id: 06520644
dt: j
an: 2016a.00864
au: Larson, Christopher; Malkevitch, Joseph
ti: Polyiamonds.
so: Consortium 108, 3-9 (2015).
py: 2015
pu: COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
la: EN
cc: K30 K20
ut: nets; polyhedra; equilateral triangles; graph theory; combinatorics; plane
graphs; Euler’s polyhedral formula; convex polyhedra; medial graphs;
bipartite graphs; length; convex deltahedra; planar 3-connected graphs;
Diophantine equations; polyiamonds
ci:
li:
ab: From the text: Polyiamonds are geometric figures formed by attaching
equilateral triangles edge-to-edge in the plane without creating holes.
Two sample polyiamonds are shown. Figure 1 shows a polyiamond obtained
from a simple (non-self-intersecting) 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 easy-to-describe and “experiment
with" geometric objects.
rv: