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.

Developing Clean, Cheap, Open Source Energy with the Bussard Reactor.

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.

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Categories : geometry, polywell

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.

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Categories : geometry, polywell

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[0]} #{v[1]} #{v[2]} #{v[0]} #{v[1]} #{v[2]} 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.

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Categories : CAD, FUCK YEA!, geometry, Math, polywell

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.

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Categories : geometry, polywell

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