| Homework # 1 Due Friday February 11 |
Construct accurate models of the five Platonic polyhedria. You may use any material of your choosing. |
| Homework # 2 Due Monday February 14 |
Construct models of the following Archimedean polyhedra: Truncated tetrahedron, truncated cube, truncated octahedron, truncated icosahedron, truncated dodecahedron, cuboctahedron, icosidodecahedron. |
| Homework # 3 Due Friday February 18 |
Construct models of at least two more Archimedean polyhedra |
| Homework # 4 Due Monday, February 21 |
Experiment with Mathematica. |
| Homework #5 Due Friday, February 25 |
Write a Mathematica notebook that makes an animated drawing. |
| Homework #6 Due Monday, February 28 |
Write Mathematica notebook for a rotating cube |
| Homework #7 Due Friday, March 4 |
Adapt your rotating cube Mathematica program so that it draws a rotating tetrahedron. |
| Homework #8 Due Monday, March 7 |
Build a three-dimensional model of the hypercube |
| Homework #9 Due Friday, March 11 |
Write and debug the Mathematica notebook hypercube.nb |
| Homework #10 Due Monday, March 14 |
Modify your hypercube notebook to include color. Experiment with rotating the cube. |
| Homework #11 Due Friday, March 18 |
1. Adapt your hypercube notebook so that it also draws the 4-D Octahedron. |
| Homework #12 Due Monday, March 28 |
Work out coordinates of vertices of the 4-D Simplex. Please write up your solution neatly and explain your reasoning. Write as if I didn't know the answer; your paper should convince me of the validity of your conclusions. |
| Homework #13 Due Monday, April 4 |
Adapt your Mathematica program so that it draws a rotating 4-D simplex. |
| Homework #14 Due Friday, April 8 |
1. Adapt your Mathematica program so that it draws a rotating
4-D truncated simplex. 2. Find the number of vertices, edges, faces and cells of this object. Verify Euler's Formula holds. |
| Homework #15 Due Monday, April 11 |
1. Find the tetrahedron and octahedron cells in your drawing of the
deeply truncated 4-D simplex. |
| Homework #16 Due Monday, April 18 |
Complete your drawing of the 24-cell. Identify the locations of its 24 octahedron cells. Compute the number of vertices, edges, and faces. Be prepared to turn in your work. |
| Homework #17 Due Friday, April 22 |
Create a computer-animated image of the 24-cell. |
| Homework #18 Due Monday, April 25 |
You have created images of the truncated 4-D simplex, the deeply truncated 4-D simplex, and the deeply truncated 4-D octahedron. Create another image (still or computer animated) of one other truncated polyhedron of your choosing. Consider truncating the hypercube or the 24-cell. |