Chapter 4.5, Problem 28MS

Here we celeb rate the power of algebra as a powerful way of finding unknown quarnities by naming them, of expressing infinitely many relationships and connections clearly and succinctly, and of uncovering pattern and structure.

How do you pronounce that? There is a semi-regular solid with 26 faces composed of squares, hexagons, and octagons called the great rhombicuboctahedron (rhombi-cube-octahedron). Let’s just call it the Great R. It has half as many octagonal faces as square faces and two-thirds as many hexagonal faces as square faces. Find the number of faces the Great R has of each type.