Cardioid Activities

talljerome, 06/ott/2019

A variety of constructions that somehow involve cardioids (and possibly other related shapes)


  • 1. Cardiod via chords of a circle
  • 2. Cardiod via osculating circles
  • 3. Cardiod via perpendiculars to tangent lines
  • 4. Cardiod (Epicycloid, Hypocycloid) via rolling coin
  • 5. Cardioid via polar curve equation
  • 6. Earth-Venus (or Earth-Saturn) epicycloid orbit patterns
  • 7. Cardioid constructions, various
  • 8. Mandelbrot Set

1.

Cardiod via chords of a circle

Slider "n" determines the number of points evenly distributed around a circle.[br]Slider "m" cycles through those points, drawing a cord originating from the nth point, labeled "A."[br]As point A increments one position at a time, slider "coeff" determines the number of positions that endpoint "B" jumps.[br]With a little playing around, it should become evident what any other sliders/toggles do.
– talljerome

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