/usr/share/axiom-20170501/input/tknot.input is in axiom-test 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | --Copyright The Numerical Algorithms Group Limited 1994.
-- Create a (p,q) torus-knot with radius r around the curve.
-- The formula was derived by Larry Lambe.
-- To produce a trefoil knot:
-- torusKnot(2, 3, 0.5, 10, 200)
-- compile, don't interpret functions
)set function compile on
-- read in the numeric generalized tube program
)read ntube
-- Create a (p,q) torus-knot with radius r around the curve.
-- The formula was derived by Larry Lambe.
-- To produce a trefoil knot:
-- torusKnot(2, 3, 0.5)
torusKnot(p:DFLOAT, q:DFLOAT, r:DFLOAT, uSteps:PI, tSteps:PI):VIEW3D ==
-- equation for the torus knot
knot := (t:DFLOAT):Point DFLOAT +->
fac := 4/(2.2@DFLOAT-sin(q*t))
fac * point [cos(p*t), sin(p*t), cos(q*t)]
-- equation for the cross section of the tube
circle := (u:DFLOAT, t:DFLOAT):Point DFLOAT +->
r * point [cos u, sin u]
-- draw the tube around the knot
ntubeDrawOpt(knot, circle, 0..2*%pi, 0..2*%pi, var1Steps == uSteps,
var2Steps == tSteps)
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