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phantomcranefly

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Project Status Update [Dec. 1st, 2011|05:00 pm]
phantomcranefly
[Tags|]
[Current Location |Engineering building]
[mood |accomplished]

So, this entry is just for notes to myself, so that I have someplace to keep track of what I've done on my DCG final without having to a) have the right notebook with me or b) log into something distracting. (Although I'll still need to log in when I want to change it, but this is good enough.)

Archimedean Solids:

1. Truncated Tetrahedron
2. Cuboctahedron
3. Truncated Cube
4. Truncated Octahedron
5. (Small) Rhombicuboctahedron
6. Truncated Cuboctahedron (Great Rhombicuboctahedron)
7. Snub Cube
8. Icosidodecahedron
9. Truncated Dodecahedron
10. Truncated Icosahedron
11. (Small) Rhombicosidodecahedron
12. Truncated Icosidodecahedron (Great Rhombicosidodecahedron)
13. Snub Dodecahedron

Animations I have:

1. Cube -> Truncated Cube -> Cuboctahedron (-> Truncated Octahedron -> Octahedron as last resort)
2. Finished as of 12/3: Octahedron -> Truncated Octahedron -> Cuboctahedron (ordering of vertices is wrong)
3. Cube -> Rhombicuboctahedron
4. Rhombicuboctahedron -> Octahedron
5. Tetrahedron -> Truncated Tetrahedron -> Octahedron (-> Truncated Tetrahedron -> Tetrahedron as last resort)
6. Dodecahedron -> Truncated Dodecahedron -> Icosidodecahedron (cannot continue with this, too many corners)
As of 12/7: 7. Icosahedron -> Truncated Icosahedron -> Icosidodecahedron
As of 12/14: 8. Dodecahedron -> Rhombicosidodecahedron
9. Icosahedron -> Rhombicosidodecahedron
10. Tetrahedron -> Cuboctahedron
As of 12/20: 11. Truncated Cube -> Truncated Cuboctahedron
12. Truncated Octahedron -> Truncated Cuboctahedron
13. Truncated Dodecahedron -> Truncated Icosidodecahedron
14. Truncated Icosahedron -> Truncated Icosidodecahedron
15. Truncated Tetrahedron -> Truncated Octahedron

Animations I need:

(0. Octahedron -> Truncated Tetrahedron -> Tetrahedron
Not really necessary, but since the tetrahedron is its own dual, it would be cool to do. Leave this for last.)

1. Octahedron -> Truncated Octahedron -> Cuboctahedron Finished as of 12/3
2. Icosahedron -> Truncated Icosahedron -> Icosidodecahedron
Ordering the vertices. Once I've fixed that, it should be fine.
Finished as of 12/7

3. Dodecahedron -> Rhombicosidodecahedron
4. Rhombicosidodecahedron -> Icosahedron
Oh god pentagons. Need to figure out a way to do this transformation by code, because there is no way I'm working out all those angles by hand.
Finished as of 12/14

5. Truncated Cube (???) -> Truncated Cuboctahedron
Theory should be the same as the rhombicuboctahedron, but again, I don't really want to do this by hand. Also, I'm pretty sure there ought to be transformations that I'm not seeing- possibly truncation, but apparently it needs to be distorted afterwards?
Finished as of 12/20

6. Truncated Dodecahedron (???) -> Truncated Icosidodecahedron
Same deal as the truncated cuboctahedron, with the addition of oh god pentagons.
Finished as of 12/20

7. Snub Cube and Snub Dodecahedron
...what is this I don't even. Rotations? Deletion of vertices? Where are all the triangles coming from?
12/8: Misread wikipedia and made something that was almost a snub cube but not quite. Still, I think I understand it better now.
12/20: Found website with information I need, but professor suggests leaving off these two. Will do them last, after website is finished.

To Do List:
1. Fix ordering of vertices.
2. Make animations for octahedron -> cuboctahedron and icosahedron -> icosidodecahedron.

3. Figure out code for rhombicosidodecahedron, practicing on rhombicuboctahedron probably.
4. Figure out what's going on with remaining animations.
5. Figure out how to export Mathematica animations as gifs. Apparently harder than I expected but doable.
6. Figure out how to connect gifs or animations together. (Possibly swapped with 5, will find out when I try them.) I understand the theory, but this is dead last, even after snub polyhedra.
Added 12/8 7. Make animation for tetrahedron -> cuboctahedron, optional Completed

New To Do List:
1. Clean up code.
2. Make website.
3. Export animations.
4. Animate snub polyhedra.

linkReply

Comments:
[User Picture]From: 3rdragon
2011-12-02 06:36 am (UTC)
Is this something that people in Zambia will be able to see when you're done with it? Because it sounds awesome.
(Reply) (Thread)
[User Picture]From: phantomcranefly
2011-12-02 02:35 pm (UTC)
Assuming I can figure out how to put the animations in gif form, yes, definitely- part of the final project is making a webpage, so I can post the link here or on facebook or somewhere for you.

(You can already see an animation that someone else did here: http://en.wikipedia.org/wiki/Expansion_%28geometry%29 of a dodecahedron -> rhombicosidodecahedron -> icosahedron.)
(Reply) (Parent) (Thread)
[User Picture]From: phantomcranefly
2011-12-22 06:35 am (UTC)
And it's live! http://maven.smith.edu/~274a-aa/solids.html

I didn't end up making animations for the snub cube and snub dodecahedron after all, and the text is kind of wonky, but it's up. Bibliography to follow in the morning.
(Reply) (Parent) (Thread)
[User Picture]From: 3rdragon
2011-12-22 01:09 pm (UTC)
Ooh, very nice!

(One piece of concrit, if you want it: the animations would be easier to follow if you paused them at the final stage of truncation or expansion, just for a bit.)

I should show my mother. One of her work-study jobs in college was making cardstock models of Archimedean and Platonic solids. (Spellcheck, Archimedean is totally a word. Please shut up.)
(Reply) (Parent) (Thread)
[User Picture]From: phantomcranefly
2011-12-22 03:58 pm (UTC)
Thanks!

Yeah, good point- if I continue working on this over Jterm, I'm definitely doing that first thing. I bet I can figure out how. :) Does it load all right for you? Smith's internet is so fast that I'm not sure how many animations/page is too many.



(Reply) (Parent) (Thread)
[User Picture]From: 3rdragon
2011-12-22 04:00 pm (UTC)
I think it should be fine. We're on Christmas break so my connection is better than usual, but we still have pretty slow internet over here, and I didn't notice any weirdness loading.
(Reply) (Parent) (Thread)