Math 242 - Polyhedron Project

Students in Foundations of Geometry complete a construction project at the end of the semester.


1)      Select the polyhedron you wish to make.  Different models will be worth more points so you may want to choose the model carefully.

2)      Using your sketchpad tools and what we have learned in class design a net that will form your polyhedron.  Do not be confined to one sheet of paper.  The minimum size of 4 inches requires at least two sheets of paper.  You may want to create one in all white to test your design.  Some construction techniques will be discussed in class.

3)      Choose colors for your polyhedron that accents some property you see in the figure.

4)      Construct the polyhedron using great care to make it as accurate as possible.

5)      Write a paragraph that describes your polyhedron.  Your description should include the types and number of faces, the vertex pattern, symmetry you observe and how you decided to color it.

Actual Projects

Fall 2006 - the newest projects.

Fall 2005 

Fall 2004

Fall 2003



Each project is assigned a start value.  Deductions are made based on the grading criteria.

Start Values:

100 points - Snub Dodecahedron, Rhombicosidodecahedron, Truncated Icosidodecahedron, Any Kepler Poinsot, Anything from the Icosahedral Symmetry Group

90 points - Snub Cube, Icosidodecahedron, Truncated Icosahedron, Truncated Dodecahedron, Anything from the octahedral symmetry group.

80 points - Rhombicuboctahedron, Truncated Cuboctahedron, anything from the Tetrahedral symmetry group.

70 points - Icosahedron, Truncated Octahedron, Truncated Cube, Cuboctahedron

60 points - Dodecahedron, Octahedron, Cube, Truncated Tetrahedron


                        Completed Project

                        30 point deduction for a project with no pre-assigned start value.

                        20 point deduction for a late or unfinished project

                        15 point deduction for a major defect or incorrect assembly.


                        12 point deduction for an all white project.

                        10 point deduction if only one color is used.

                        7 point deduction if faces with same color share an edge.

                        5 point deduction if colors don’t have a pattern.


                        10 point deduction if tape is visible on the outside of the project.

                        10 point deduction for irregular faces

                        7 point deduction for a defect that gives the solid a “good side”and a “bad side”.

                        7 point deduction for messy glue or fingerprints on model.

                        7 point deduction for uneven seams

                        5 point deduction for flimsy material.

                        5 point deduction for open seams.

                        Fact Sheet

                        7 point deduction for incorrect name.

                        3 point deduction for each missing element on the fact sheet.