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Man and Beast 01: Constitutional Characters. Systematic naming of symmetric and forward-only coprime radial pieces.[All Comments] [Add Comment or Rating]

Charles Gilman wrote on Mon, Jul 14, 2008 05:56 AM UTC:

You're right about the piece that you correctly define as the MAB 14
Sexton. I have added something to that effect to the article.
	I can visualise two kinds of truncated octahedron. Both have 6 square
faces but one has 8 triangles and the other 8 hexagons, depending on how
far you truncate. It seems to be the type with hexagons that tesselates
(please confirm or correct this deduction), and I have already considered
hex prisms as a cell mixing hexagonal and rectilinear faces. Hex prisms,
however, can be sized so that the distance between cells adjoining on both
shapes of face are the same. With truncated octahedrons, the distance
between cells adjoining on hexagonal faces seems to be root (3/4) times
the distance between those adjoining at square faces. That calculation is
based three lots of half the latter distance at right angles. If so it
complicates things as not every SOLL is measurable as an integer multiple
of the shortest.
	Another interesting geoimetric property that I have recently noticed is
that oblique leapers restricted to alternate directions (so that all moves
are at right angles) are (like radial leapers ordinarily) bound to the
proportion of the square-cell 2d board reciprocal to their SOLL.