Archive for Cube

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.

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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 Truncated Cube Model

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

This is an all wood truncated cube model, clear coated with a semi-gloss polyurethane finish. These can be displayed either on the flat surface or up on the corner for a different look. A couple in different sizes make a nice decor piece.

It has 6 octagons, 8 triangles, 32 vertices and 36 pieces of wood, each angled tword the center point of the piece. As the wood gets older it gets more of a honey color under the polyurethane coat, but I also wood stain depending on what someone prefers. This one is 9″ tall.

Plethora of Polyhedron Models and Sculpture

Posted in 1, geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , on April 14, 2010 by rndmodelshop

Usually these sculpture pieces are shipping out as quickly as we can make them so it’s not often we get a build up of so many all at once. This made a good group picture for scale. It’s hard to keep at least one of everything here since there are so many different pieces and combinations of pieces. Add in all of the combinations of wood stains and sizes and there are just too many!

When I don’t have a current order I work on new versions, truncations, or duals and various combinations of two or more. It’s really all about the table saw miter and getting all 3 axis angles dead on, then making it repeatable a week, month or a year later without having to re-invent the wheel every time!

Wood Truncated Cube Sculpture (woven)

Posted in 1, geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , , on April 14, 2010 by rndmodelshop

This is a great Mid Century Modern ‘Atomic Age’ decor piece I made of wood. It has 2 different looks depending on which surface you set it on. It could also be converted into a MCM style hanging lamp.

This is a truncated cube, meaning the 8 cube corners have been ‘clipped off’ leaving 8 triangle surfaces as well as the 6 square surfaces. There are 12 woven rectangle beveled ‘picture frames’ that go all the way around, 4 on each of the 3 axis, 48 pieces of wood all together. I compound miter every glue joint so that its a clean tight seam.

This particular one is 9″ tall which is a good size as a table top art piece. I clear coat the ones in the pics to see the cross shadows easier, but I also wood stain either cherry wood, dark walnut or ebony.

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.