Knot type
Trefoil
T(2,3) · 3 crossings · simplest
Cinquefoil
T(2,5) · 5 crossings
T(2,7)
7 crossings · deep helix
T(3,4)
8 crossings · 8₁₉ knot
T(3,5)
10 crossings
T(4,5)
12 crossings · dense weave
T(3,7)
18 crossings · complex
T(5,6)
20 crossings · intricate
p — longitude
2
q — meridian
3
Speed
▶ Slow
▶▶ Med
▶▶▶ Fast
Color
Purple
Spectrum
Depth
View
◎ Torus
↻ Auto
p =
2
q =
3
Trefoil
3 crossings · knot
(R+r cos qt)cos pt
Torus knot T(p,q) · winds p×q
Drag
— rotate freely
p, q sliders
— knot type
gcd(p,q)=1
— proper knot
Depth
— 3D hue by z‑depth