Archive for square

“Rhombicubotahedron” Wood Model

Posted in 1, geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , on August 19, 2010 by rndmodelshop

All wood Rhombicubotahedron Model

The Rhombicubotahedron is one of the 13 Archimedian Solids. This has 18 squares, 8 triangles, 24 vertices, and 48 pieces of wood. Each of the pieces are compound mitered so each is on an imaginary plane that passes through the center point.

I make these in pine, then wood stained in fruitwood (light, shown), walnut (dark), cherry (red), or ebony (black). Each piece is signed, then sealed in clear polyurethane.

9″ or 12″ tall

More geometry models on my website

“Truncated Octahedron” wood model

Posted in 1, geometry, Geometry Models with tags , , , , , , , , , , , , , , , , on July 5, 2010 by rndmodelshop

Wood Truncated Octahedron model, one of the 13 Archimedes Solids

It has 8 hexagons, 6 squares, 24 vertices, 36 pieces of wood, each compound mitered tword the imaginary center point. I make them 9″ or 12″ tall & wood stained in cherrywood, walnut, ebony, or just a clear polyurethane on wood (shown). The lightest are best for classroom, because they show cross shadows on the back pieces batter than darker stain.

For the complete index, please see my website.

Golden Ratio “Phi” Hexahedron

Posted in 1, geometry, Geometry Models with tags , , , , , , , , , , , , , , , , , , , , on July 5, 2010 by rndmodelshop

This is a 3 dimensional wood model of a rectangular hexahedron made to the proportions of the ‘Golden Ratio’ (phi). Nice little bookshelf or classroom lecture piece.

It’s either 9″ or 12″ on the longest axis with the corresponding pieces in very close fractional proportions to phi (its a conversation model, not for precision machinist work!). The ‘Golden Ratio’ is represented in black twice on this piece, the small to medium on the left, the medium to large on the right. I can make this in cherry wood or walnut wood stain (along with the black), or just clear coat polyurethane along with black as shown here.

For the complete polyhedron model index, please see my website.

A Cube of 8 Tetrahedron

Posted in 1, geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , on July 4, 2010 by rndmodelshop

A Cube of 8 TetrahedronTechnically its the same math as a cuboctahedron (8 triangles, 6 squares) but I made 8 tetrahedron in place of the triangles. This is symmetrical on all 6 planes, and it even looks nice standing up on a corner in a tripod stand.

This is typical of a 1950s – 60s Atomic Age ‘Mid Century Modern’ sculpture or light fixture.      9″ square, 48 pieces / Cherry, Walnut, Ebony wood stain or just Clear Polyurethane (shown).

For the complete polyhedron model index, please see my website.

4 Axis Stellated Tetrahedron in a Cube

Posted in 1, geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , , on July 4, 2010 by rndmodelshop

Stellated 4 point Tetrahedron in a Cube displayed diagonal on a stand.

The 4 axis of a Stellated Tetrahedron (below) exactly correspond to 4 of the 8 interior vertices of a typical frame Cube. I just combined the 2 figures into one.  This can be displayed up on its corner, or just flat on a cube surface. It makes a very nice table top geometry sculpture.

The cube is 9″ flat, the entire sculpture is aprox 16″ tall in the stand. Each is made to orderand wood stained in cherry (red) walnut (brown) ebony (black) or natural as shown (clear coat polyurethane) that turns an amber honey color as the wood ages. Cube 12 pieces, tetrahedron 18 pieces, 30 pieces in total (plus stand).

For the complete polyhedron model index, please see my website.

Wood Platonic Solids Models set for education & display

Posted in Geometry Models with tags , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , on April 12, 2010 by rndmodelshop

These are 9″ tall wood models of the 5 Platonic Solids I make for Math, Astronomy and Physics classroom visual aids. They are all compound mitered on all 3 axis at the vertices for maximum glue strength. They also make great office & home decor pieces. 9″ max on any axis seems to be the best for a 12″ cube box to ship them in. I have alot more geometry pieces on my website. Typically when I set up the saw for each of the compound miters, I make them in batches of 10 or so to keep down all of the set up time involved.

From left: Octahedron, Dodecahedron, Tetrahedron, Icosahedron & Cube. These are just clear polyurethane coated for clarity in the photos, but I also wood stain & clear seal them to match someones home or office decor.

 Wood Octahedron Model / 8 triangle planes, 6 vertices and 12 pieces.

 Wood Dodecahedron Model / 12 pentagon faces, 20 vertices and 30 pieces.

Wood Tetrahedron Model / 4 triangle planes, 4 vertices and 6 pieces.

Wood Icosahedron Model / 20 triangles, 12 vertices and 30 pieces.

Wood Cube Model / 6 squares, 8 vertices and 12 pieces.