As a warm-up exercise, this very short chapter explores the (R)(A)(C) deltahedra, to discover some of the issues involved in verifying a particular model (e.g. verifying that it is (A)) Don't worry, just one more chapter.
Model | .Stel | Genus | Properties | Pages with Diagram | Pages with Description | Notes |
Y_{3} | .Stel | 0 | (R)(A)(C)(D) | 227 | 10, 15 | Tetrahedron |
S_{3} | .Stel | 0 | (R)(A)(C)(D) | 51 | 11, 15 | Octahedron aka Square Bipyramid |
I_{5} | .Stel | 0 | (R)(A)(C)(D) | 55, 160 | 15 | Icosahedron aka sS3 |
J_{12} | .Stel | 0 | (R)(A)(C)(D) | 27 | 26 | Triangular Dipyramid |
J_{13} | .Stel | 0 | (R)(A)(C)(D) | 27 | 26 | Pentagonal Dipyramid |
J_{17} | .Stel | 0 | (R)(A)(C)(D) | 27 | 26 | Gyroelongated Square Dipyramid |
J_{51} | .Stel | 0 | (R)(A)(C)(D) | 27 | 26 | Triaugmented Triangular Prism |
J_{84} | .Stel | 0 | (R)(A)(C)(D) | 25, 27, 160 | 26 | Snub Disphenoid aka Siamese Dodecahedron aka sS2 |
Y_{3}Y_{3}Y_{3} | .Stel | 0 | (R)(A) | 28 | non-convex deltahedron | |
Y_{3}S_{3} | .Stel | 0 | (R)(C) | 28 | non-convex deltahedron | |
Y_{3}S_{3}Y_{3} | .Stel | 0 | (R)(C) | 28 | non-convex deltahedron |
Prev - Chapter 3 - Cardboard, Rubber Band Method
Next - Chapter 5 - Simplest (R)(A)(Q)(T) Toroids of genus p=1
Back to Adventures Among the Toroids - Index
Disclaimer: These pages are dedicated to B.M. Stewart. They are intended to be used by readers of his book to better illustrate his ideas in three dimensions. His book has tons of information that I do not intend to represent here, and I highly encourage anyone interested in this subject to buy the book. If you like my illustrations, please let me know. And if you are interested in a particular Stewart Toroid being modeled, please let me know and I will do what I can.
Thanks also to Robert Webb for his very cool "Stella" program. I have used it extensively to generate VRML files for my site. It is a great tool for rapid exploration of augmentations and excavations of polyhedra (among other things).