数学图形(1.31) 圆环

若干种环圈的画法:

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biquartic

#http://www.mathcurve.com/courbes2d/biquartic/biquartic.shtml

vertices = 1000

t = from 0 to (2*PI)

r = 10



x = sin(3*t)*cos(t)

y = pow(sin(3*t)*sin(t), 2)

Cornoid

#http://www.mathcurve.com/courbes2d/cornoid/cornoid.shtml



vertices = 1000

t = from 0 to (2*PI)

r = 10



x = r*cos(t)*cos(2*t)

y = r*sin(t)*(2 + cos(2*t))

Dipole curve

#http://www.mathcurve.com/courbes2d/clairaut/clairaut.shtml

#(x^2 + y^2)^3 = (a^4)*(x^2)



vertices = 10000

t = from (-PI) to (PI)

r = 10



a = 10



p = a*sqrt(abs(cos(t)))



x = p*cos(t)

y = p*sin(t)

lemniscate

#http://www.mathcurve.com/courbes2d/lemniscate/lemniscate.shtml

vertices = 1000

t = from 0 to (2*PI)

r = 10

s = sin(t)

c = cos(t)

x = r*s/(1+c*c)

y = r*s*c/(1+c*c)

trisectrix

#http://www.mathcurve.com/courbes2d/trisectricedeceva/trisectricedeceva.shtml

vertices = 1000



t = from 0 to (2*PI)

a = 10



p = a*(1 + 2*cos(2*t))



x = p*cos(t)

y = p*sin(t)

 

#http://www.mathcurve.com/courbes2d/sextic/sexticrationnelle.shtml

vertices = 1000



t = from 0 to (2*PI)

a = 10



x = 2*sin(2*t)

y = cos(t) + cos(3*t)



x = x*a

y = y*a

#http://www.mathcurve.com/courbes2d/sextic/sexticrationnelle.shtml

vertices = 1000



t = from 0 to (2*PI)

a = 10



x = pow(cos(t), 3)/(2*pow(cos(t), 3) - 2*cos(t) + 1)

y = sin(2*t)*pow(sin(t/2), 2)/(2*pow(cos(t), 3) - 2*cos(t) + 1)



x = x*a

y = y*a