Various raytraced knots

Click on an image below to see a larger version. One thing to note is how much better Escher's Knopen is than my pale imitation. His shading is very complex and subtle. At least my geometry is mostly correct.

Trefoil after Escher's Knopen
(1022x1022 pixel JPEG, 253 kilobytes)
Thing 1
(608x608 pixel JPEG, 49 kilobytes)

Knot 10₇₅ as a glowing chessboard
(900x675 pixel JPEG, 204 kilobytes)
Figure-8 knot as a glowing chessboard
(900x900 pixel JPEG, 184 kilobytes)

Multi-braid
(900x900 pixel JPEG, 169 kilobytes)
Complex random knot
(1500x1100 pixel JPEG, 322 kilobytes)

Knot 10₇₀ as rope
(900x900 pixel JPEG, 180 kilobytes)
"nosymbols" braid
(900x900 pixel JPEG, 227 kilobytes)

Trefoils linked in a trefoil
(900x900 pixel JPEG, 111 kilobytes)
Complex 12-component link
(900x900 pixel JPEG, 447 kilobytes)

In the above, the term "kilobyte" refers to the correct scientific meaning of the term, i.e., exactly 1,000 bytes.

Go to the KnotPlot Site.

Trefoil after Escher's Knopen (1022x1022 pixel JPEG, 253 kilobytes)	Thing 1 (608x608 pixel JPEG, 49 kilobytes)
Knot 10₇₅ as a glowing chessboard (900x675 pixel JPEG, 204 kilobytes)	Figure-8 knot as a glowing chessboard (900x900 pixel JPEG, 184 kilobytes)
Multi-braid (900x900 pixel JPEG, 169 kilobytes)	Complex random knot (1500x1100 pixel JPEG, 322 kilobytes)
Knot 10₇₀ as rope (900x900 pixel JPEG, 180 kilobytes)	"nosymbols" braid (900x900 pixel JPEG, 227 kilobytes)
Trefoils linked in a trefoil (900x900 pixel JPEG, 111 kilobytes)	Complex 12-component link (900x900 pixel JPEG, 447 kilobytes)