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©2007-2009 ~Pinto-Warrior
:iconpinto-warrior:

Artist's Comments

the lines of the spiral with lessend opacity...

same algorithm as Spiral


Rendered in Mathematica:
Graphics3D[{Opacity[.3], EdgeForm[None],
Flatten[Table[
Polygon /@ (Function[{X, Y,
Z}, {-z Z Sin[(\[Pi] z)/2] +
Cos[(\[Pi] z)/
2] (X z Cos[(\[Pi] z^2)/2] - Y z Sin[(\[Pi] z^2)/2]),
Cos[\[Pi] z] (Y z Cos[(\[Pi] z^2)/2] +
X z Sin[(\[Pi] z^2)/2]) -
Sin[\[Pi] z] (z Z Cos[(\[Pi] z)/2] +
Sin[(\[Pi] z)/
2] (X z Cos[(\[Pi] z^2)/2] -
Y z Sin[(\[Pi] z^2)/2])),
Sin[\[Pi] z] (Y z Cos[(\[Pi] z^2)/2] +
X z Sin[(\[Pi] z^2)/2]) +
Cos[\[Pi] z] (z Z Cos[(\[Pi] z)/2] +
Sin[(\[Pi] z)/
2] (X z Cos[(\[Pi] z^2)/2] -
Y z Sin[(\[Pi] z^2)/2]))}] @@@ ((2
Reverse /@ IntegerDigits[Range[0, 7], 2, 3] -
1)[[#]]) & /@ {{1, 2, 4, 3, 1}, {5, 6, 8, 7, 5}, {1,
5}, {2, 6}, {3, -2}, {4, -1}}), {z, .02, 1, 0.02}]]}]

Comments


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:iconblowtorchforce:
Ooh, reminds me of those Spirograph things I played with as a kid! This is really cool!

--
If I was the thunder, you would already be deaf.
-Cobalt 60
:iconpinto-warrior:
yeah... Spirographs rock.

These are spirograph-type constructions. The first one could be made with a spirograph with a huge variety of size gears and a hell of a lot of patience. The rest have properties that make them impossible to construct, but are very simillar to the first...

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Details

August 23, 2007
27.3 KB
27.3 KB
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