TorusSquare

The torus as a square with its opposite edges glued, and the torus knot T(p, q) on it as a straight line of slope q/p; held inert and drawn as a diagram GraphicsBox.

TorusSquare(p, q)held inert; drawn as the glued square with T(p, q) on it, two dials counting the windings, and a point that travels on the page's clock

Typed signatures

Type	Package	Applies
(any*) -> any	formats	always

Domain: Graphics·Drawn as Graphics

Details

• Phase -> 0.32 pins the point to a phase in [0, 1); Clock -> False leaves it off the clock.
• Dials -> False drops the two circle factors beside the square.
• ColorFunction -> "set1" names the discrete scheme whose first two colors mark the two circles.
• It has no Wolfram counterpart: Wolfram draws a torus knot in space (KnotData), not on the glued square.

Examples

Basic #

held inert: it evaluates to itself, and is drawn as a diagram of boxes

live ↗

In$\mathrm{TorusSquare}(2, 3)$Out$\mathrm{TorusSquare}(2, 3)$

Options #

the point pinned to a phase, the dials dropped

live ↗

In$\mathrm{TorusSquare}(3, 2, (\mathrm{Phase},0.32), (\mathrm{Dials},\text{false}))$Out$\mathrm{TorusSquare}(3, 2, (\mathrm{Phase},0.32), (\mathrm{Dials},\text{false}))$

About

Examples	2