Archive for math

“Truncated Dodecahedron” Wood Model

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

Truncated Dodecahedron all wood model.

The Truncated Dodecahedron is one of the 13 Archimedean Solids.  It has 12 decagons, 20  triangles, 60 vertices and 90 pieces of wood. Each piece is mitered so that they lay on an imaginary plane that passes through the center point.

This was a popular geometric piece during the 1950s – 60s Atomic Age, and was common to see as a hanging light fixture or a table top sculpture.

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.

“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.

“Borromean Rings” classroom model

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

The Borromean Rings are a classic math paradox. Not exactly a puzzle, (nothing actually comes apart), but as a model this is a nice tangable way to show students how the Borromean Rings are a type of ‘Gordian Knot’

Each of the 3 rings are closed circles and no 2 rings are actually linked together, yet as 3 rings they cannot come apart! If any one ring was broken, the other two would simply pull away from each other.

They lay down naturally in this kind of rosetta shape when you put them down, which is kinda cool. I make these 9″ or 12″ on the longest axis and very loose fitting. They are wood stained in cherry, walnut, and just clear coat polyurethane on the third to tell them apart (If you prefer all 3 rings the same as a decor piece, just ask).

For the complete polyhedron model 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.