Rhombicuboctahedron  Fish Tank

Archimedean Solid Small Rhombicuboctahedron 

Faces

18 Squares

8 Equilateral Triangles

Polygon Saw Blade Bevel Angles

Square: 22.5°

Equilateral Triangle: 12.76°

Edge Length 3"

1/2" Polycarbonate material

Use the table saw scribe templates to scribe and cut the blade tilt blocks to 22.5° and  12.76°.

Set the table saw blade tilt to 22.5° for the square faces.

Bevel both edges of the material to a 3" width. Then edge bevel the end of the material. 

Cut the material into 6 1/2" pieces with an edge bevel at each end of the material. 

Then set a stop for the 3" width.

Cut all of the squares to a 3" square.

Set the table saw blade tilt to 12.76° for the Equilateral Triangles.

Edge bevel both edges of the material for the Equilateral Triangles. With the bevels being parallel. 

Bevel the end of the material. 

Lay out the Equilateral Triangles and make the cut so that the cut-off looks like a rhombus. 

Next, mark off the width of the Equilateral Triangle so it is the exact same width as the squares. 

Finish cutting the Equilateral Triangles with the table saw polygon sled. 

Tape the pieces together for the bottom of the Rhombicuboctahedron net.

Tape the entire bottom half of the Rhombicuboctahedron.

Turn the bottom of the Rhombicuboctahedron over and glue the pieces together. 

Tape up the top of the Rhombicuboctahedron.

Cut the tape around the top square of the Rhombicuboctahedron and remove the square. You can now glue the remaining pieces of the Rhombicuboctahedron together.

 Icosidodecahedron Fish Tank

Archimedean Solid Icosidodecahedron

Faces

12 Pentagons 

20 Equilateral Triangles

Edge Length 2.75"

1/2" Polycarbonate material

Dihedral Angle

142.62263°

Polygon Saw Blade Bevel Angles

Equilateral Triangle: 10.8123169°

Pentagon: 26.56505°

Set the table saw blade tilt to 26.57° for the pentagon faces.

Rip the 1/2" polycarbonate to 5" in width with the edge bevel.

Cut the material into 5" pieces. Then use the Pentagon table saw sled to bevel one edge. The previous bevel is against the stop with the edge bevel facing up. Set a width, a stop, and a toggle clamp to cut all 12 pieces to the same width. 

Then lay out one edge at 2.75" and place a stop with a toggle clamp to cut all of the pieces at the same width.

Rotate the pieces and cut all of the edges. 

Cutting the  20 Equilateral Triangles. 

Set the table saw blade tilt to 10.81° for the Equilateral Triangles. 

Rip the material to about 3" with the edge bevels being parallel.

Lay out two triangles and cut the material to form a rhombus. 

Lay out one edge of the material at 2.75" and set a width stop with the toggle clamp. 

Cut the triangles. 

Glue up 

Tape up a top and bottom. They will be identical. 

Tape the two pieces together. 

Cut the tape at the top pentagon face and remove it. Then glue the pieces together on the inside of the Icosidodecahedron. 

 Cutting Solid Tetrahedrons out of wood

The slant angle of the Tetrahedron is 70.52°. 

90° - 70.52° = 19.47° for the blade tilt. 

First, create a bevel on one edge of the material. Here I have a 2" x 2" x 12" piece of Purpleheart wood. With one edge ripped to 19.47°. 

Next, lay the material on the compound miter saw with the table saw edge bevel facing you. The miter angle is 30°, and the blade tilt is 19.47°. 

After the first cut, turn the material upside down. The table saw edge bevel will be facing the compound miter saw fence.  Lay out the desired Tetrahedron edge length at a 30-60° angle from the back edge of the material. In this example, the edge length is 2 1/8". 

Then make the cut to cut the Solid Tetrahedron. 

I was able to cut 4 solid Tetrahedrons out of each 12" piece of material. 

Remember to flip the material back to the starting position each time you cut the Tetrahedron. 

Video showing the complete process for cutting the Solid Tetrahedron. 

 Roman Dodecahedrons Made out of Wood

Platonic Solid Dodecahedron

12 Pentagonal Faces

Roman Dodecahedron made out of Ash. 

The Roman Dodecahedron is painted with metallic Silver, and the rings are painted with carbon black. 

This Roman Doecahedron made out of Walnut has a 2 1/2" hole in each face. 

Cut 12 Pentagons with a 31.71° blade tilt for the edge bevel. (Note: This picture is from an Archimedean Solid. It does not have the 31.71° blade tilt.)

Drill a circle 1/8" deep with a 3" diameter drill bit.

Drill a circle 1/8" deep with a 2 1/4" diameter drill bit.

Drill a hole with a 1 1/2" diameter drill bit.

Glue up the pentagon pieces.

Add balls at each vertex of the Dodecahedron. I drilled a 3/16" hole at each vertex. Then, I use instant glue to attach the miller dowels, with a ball at each vertex.

I used Miller wood screw dowels with a 1/2" maple ball glue to each dowel. 

Video showing the complete process for the Roman Dodecahedra made out of wood.