| 1 |
Stellations in Two Dimensions |
This set of notes discusses stellations of two cores in two dimensions. This material is discussed briefly at the beginning of the next set of notes.
Download.
|
| 2 |
Stellations of Two Cores |
This draft manuscript looks at stellations of two cores; that is, looking at how space is divided into regions by the facial planes of two different polyhedra.
Download.
|
| 3 |
Dodecadodecahedral Stellations |
This set of notes looks at which uniform polyhedra can be viewed as stellations of two dodecahedra of different sizes.
Download.
|
| 4 |
Icosidodecahedral Stellations
|
This set of notes looks at which uniform polyhedra can be viewed as stellations of an icosahedron and a dodecahedron.
Download.
|
| 5 |
A Theory of Stellations
|
This set of notes discusses stellations of two cores in the abstract.
Download.
|
| 6 |
Describing Stellations Using a Binary System
|
This set of notes introduces a binary system to describe stellations which can be adapted to writing code to produce cell adjacency diagrams.
Download.
|
| 7 |
Cell Adjacency Diagrams
|
This set of figures is a collection of cell adjacency diagrams produced using the binary system described in the previous set of notes.
Download.
|
| 8 |
Irregular Pentagonal Dodecahedra |
This draft looks at stellations of dodecahedra whose faces are congruent irregular pentagons.
Download.
|
| 9 |
Duals of Stellations
|
This set of notes explores the fact that the dual of a stellation of a given polyhedron is a faceting of the dual of that polyhedron.
Download.
|
| 10 |
Creating Stellation Diagrams
|
This set of notes describes the mathematics of creating stellation diagrams. It can easily be adapted to a computer program.
Download.
|
| 11 |
Perfect Polyhedra
|
Several uniform polyhedra contain small cells which are difficult to build by hand. By adjusting the distances to the origin of some of the facial planes of a polyhedron, many of these small cells degenerate to a point and make for easier construction.
Download.
|