Building Wooden Archimedean Solids

da Vinic's Polyhedra Φ Project #5

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°

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.