Donald Coxeter (1907 - MacTutor History of Mathematics.
The 30 Vertices of an Octahedron 5-Compound form an icosidodecahedron (Ball and Coxeter 1987). Faceted versions include the Small Icosihemidodecahedron and Small Dodecahemidodecahedron. The faces of the icosidodecahedron consist of 20 triangles and 12 pentagons.
Arithmetical recreations. Geometrical recreations. Polyhedra. Chess board recreations. Magic squares. Map-coloring Problems. Unicursal problems. Kirkman's school-girls problems. Miscellaneous problems. Three classical geometrical problems. Calculating prodigies. Cryptography and cryptanalysis. Subject headings Mathematical recreations.
For over eighty years this delightful classic has provided entertainment through mathematical problems commonly known as recreations. Although they often involve fundamental mathematical methods and notions, their chief appeal is as games or puzzles rather than the usefulness of their conclusions. This new edition upholds the original, but the terminology and treatment of problems have been.
H. S. M. Coxeter The Beauty of Geometry: Twelve Essays H. S. M. Coxeter and S. L. Greitzer Geometry Revisited (New Mathematical Library) H. S. M. Coxeter Introduction to Geometry, 2nd Edition H. S. M. Coxeter Non-Euclidean Geometry H. S. M. Coxeter Regular Complex Polytopes H. S. M. Coxeter Regular Polytopes Dover Books Princeton Science Library.
A000170 Number of ways of placing n nonattacking queens on an n X n board.. W. W. Rouse Ball and H. S. M. Coxeter, Mathematical Recreations and Essays, 13th ed., New York, Dover, 1987, pp. 166-172 (The Eight Queens Problem).. Eric Weisstein's World of Mathematics, Maximum Independent Vertex Set. Eric Weisstein's World of Mathematics.
The edges of the two tetrahedra form the 12 Diagonals of a Cube.The solid common to both tetrahedra is an Octahedron (Ball and Coxeter 1987). See also Cube, Octahedron, Polyhedron Compound, Tetrahedron. References. Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 135-137, 1987.
His Introduction to Geometry, for example, is on this year's undergraduate curriculum at McGill. Coxeter's famed revision of the 1887 text Mathematical Recreations and Essays is now in its 13th edition; and his personal favourite, Regular Complex Polytopes, published in 1974, went into its second edition in 1991.