Uniform Compounds
In 1976 John Skilling published Uniform Compounds of Uniform Polyhedra which enumerated 75 compounds (including 6 as infinite prismatic sets of compounds, #20-#25) made from uniform polyhedra with rotational symmetry. (Every vertex is vertex-transitive and every vertex is transitive with every other vertex.) This list includes the five regular compounds above.
Here is a pictorial table of the 75 uniform compounds as listed by Skilling. Most are singularly colored by each polyhedron element. Some as chiral pairs are colored by symmetry of the faces within each polyhedron.
- 1-19: Miscellaneous (4,5,6,9,17 are the 5 regular compounds)
- 20-25: Prism symmetry embedded in prism symmetry,
- 26-45: Prism symmetry embedded in octahedral or icosahedral symmetry,
- 46-67: Tetrahedral symmetry embedded in octahedral or icosahedral symmetry,
- 68-75: enantiomorph pairs
Read more about this topic: Polyhedral Compound
Famous quotes containing the words uniform and/or compounds:
“Truly man is a marvelously vain, diverse, and undulating object. It is hard to found any constant and uniform judgment on him.”
—Michel de Montaigne (1533–1592)
“We can come up with a working definition of life, which is what we did for the Viking mission to Mars. We said we could think in terms of a large molecule made up of carbon compounds that can replicate, or make copies of itself, and metabolize food and energy. So that’s the thought: macrocolecule, metabolism, replication.”
—Cyril Ponnamperuma (b. 1923)