Archive for sacred geometry

“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.

Wood Tetrahedron Model “self-dual”

Posted in geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , , , , , , , , on April 17, 2010 by rndmodelshop

All wood model of 2 Tetrahedrons woven together (aka Stella Octangula), one stained in cherry-wood the other left to a clear coat of polyurethane. These are great gift ideas for math teachers, engineers, students, plus those interested in “Atomic Age” 1950s interior design or Sacred Geometry. 

Most polyhedron have a dual, meaning they share or relate 1:1 with the number of vertices and / or planes. The tetrahedron (4 triangular surfaces, 4 vertices, 6 pieces each) is the only polyhedron that is its own self dual. This particular one I kept 2-tone for clarity, but I also make them in any one color. I have more versions on the website.

Wood Platonic Solids Models in the Physics Lab

Posted in 1, geometry, Geometry Models with tags , , , , , , , , , , , , , , , , , , on April 17, 2010 by rndmodelshop

Some of our wood Platonic Solids models in action. A friend looked all over the web for something like these for the classroom that would be much more durable and permanent than just card stock or construction paper. We found some color plastic ones, but not really what would look good in a university math lab, library or bookshelf.

Most things today are just computer generated line drawings, so there is something really cool about having a tangible geometric model to help show a concept. Like most other things, they are much easier to build in a batch then one at a time and that keeps them a lot more cost-effective.

Wood Cuboctahedron Model

Posted in 1, geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , , , , , , on April 15, 2010 by rndmodelshop

This is an all wood Cuboctahedron. It can be used as a classroom lecture model or a nice “Atomic Age” decor piece. There is a resurgence of Mid Century Modern “Jetsons” type of art pieces lately so these are pretty cool.

This is made of 6 squares, 8 triangles, 12 vertices and 24 pieces of wood. If you look closely, there are 4 true hexagon equators. Each of the vertices has full 3 axis compound miters. 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 Dodecahedron Sculpture (woven-1)

Posted in geometry, Geometry Models, mid century modern with tags , , , , , , , , , , , , , , , , , , , , , , , on April 13, 2010 by rndmodelshop

This dodecahedron is typical of the Atomic Age ‘Mid Century Modern’ design of the 1950s and 1960s. They were common as Googie light fixtures in 50s and 60s coffeeshops as well as a stand alone table sculpture.

This dodecahedron is made of 60 pieces of wood and it has 20 equilateral triangles woven around each vertex. I cut the notches just halfway thru the wood where 2 pieces intersect so they nest together nice and snug. This particular one is 9″ tall, but I also make them 12″ or larger by request.