Building Wooden Archimedean Solids

da Vinic's Polyhedra Φ Project #5

All 13 of the Archimedean Solids are now built out of wood. 

The study of polyhedra develops spatial reasoning and imagination while providing the foundation for points in 3D  space to a vertex-plan view drawing of 2D points. Precise geometric forms are powerful examples to show off one's mastery, as they require a clear understanding of the relationship between 3D objects and 2D projections.[George Hart: 2022]

Snub Dodecahedron: Edge Length 2.75": Circumradius 5.92856"

Truncated Tetrahedron: Edge Length 2.75": Circumradius 3.22465"

Truncated Tetrahedron

Archimedean Solid Truncated Tetrahedron table saw blade tilt angle settings:

4 Hexagons

4 Equilateral Triangles

Dihedral Angle

109.471220635°

Polygon Saw Blade Bevel Angles

Equilateral Triangle: 15.79°

Hexagon: 54.73°

Glue up Templates for Truncated Tetrahedron

Cut and glue time: 2 Hours.

Make a vertical jig. Set the table saw blade tilt to 35.26°. 

Snub Dodecahedron

Material: Equilateral Triangles-Yellowheart and Bubinga, Pentagons-Bolivian Rosewood

Archimedean Solid Snub Dodecahedron table saw blade tilt angle settings:

12 Pentagons

80 Equilateral Triangles

Dihedral Angle

159.93022°

Polygon Saw Blade Bevel Angles

Equilateral Triangle: 7.91223°

Pentagon: 19.15756°

Glue up Templates for Truncated Dodecahedron

Cut and glue time: 12 Hours.

All 13 of the Archimedean Solids are now built out of wood.