## Stony Brook University

MAT 118 Spring 2013

### Assignment 6 due in Recitation, week of March 11

- Mindscape 4 on page 284.
- Mindscape 15 on page 285.
- The polyhedron shown in Mindscape 30 (page 288) can
be derived from a red dodecahedron by replacing each edge with
a yellow square and each vertex with a blue triangle.
- Use this remark as a hint and calculate the total number
of faces of the "small rhombicosidodedahedron," as it is
called.
- Count the number of vertices and edges of this solid.
- Describe the dual of this polyhedron. How many faces does
it have and what do they look like?

- Draw a graph of your own with at least five vertices,
at least one loop, at least one double edge and at least one
"peninsula" edge (see page 419). Using a different color,
draw the dual of your graph. Draw another copy of your dual,
and, using a different color, draw
*its* dual. Check
that the last graph you obtain is the same as the one you started
with.
- Mindscape 9 on page 429.
- Mindscape 21 on page 431.