## Progress

26 10 2008

I’m working toward producing a set of vectors for the joints between the tori. I just need to calculate where the these line segments intersect: UPDATE:

this approach is proving difficult to actually accomplish in code, mine or others.

## Obstacle

23 10 2008

Our unit dodecahedron does not lineup with out unit icosahedron: dodecahedron:
(±1, ±1, ±1)
(0, ±1/φ, ±φ)
(±1/φ, ±φ, 0)
(±φ, 0, ±1/φ)

icosahedron:
(0, ±1, ±φ)
(±1, ±φ, 0)
(±φ, 0, ±1)

We need to scale and rotate the dodecahedron, not sure of the specifics.

## Logo

23 10 2008

I think these are beautiful shapes that may make for good logos (with some framing of course!):

## First Success

21 10 2008

Check this out. A truncated dodecahedral Polywell rendered in CAD. I created this using ruby to pass draw instructions to mged (the main command line tool for BRL-CAD):
``` require 'matrix' phi = (1+Math.sqrt(5))/2 icosahedron = Matrix[ [0, +1, +phi], [0, +1, -phi], [0, -1, +phi], [0, -1, -phi], [+1, +phi, 0], [+1, -phi, 0], [-1, +phi, 0], [-1, -phi, 0], [+phi, 0, +1], [+phi, 0, -1], [-phi, 0, +1], [-phi, 0, -1] ]```

` `

```icosahedron.row_vectors().each_with_index do |v,index| `/usr/brlcad/bin/mged -f -c test3.g 'in torus#{index}.s tor #{v} #{v} #{v} #{v} #{v} #{v} 1.0 0.125'` end ```

This basically iterates through the vertices of the icosahedron, and draws a torus normal to the origin. Now we are tantalizingly close to having a CAD file we can render in metal.

## The Core

20 10 2008

The Polywell reactor has a core. This is the core of WB6 from EMC2:

This is what it looks like opened up:

So lets start by modeling the shape of the core. To make it more interesting, we’ll use the truncated dodecahedron. Supposedly the truncated dodecahedron has advantages over the truncated cube:

This is a simple dodecahedron:

To find the midpoint of the dodecahedron’s planes, we can use the Icosahedron:

So now we can generate a torus at each of the vertices of the Icosahedron, orthogonal to the line connecting the vertices to the origin. But first lets take a look at some of the tool and technologies we might use.