Gallery
- Icosahedron --- Adapted from example
of pyramid defined by the coordinates of its vertices and polygons.
Produced with POV-Ray by Laura Berry.
- Spherestack --- A collection of glass spheres.
Produced with POV-Ray by Stephenie Swope.
- Spiral Hollowed Cube --- A cube with a twisting stack removed from it.
Produced with POV-Ray by Brian Vincent.
- Spheres and Cubes --- Produced with POV-Ray by Jessica Sherman.
- Lava Lamp --- Produced with POV-Ray by Graham Barth.
- Laser --- Adapted from the POV-Ray file by Dan Farmer.
Produced with POV-Ray by Amanda Sernulka.
- Hansel and Gretel? --- Produced with POV-Ray by Kelcy Monday.
- Skewed View in Blue --- Produced with POV-Ray by Nathaniel Holcomb.
- Toychest --- Animation produced with POV-Ray by Laura Berry.
Animation of the construction of a cube from square faces (idea from
Flatland). Clear front of toy chest provides view of ball being
dropped in. Created with aid of "Icosahedron movie" and class
notes on sine and cosine.
- Tetrahedron Duality --- Animation produced with POV-Ray by
Stephenie Swope. Making a point in the center of each face of the
tetrahedron, and connecting those points by lines, you draw the edges
of another tetrahedron, turned in a different direction from its
parent. As shown on page 7 in Holden, the tetrahedron is
self-dual. This self-duality is shown in this video. The red tetrahedron is
inscribed with a smaller, upside-down green tetrahedron. When we look
closer, the green tetrahedron is inscribed with a smaller,
rightside-up red tetrahedron. When we look even closer, we again see
an upside-down green tetrahedron. This duality would continue for an
infinite number of tetrahedrons.
- Cube/Octahedron Duality --- Animation produced with POV-Ray by
Brian Vincent. The animation demonstrates the "duality" of the cube
and the octahedron.
It opens with the tetrahedron moving inside the box, its 6 points
falling at the center of the cube's 6 faces. Then the octahedron expands to
appropriate size, so that the cube is now inside, with its 8 points at
the center of the octahedron's 8 faces. The needed change in the size of
the octahedron to accomplish this feat is the focal point of the
animation.
- Rotating Cylinders --- Animation produced with POV-Ray by
Nathaniel Holcomb.
- Pool Shot --- Animation produced with POV-Ray by Graham Barth.
- Polynomial Surfaces --- Animation produced with POV-Ray by Kelcy
Monday.
- Eclipse -- Animation produced with POV-Ray by Jessica Sherman.
- 16-cell produced with POV-Ray by Kelcy Monday. The two opposite
tetrahedra have different colors, as do the connecting edges between
them.
- 4-simplex produced with POV-Ray by Stephenie Swope.
- 24-cell produced with POV-Ray by Nathaniel Holcomb
- 24-cell produced with POV-Ray by Brian Vincent
- 24-cell produced with POV-Ray by Jessica Sherman
- 24-cell produced with POV-Ray by Laura Berry.
- 24-cell produced with POV-Ray by Stephenie Swope. Here are 4
files:
- 24-cell produced with POV-Ray by Graham Barth.
- Imagining the Hypercube: The Journey from the Point to the
Four-Dimensional Cube. Laura Berry
- Demonstration of stereographic projection. Graham Barth.
- Ruled Surfaces. Brian Vincent.
- The Fourth Dimension, Reached through Tangency. Nathaniel Holcomb.
- Introduction to Chaos Theory. Jessica Sherman.
- Platonic Solids and the Five Intersecting Tetrahedra. Stephenie
Swope.
- Projections of Regular Polytopes by Kelcy Monday
- Other Photos
