search for books and compare prices
Tables of Contents for Zome Geometry
Chapter/Section Title
Page #
Page Count
Introduction
ix
Angles, Polygons, Polyhedra
Teacher Notes
1
2
Angles and Regular Polygons
3
1
Prisms, Antiprisms, and Pyramids
4
2
Zome System Components, Notation, and Scaling
6
5
Explorations 1
8
1
Icosahedron and Dodecahedron
Teacher Notes
9
2
Building and Counting
11
1
Scaling
12
6
Explorations 2
13
2
The Platonic Solids
Teacher Notes
15
3
Green Polygons
18
1
The Regular Tetrahedron and Octahedron
19
2
Only Five Platonic Solids: A Proof
21
1
Truncation
22
4
Exploration 3
23
2
Counting Strategies
Teacher Notes
25
1
Counting Strategies
26
4
Explorations 4
28
1
Symmetry
Teacher Notes
29
1
Icosahedron and Dodecahedron Symmetries
30
2
Simple Polyhedra Symmetries
32
2
Cube and Related Symmetries
34
5
Explorations 5
35
2
Euler's Theorem
Teacher Notes
37
2
Faces, Vertices, and Edges
39
2
Topology
41
6
Explorations 6
43
2
Sum and Ratio Patterns
Teacher Notes
45
2
Finding the Patterns Using Geometry
47
2
Finding the Patterns Using Measurement
49
2
The Golden Ratio and Scaling
51
6
Explorations 7
53
2
Tessellations
Teacher Notes
55
2
Basic Tessellations
57
2
Nonperiodic Tilings
59
6
Explorations 8
60
3
Duality
Teacher Notes
63
2
Dual Tessellations
65
1
Dual Platonic Solids
66
1
Dual Polyhedra
67
6
Explorations 9
69
2
Descartes' Theorem
Teacher Notes
71
2
Angular Deficit
73
3
Nonconvex Polyhedra
76
4
Explorations 10
78
1
Cubes in a Dodecahedron
Teacher Notes
79
1
One Cube
80
1
Five Cubes
81
1
Related Constructions
82
11
Explorations 11
83
4
The Archimedean Solids
Teacher Notes
87
6
The Icosidodecahedron
93
1
Archimedean Solids and Notation
94
1
Archimedean Solids in the Zome System
95
6
Explorations 12
97
2
Zome Lengths and Angles
Teacher Notes
99
2
Lengths
101
3
Angles
104
2
Dihedral Angles
106
4
Explorations 13
108
1
Zonohedra
Teacher Notes
109
1
Rhombic Zonohedra
110
2
Zones
112
2
Stars
114
6
Explorations 14
116
3
Area
Teacher Notes
119
1
Calculating Area
120
1
Scaling Area
121
4
Explorations 15
122
1
Space Structures
Teacher Notes
123
2
Filling Space
125
3
Packing Spheres
128
2
The FCC Lattice
130
6
Explorations 16
132
3
Volume
Teacher Notes
135
1
Prisms and Scaling
136
1
Pyramids and Beyond
137
5
Explorations 17
138
1
Big Domes
Teacher Notes
139
2
Guidelines for Building Big Domes
141
1
Zonish Big Domes
142
2
Single-Layer Domes
144
2
Two-Layer Domes
146
5
Explorations 18
147
2
Coordinates
Teacher Notes
149
2
Vertex Coordinates
151
2
Point Operations
153
8
Explorations 19
156
3
Self-Intersecting Polyhedra
Teacher Notes
159
2
Self-Intersecting Polygons
161
2
The Kepler-Poinsot Polyhedra
163
3
Uniform Polyhedra
166
9
Explorations 20
169
4
The Fourth Dimension
Teacher Notes
173
2
Hypercubes
175
3
Simplexes
178
1
Coordinates and Cross Polytopes
179
1
The 120-Cell
180
4
Explorations 21
182
1
Stellations
Teacher Notes
183
1
Stellated Polyhedra
184
2
More Stellations
186
6
Explorations 22
188
3
Fractals
Teacher Notes
191
1
Introduction to Fractals
192
2
Sierpinski in Three Dimensions
194
2
More Three-Dimensional Fractals
196
4
Explorations 23
198
1
Proofs of Euler's and Descartes' Theorems
Teacher Notes
199
1
Proof of Euler's Theorem
200
3
Proof of Descartes' Theorem
203
2
Explorations 24
204
1
Further Explorations
205
8
Answers
213
44
Resources
257
2
Index of Polyhedra
259
6
Zome Struts
265
<