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数学图形之螺旋管

时间:2014-08-09 15:48:28      阅读:247      评论:0      收藏:0      [点我收藏+]

(1)螺旋管

vertices = D1:720 D2:72
u = from 0 to (10*PI) D1
v = from 0 to (2*PI) D2

a = 3

x = (a + cos(v)) * cos(u)
z = (a + cos(v)) * sin(u)
y = sin(v) + u

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(2)螺旋管随机

vertices = D1:720 D2:72
u = from 0 to (6*PI) D1
v = from 0 to (2*PI) D2

a = rand2(2, 5)
b = rand2(0.5, 1)
c = rand2(0.5, 2)

x = c * (a + b * cos(v)) * cos(u)
y = c * (a + b * cos(v)) * sin(u)
z = c * b * sin(v) + u * 2/PI - 6

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(3)螺旋管(逐渐变细)

可以将螺旋管想象成一个圆圈曲线绕一轴旋转+平移

vertices = D1:720 D2:72
u = from 0 to 1 D1
v = from 0 to (2*PI) D2

a = 3
b = 5

x = (1 - u)*(a + cos(v)) * cos(b*PI*u)
z = (1 - u)*(a + cos(v)) * sin(b*PI*u)
y = (1 - u)*sin(v) + a*u + PI

u = u*10

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(4)Circle 旋转管

vertices = D1:100 D2:600

u = from (0) to (2*PI) D1
v = from 0 to (12*PI) D2

r = 2
m = rand2(r, r*10)

n = r*cos(u) + m

y = r*sin(u) + v

x = n*cos(v)
z = n*sin(v)

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(5)麻花曲面

vertices = D1:3600 D2:100
u = from 0 to (PI*10) D1
v = from 0 to (PI*2) D2

a = 10
b = rand2(5, 10)

x = a*cos(u)*cos(v)
z = a*sin(u)*cos(v)
y = a*sin(v) + b*u

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数学图形之螺旋管

原文:http://www.cnblogs.com/iflewless/p/3901133.html

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