Rhombic Triacontahedron
A Zonohedron which is the Dual Polyhedron of the Icosidodecahedron. It is composed of 30Rhombuses joined at 32 vertices. Ede (1958) enumerates 13 basic series of stellations of the rhombictriacontahedron, the total number of which is extremely large. Messer (1995) describes 226 stellations. The intersectingedges of the Dodecahedron-Icosahedron Compound form the diagonals of 30 Rhombuses which comprisethe Triacontahedron. The Cube 5-Compound has the 30 facial planes of the rhombic triacontahedron (Ball andCoxeter 1987).
See also Cube 5-Compound, Dodecahedron-Icosahedron Compound, Icosidodecahedron, Rhombic Dodecahedron, Rhombus,Zonohedron
References
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 137, 1987. Bulatov, V. ``Stellations of Rhombic Triacontahedron.''http://www.physics.orst.edu/~bulatov/polyhedra/rtc/. Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 127, 1989. Ede, J. D. ``Rhombic Triacontahedra.'' Math. Gazette 42, 98-100, 1958. Messer, P. W. ``Les étoilements du rhombitricontaèdre et plus.'' Structural Topology No. 21, 25-46, 1995.
- Parallel Class
- Parallel Curve
- Parallelepiped
- Parallelism
- Parallelizable
- Parallelogram
- Parallelogram Illusion
- Parallelogram Law
- Parallelohedron
- Parallelotope
- Parallel Postulate
- Parallel (Surface of Revolution)
- Paralogic Triangles
- Parameter
- Parameterization
- Parameter (Quadric)
- Parametric Latitude
- Parametric Test
- Pareto Distribution
- Parity
- Parity Constant
- Parking Constant
- Parodi's Theorem
- Parry Circle
- Parry Point