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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 ...
Nandakumar R's user avatar
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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 ...
Joseph O'Rourke's user avatar