
06520644
j
2016a.00864
Larson, Christopher
Malkevitch, Joseph
Polyiamonds.
Consortium 108, 39 (2015).
2015
COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
EN
K30
K20
nets
polyhedra
equilateral triangles
graph theory
combinatorics
plane graphs
Euler's polyhedral formula
convex polyhedra
medial graphs
bipartite graphs
length
convex deltahedra
planar 3connected graphs
Diophantine equations
polyiamonds
From the text: Polyiamonds are geometric figures formed by attaching equilateral triangles edgetoedge in the plane without creating holes. Two sample polyiamonds are shown. Figure 1 shows a polyiamond obtained from a simple (nonselfintersecting) polygon by subdividing it into equilateral triangles, while Figure 2 has ``internal" vertices. Our goal will be to show some properties of polyiamonds and indicate how much is still not known about these easytodescribe and ``experiment with" geometric objects.