Cube 5-Compound
A Polyhedron Compound consisting of the arrangement of five Cubes in the Vertices of a Dodecahedron. In the above figure, let 
be the length of a Cube Edge. Then
 |  |  | |
 | |  | |
 | |  | |
 | |  | |
 | |  |
The compound is most easily constructed using pieces like the ones in the above line diagram. The cube 5-compound has the30 facial planes of the Rhombic Triacontahedron (Ball and Coxeter 1987).See also Cube, Cube 2-Compound, Cube 3-Compound, Cube 4-Compound, Dodecahedron, Polyhedron Compound, Rhombic Triacontahedron
References
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 135 and 137, 1987. Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 135-136, 1989.
- Just If
- Just One
- Kabon Triangles
- Kac Formula
- Kac Matrix
- Kakeya Needle Problem
- Kakutani's Fixed Point Theorem
- Kakutani's Problem
- Kalman Filter
- Kampyle of Eudoxus
- KAM Theorem
- Kanizsa Triangle
- Kantorovich Inequality
- Kaplan-Yorke Conjecture
- Kaplan-Yorke Dimension
- Kaplan-Yorke Map
- Kappa Curve
- Kaprekar Number
- Kaprekar Routine
- Kaps-Rentrop Methods
- Kapteyn Series
- Karatsuba Multiplication
- k-ary Divisor
- Katona's Problem
- Kauffman Polynomial F