Isogonal Figure - K-isogonal Figures

K-isogonal Figures

A polytope or tiling may be called k-isogonal if its vertices form k transitivity classes.


This truncated rhombic dodecahedron is 2-isogonal because it contains two transitivity classes of vertices. This polyhedron is made of squares and flattened hexagons.

This demiregular tiling is also 2-isogonal. This tiling is made of equilateral triangle, square and regular hexagonal faces.

2-isogonal 9/4 enneagram

A more restrictive term, k-uniform figures is defined as an k-isogonal figure constructed only from regular polygons. They can be represented visually with colors by different uniform colorings.

Read more about this topic:  Isogonal Figure

Famous quotes containing the word figures:

    But that wasn’t fancy enough for Lord Byron, oh dear me no, he had to invent a lot of figures of speech and then interpolate them,
    With the result that whenever you mention Old Testament soldiers to
    people they say Oh yes, they’re the ones that a lot of wolves dressed up in gold and purple ate them.
    Ogden Nash (1902–1971)