Abstracts / Sketching topology

Hybycozo is a series of three fantastical golden polyhedrons. Made in laser cut steel, patterns create subtle rigid embroideries, reminding scientific drawings

Polyhedrons     Tesselations

Making the 5 platonic solids (tetrahedron, cube, octahedron, dodecahedron and icosahedron) from solid wood using miter saw / table saw. At 4:29 the angle is ...

Something you can use while your players are exploring through elf-haunted woods or werebear protected forests.

In my previous post on 2D & 3D Stellations we had seen that the Tetrahedron and Cube have no possibility of stellation, and that the Octahe...

“There is a theory which states that if ever anyone discovers exactly what the Universe is for and why it is here, it will instantly disappear and be replaced by something even more bizarre and inexplicable. There is another theory which states that this has already happened.” – Douglas Adams I guess we must have discovered it! Because for this year’s HYBYCOZO we are building something even more bizarre and sublime. Deep Thought, the centerpiece of this year’s construction zone, will take the form of a triambic icosahedron. A what?! A shape made of 60 gold filigree panels which will cast colorful shadows far and wide onto the playa. Within Deep Thought, a place for contemplation about life, the universe and everything, is where you will find yourself completely immersed in an interwoven patterns of geometry and light. On the outside, forming an arc, other golden polyhedrons will be placed to create a grounds for a mesmerizing cosmic zoo, community zone, and a collective zooooooom.

You may or may not have enjoyed learning geometry, but now is the time to cast aside your emotions, and delve into this stunning project! Don't panic when you see the diagrams, it's really quite simple, and once you get...

I'm a programmer looking to create a 3D model of a Floret Tessellation of a sphere, like the one in this picture Class III 8,11 floret planar net (source) If anyone could point me in the right

This has the twelve regular pentagons and twenty regular hexagons of a truncated icosahedron (most familiar to the world as the shape upon which most soccer balls are based), but also has pairs of trapezoids in "bowtie" configurations. I discovered this polyhedron using Stella 4d, which you can try for free at www.software3d.com/stella.php.

All of these polyhedral images were created with Stella 4d, software you may try for free at http://www.software3d.com/Stella.php.

To begin this, I used Stella 4d (available here) to create a zonish polyhedron from the icosahedron, by adding zones along the x-, y-, and z-axes. The result has less symmetry than the original, but it is symmetry of a type I find particularly interesting. After making that figure, I began stellating it, and found…

20 ft dome

The Volume and Surface Area of Rectangular Prisms with Whole Numbers (A) Math Worksheet from the Measurement Worksheets Page at Math-Drills.com.

The 110 faces are: sixty irregular pentagons thirty elongated, irregular hexagons twenty hexagons which are equiangular, and nearly equilateral as well Created using Stella 4d, available at http://www.software3d.com/stella.php.

If one starts with a cuboctahedron, and then creates a zonish polyhedron from it, adding zones (based on the faces) to the faces which already exist, here is the result, below, produced by Stella 4d: Polyhedron Navigator (software you may buy or try at http://www.software3d.com/Stella.php): The hexagons here, in this second image, are visibly irregular.…

This is the rhombic dodecahedron, the dual of the Archimedean cuboctahedron. While the rhombic dodecahedron has 12 faces, there are many other polyhedra made entirely out of rhombi, and most of them have more than twelve faces. An example is the rhombic enneacontahedron, which has two face-types: sixty wide rhombi, and thirty narrow ones. It…

The 182 faces of this polyhedron are 12 regular pentagons, 20 equilateral triangles, 30 regular octagons, 60 rectangles, and 60 kites. I made this using Stella 4d, which you can find at www.software3d.com/Stella.php.

To begin this, I took an icosahedron, and made a zonish polyhedron with it, with the new faces based on the zones of the existing faces. Here's the result. Next, I started stellating the polyhedron above. At the sixth stellation, I found this. It's a true zonohedron, and the first polyhedron shown here is merely…