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Recreation Visual Arts Graphics and Visualization Wolfram Language

t * sin (t) ? Christmas tree - exploring a famous Reddit discussion

Posted 11 years ago

![enter image description here][1] I noticed that a [2] about programming a lighted Christmas Tree from a simple equation t*Snt became very popular on Reddit. It is connected to a [3] a programmer developed. I thought how fast we can make it with Wolfram language ? Here is the result with slight flickering ;-) Note a very special care needs to be paid to the dimming of the lights at a larger distances, and pretty shadowing. - Function f(t, f) is rescaling sampling rate of driving parameter t of parametric curve so points are distributed uniformly. f is basically phase shift. - Parameter PD is just average distance between points This .GIF file has 100 frames. Enjoy! PD = .5; s[t_, f_] := t^.6 - f; dt[cl_, ps_, sg_, hf_, dp_, f_] := {PointSize, Hue[cl, 1, .6 + sg .4 Sin[hf s[t, f]]], Point[{-sg s[t, f] Sin[s[t, f]], -sg s[t, f] Cos[s[t, f]], dp + s[t, f]}]}; frames = ParallelTable[ Graphics3D[Table[{dt[1, .01, -1, 1, 0, f], dt[.45, .01, 1, 1, 0, f], dt[1, .005, -1, 4, .2, f], dt[.45, .005, 1, 4, .2, f]}, {t, 0, 200, PD}], ViewPoint -> Left, BoxRatios -> {1, 1, 1.3}, ViewVertical -> {0, 0, -1}, ViewCenter -> {{0.5, 0.5, 0.5}, {0.5, 0.55}}, Boxed -> False, PlotRange -> {{-20, 20}, {-20, 20}, {0, 20}}, Background -> Black], {f, 0, 1, .01}]; Export["tree.gif", frames] [1]: https://community.wolfram.com/c/portal/getImageAttachment?filename=tree.gif&userId=11733 [2]: http://redd.it/1tswai [3]: https://github.com/anvaka/atree

POSTED BY: Vitaliy Kaurov

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Posted 5 years ago

Beautiful! Absolutely a damn good presentation and good work.

POSTED BY: Abhilash Sukumari

Posted 11 years ago

Great work! thanks for sharing!

POSTED BY: Max Sakharov

Posted 11 years ago

Silvia, this is absolutely stunning. To me it gives a perfect feel of reflective flickering.

POSTED BY: Vitaliy Kaurov

Posted 11 years ago

Beautiful tree! A festoon lamp ornamented one PD = .5; s[t_, f_] := t^.6 - f dt[cl_, ps_, sg_, hf_, dp_, f_, flag_] := Module[{sv, basePt}, {PointSize[ps], sv = s[t, f]; Hue[cl (1 + Sin[.02 t])/2, 1, .3 + sg .3 Sin[hf sv]], basePt = {-sg s[t, f] Sin[sv], -sg s[t, f] Cos[sv], dp + sv}; Point[basePt], If[flag, {Hue[cl (1 + Sin[.1 t])/2, 1, .6 + sg .4 Sin[hf sv]], PointSize[RandomReal[.01]], Point[basePt + 1/2 RotationTransform[20 sv, {-Cos[sv], Sin[sv], 0}][{Sin[sv], Cos[sv], 0}]]}, {}] }] frames = ParallelTable[ Graphics3D[Table[{ dt[1, .01, -1, 1, 0, f, True], dt[.45, .01, 1, 1, 0, f, True], dt[1, .005, -1, 4, .2, f, False], dt[.45, .005, 1, 4, .2, f, False]}, {t, 0, 200, PD}], ViewPoint -> Left, BoxRatios -> {1, 1, 1.3}, ViewVertical -> {0, 0, -1}, ViewCenter -> {{0.5, 0.5, 0.5}, {0.5, 0.55}}, Boxed -> False, PlotRange -> {{-20, 20}, {-20, 20}, {0, 20}}, Background -> Black], {f, 0, 1, .01}]; Export["tree.gif", frames]