數學圖形之螺旋管

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(1)螺旋管

vertices = D1:720 D2:72u = from 0 to (10*PI) D1v = from 0 to (2*PI) D2a = 3x = (a + cos(v)) * cos(u)z = (a + cos(v)) * sin(u)y = sin(v) + u

(2)螺旋管隨機

vertices = D1:720 D2:72u = from 0 to (6*PI) D1v = from 0 to (2*PI) D2a = 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

(3)螺旋管(逐漸層細)

可以將螺旋管想象成一個圓圈曲線繞一軸旋轉+平移

vertices = D1:720 D2:72u = from 0 to 1 D1v = from 0 to (2*PI) D2a = 3b = 5x = (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 + PIu = u*10

(4)Circle 旋轉管

vertices = D1:100 D2:600u = from (0) to (2*PI) D1v = from 0 to (12*PI) D2r = 2m = rand2(r, r*10)n = r*cos(u) + my = r*sin(u) + vx = n*cos(v)z = n*sin(v)

(5)麻花曲面

vertices = D1:3600 D2:100u = from 0 to (PI*10) D1v = from 0 to (PI*2) D2a = 10b = rand2(5, 10)x = a*cos(u)*cos(v)z = a*sin(u)*cos(v)y = a*sin(v) + b*u