avoiding three on a line, four on a circle
A century ago, Dudeney asked to place $16$ pawns on a chessboard with no three
on a line:
As described by David Eppstein,1 the maximum number $g_3(n)$ points that
...