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Some Regular Compounds of Star-Polyhedra

Published online by Cambridge University Press:  03 November 2016

Anthony Smith
Anthony Smith*
Affiliation:
Trinity College, Cambridge
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Extract

It is well known that the simpler regular solids can be assembled into compounds which have, as a whole, the symmetry of a more complicated solid : two tetrahedra with a symmetry of a cube, five cubes with that of a dodecahedron, and so forth ([1] p. 134, [2] p. 134).

Type
Research Article
Information
The Mathematical Gazette , Volume 57 , Issue 399 , February 1973 , pp. 39 - 46
Copyright
Copyright © Mathematical Association 1973

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References

1. Ball, W. W. Rouse (revised by Coxeter, H. S. M.), Mathematical Recreations and Essays (11th edition). Cambridge (1939).Google Scholar
2. Cundy, H. M. and Rollett, A. P., Mathematical Models (2nd edition). Oxford (1961).Google Scholar
3. Brückner, M.. Über die gleicheckig-gleichflächigen, diskontinuierlichen und nicht-konvexen Polyeder, in the Nova Acta for 1906 of the Kaiserliche Leopoldinisch-Carolinische Deutsche Akademie der Naturforscher.Google Scholar
4. Hess, E.. Über zwei konzentrische regelmässige Anordnungen von Kepler-Poinsotschen Polyeder, in the Sitzungsberichter for 1878 of the Gesellschaft zur Beförderung der gesammten Naturwissenschaften zu Marburg.Google Scholar