Search Results for: SGDS
Sacred Geometry Design Sourcebook – sample – (page 101) Circle on Each Dodecagon Edge Fractal
Polyhedra: Math Tables for Platonic And Archimedean Solids
Polyhedra Tables of Platonic And Archimedean Solids
Names, Symmetries, Numbers of Polygons, Faces, Edges, Vertices, Surface Areas, Volumes, Dihedral Angles, Central Angles, Sphere Ratios of Insphere, Intersphere, Circumsphere Radius and Edges, Face Angles for Corresponding Face Components
Here’s a downloadable pdf of the page.
SGDS-p243-PlatonicArchimedeanSolidDataPolyhedra: Illustrations of Platonic And Archimedean Solids
Images of the Five Platonic Solids
Here are fold-up patterns for the Platonic Solids.
Images of the Thirteen Archimedean Solids
Here are fold-up patterns for the Archimedean Solids.
Update to page 243 of Sacred Geometry Design Sourcebook
Note: This update only applies if you a copy of Sacred Geometry Design Sourcebook that was printed before about 1999; check page 243 and look for the volume of the Snub Dodecahedron; if you don’t see: “37.61665”, then copy the graphic above and paste it over the corresponding section on page 243 to provide more accuracy.
A number of years ago, realizing that I needed a few more digits to complete the desired 6-decimal place accuracy for a few of the more complicated archimedeans (particularly the snub dodecahedron), I held a book give-away contest to the first person who could provide the missing digits of accuracy, and show how these were derived. Johan of Delfgauw, Netherlands, was the contest winner (a true math enthusiast and a a student of Industrial Design Engineering at the Technical University of Delft. Johan won a free copy of my Sacred Geometry Design Sourcebook.
Archimedean Solids – Fold Up Patterns
All graphics on this page are from Sacred Geometry Design Sourcebook
- The Truncated Tetrahedron
- The Truncated Cube
- The (Small) Rhombicuboctahedron (a.ka. Square Spin)
- The Snub Cube
- The (Rhombi)truncated Cuboctahedron (a.k.a. Great Rhombicuboctahedron)
- The Cuboctahedron (Dymaxion)
- The Truncated Octahedron (Mecon)
- The Truncated Dodecahedron
- The (Small) Rhombicosidodecahedron
- The Snub Dodecahedron
- The (Rhombi)truncated Icosidodecahedron (a.k.a. Great Rhombicosidodecahedron)
- The Icosidodecahedron
- The Truncated Icosahedron (This is the pattern for a soccer ball, which becomes more spherical when inflated.)
Here are Platonic Solids – Fold Up Patterns