n cusps
Cardioid n = 1
1 cusp · r = R · heart shape
Nephroid n = 2
2 cusps · kidney shape
Trefoil n = 3
3 cusps · 3-fold symmetry
n = 5
5 cusps · pentacycloid
n = 7
7 cusps · prime
n = 10
10 cusps · 10-fold star
n = 15
15 cusps · fine detail
n = 20
20 cusps · dense ring
Cusps n
5
Color
★ Accent
🌈 Orbit
❖ Per cusp
Speed
▶ Slow
▶▶ Normal
▶▶▶ Fast
⊙ Mechanism
Pen is ON the rim (d = r).
Cusps touch the fixed circle.
n-fold rotational symmetry.
Per-cusp: each cusp one hue.
n =
5
cusps =
5
k = r/R =
1/5
θ =
0.000
Presets
— choose cusp count
n slider
— morph 1 → 24
Per cusp
— one hue per cusp