數學圖形(1.15) 水滴線

水滴線的輪廓像一顆小水滴.

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vertices = 1000

t = from 0 to (2*PI)

a = 10
b = rand2(0.1, 10)

x = a*cos(t)*cos(t)
y = a*a*(cos(t)^3)*sin(t) / b

另一種寫法:

vertices = 1000

u = from 0 to (2*PI)

a = 10
b = rand2(0.1, 10)

x = a/2*(1 + cos(u))
y = a*a/8*(sin(2*u) + 2*sin(u))/b

還有一種曲線名為Larme,也是水滴的樣子:

#http://www.mathcurve.com/courbes2d/larme/larme.shtml
vertices = 1000
t = from 0 to (2*PI)
n = rand2(1, 10)
x = 10*cos(t)
y = 10*sin(t)*pow(sin(t/2), n)

水滴面:

vertices = D1:1000 D2:100

u = from 0.01 to (2*PI - 0.01) D1
v = from 0.01 to 32 D2

a = 10

y = a*cos(u)*cos(u)
x = a*a*(cos(u)^3)*sin(u) / b

larme面:

vertices = D1:1000 D2:100

u = from 0.01 to (2*PI - 0.01) D1
v = from 0.01 to 32 D2

y = 10*cos(u)
x = 10*sin(u)*pow(sin(u/2), v)

再補充一種曲線梨線

pear

#http://www.2dcurves.com/quartic/quarticp.html#pearshapedcurve

vertices = 1000

t = from 0 to (2*PI)

y = -1 - sin(t)
x = 0.5*(1 + sin(t))*cos(t)