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
Y3	.Stel	0	(R)(A)(C)(D)	227	10, 15	Tetrahedron
S3	.Stel	0	(R)(A)(C)(D)	51	11, 15	Octahedron aka Square Bipyramid
I5	.Stel	0	(R)(A)(C)(D)	55, 160	15	Icosahedron aka sS3
J12	.Stel	0	(R)(A)(C)(D)	27	26	Triangular Dipyramid
J13	.Stel	0	(R)(A)(C)(D)	27	26	Pentagonal Dipyramid
J17	.Stel	0	(R)(A)(C)(D)	27	26	Gyroelongated Square Dipyramid
J51	.Stel	0	(R)(A)(C)(D)	27	26	Triaugmented Triangular Prism
J84	.Stel	0	(R)(A)(C)(D)	25, 27, 160	26	Snub Disphenoid aka Siamese Dodecahedron aka sS2
Y3Y3Y3	.Stel	0	(R)(A)	28		non-convex deltahedron
Y3S3	.Stel	0	(R)(C)	28		non-convex deltahedron
Y3S3Y3	.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).

Alexander's Polyhedra, (c) 1998-2006, Alex Doskey