In last weeks post, we saw how the motion of particles that move along straight lines creates the illusion of a spinning circle. This time we actually let the individual particles move in circular paths and observe various patterns that result when the relative phase of each particle is varied. Here, “phase” just means where along the circular path a certain particle is when compared to the others.

In the first animation, each of the particles arrive at the edge of the black circle at the same time to create the effect of a spinning and contracting/expanding circle.

In the second animation, the particles are phased just right to create the illusion of a circle that slides along the edge of the black circle. This is similar to the Tusi motion from the previous post except in this instance the circle doesn’t spin.

In the third animation, the phases are adjusted to make it seem like the particles move along a straight line that spins around, but really each particle is still only moving along a circular path. This is a somewhat opposite effect from the Tusi motion where the particles were always moving along straight lines.

Inspired by the not-Tusi-couple.

Mathematica code:


Manipulate[
Graphics[
{{Black,
Disk[{0, 0}, 1.05]},
Table[
Rotate[
{White, Opacity[o],
Circle[{.525, 0}, .525]},
n*2 Pi/m, {0, 0}],
{n, 1, m, 1}],
Table[
Rotate[
{White,
Disk[
.525 {1 + Cos[-2 Pi (p*n/m + t)], Sin[-2 Pi (p*n/m + t)]}, .02]},
n*2 Pi/m, {0, 0}],
{n, 1, m, 1}]},
PlotRange -> 1.1, ImageSize -> 500],
{{m, 8, "circles"}, 1, 20, 1},
{{o, .5, "path opacity"}, 1, 0},
{{p, 0, "phase"}, 0, 2, 1},
{t, 0, 1}]
 
  1. wellanov reblogged this from intothecontinuum
  2. ethereal-artistry reblogged this from arcgabriel
  3. milmilhassobaluz reblogged this from intothecontinuum
  4. lil-missrockerchick reblogged this from oceanz-of-motionz
  5. walmartcats reblogged this from solfeggeo
  6. solfeggeo reblogged this from oceanz-of-motionz
  7. touchinginfinity reblogged this from oceanz-of-motionz
  8. wonderland-is-a-tab-away reblogged this from oceanz-of-motionz
  9. oceanz-of-motionz reblogged this from shp0ngle
  10. lordofthesassbox reblogged this from joedee
  11. blitzwo1f reblogged this from sparkwolf
  12. cognitive-faux reblogged this from sparkwolf
  13. sparkwolf reblogged this from thegreensanitarium
  14. dj-phr0 reblogged this from oscillatorz
  15. hellodarcygarzon reblogged this from thegreensanitarium
  16. bwb13 reblogged this from thegreensanitarium
  17. thegreensanitarium reblogged this from rokkakudaiheights
  18. darkfantasycity reblogged this from mathforlovers
  19. clazzjassicalrockhop reblogged this from intothecontinuum
  20. moxx-sp reblogged this from eotiglimath
  21. jacksshinythings reblogged this from intothecontinuum and added:
    In the first animation, each of the particles arrive at the edge of the black circle at the same time to create the...
  22. nyctophilia-93 reblogged this from intothecontinuum
  23. lostisall reblogged this from divinebonghit
  24. divinebonghit reblogged this from michelleballs
  25. michelleballs reblogged this from intothecontinuum
  26. lunaticlupine reblogged this from monster-hunter-zizzle