Building Archimedean Solids and Platonic Solids
There have been thousands of mathematical pages written on the Archimedean solids and the Platonic solids. However, there has not really been any published work on how to build the Archimedean solids and Platonic solids. This book is the most comprehensive work ever published on how to construct the Archimedean solids and the Platonic solids.
The field of polyhedral geometry, a foundational branch of mathematics, relies on a precise set of terminology to describe the spatial relationships and properties of three-dimensional forms.
Unfortunately, the foundational branch of mathematics for polyhedral geometry does not include the terminology of carpenters who, for centuries, built the Archimedean solids without the aid of mathematics.
Whether you re building hollow solids or skeletal solids, this book includes miter angles, blade tilt angles, diagrams, and templates to help you make these solids either as hollow solids or as skeletal solids.
This book utilizes geometry to draw out the vertex for each polyhedron, thereby obtaining the dihedral angle and edge bevel angles. No math is required.
This is a PDF file download. 382 pages. This book-PDF has over 40 templates that you can print at a 1:1 scale on 11x17" paper. This purchase also includes Posters.PDF download, and Pythagorean Brotherhood Descendants Math Notes PDF download.
Buy for the low price of $39.95
Table of Contents Getting Started Building the Archimedean Solids Polygon Table Saw Sled Setup Hollow Solids Polygon Table Saw Sled Templates Platonic Solid Vertex Drawings for Hollow Solids Tetrahedron Cube Octahedron Icosahedron Dodecahedron Archimedean Solid Compound Joinery Developing the vertex drawings for the Archimedean Solids Archimedean Solids Vertex Drawings for Hollow Solids Bevel Angles for Blade Tilt Scribe Block for the Archimedean Solids Building the Hollow Archimedean Solids Truncated Tetrahedron Cuboctahedron Truncated Cube Truncated Octahedron Small Rhombicuboctahedron Truncated Cuboctahedron Icosidodecahedron Snub Cube Truncated Dodecahedron Truncated Icosahedron Rhombicosidodecahedron Truncated Icosidodecahedron Snub Dodecahedron Golden Rectangle Rhombicosidodecahedron Platonic Solid Tetrahedron As a Solid-Solid Archimedean Solid Fish Tanks Archimedean Solid Solar Powered Lights with Light Refraction Skeletal Solids Platonic Solids Tetrahedron Cube Octahedron Icosahedron Dodecahedron Archimedean Solids Truncated Tetrahedron Cuboctahedron Truncated Cube Truncated Octahedron Small Rhombicuboctahedron Truncated Cuboctahedron Icosidodecahedron Snub Cube Truncated Dodecahedron Truncated Icosahedron Rhombicosidodecahedron Truncated Icosidodecahedron Snub Dodecahedron
ISBN's
- First Edition 979-8-218-81813-5