A nifty little triangle that once configured into a pentagon, tiles
aperiodically. Some tilings
These were done either for a math class I offered at Williams College, or as a part of my generalized research (vaguely applied to metallurgy and computer architecture) sporadically conducted over the past few decades. There are more, if I ever have time to put them here.
A nifty little triangle that once configured into a pentagon, tiles
aperiodically.
A
rather nice pattern based on a pentagon employing slightly
unusual (for tiles) angles. The link shows another use.
The simple 60 degree rhombus makes
for some pretty patterns.
Dancing pentatiles
with obligatory and optional determinism
A demonstration that this pentatile tiles the plane nondeterministically (or "nonperiodically").
Half-hexagons
-- are all tilings with this tile dominable (coverable by dominos)? 
Triangles and
dominos -- Tilings by this triangular tile
are not always coverable by dominos.
This little applet displays a sort of random walk using a triangular tile.
Look here
for a sample of my ongoing research.
See copyright notice.
More with rhombi
