Conch and shells in mathematical graphics

The previous section describes spiral tubes and conch tubes. likewise, shells have a spiral. this section provides several algorithms for generating conch and shells. when it comes to conch, it reminds me that my university is on the beach. When I leave the east campus, it is the sea, and even the school dormitory is a sea view room. I also like conch and shells. After all, their meat is delicious.

For related software, see: Mathematical graphics visualization tool. Use script code with custom syntax to generate mathematical graphics.

(1) conchoid)

vertices = dimension1:160 dimension2:160u = from 0 to (6*PI) dimension1v = from 0 to (2*PI) dimension2k = 1.2a = 1.5w = (k^u) * (1+cos(v))x = w*cos(u)y = w*sin(u)z = (k^u)*sin(v) - (k^u)*a

(2) Sea-shell

vertices = dimension1:1000 dimension2:72u = from 0 to (20*PI) dimension1v = from 0 to (2*PI) dimension2m = -0.09k = 3a = 1b = 1e = pow(E, m*u)w = (a + b*cos(v))*ex = w*cos(u)z = w*sin(u)y = (k*a + b*sin(v))*e

(3) Sea-shell (random)

A random number is used in the script.

vertices = dimension1:1000 dimension2:72u = from 0 to (32*PI) dimension1v = from 0 to (2*PI) dimension2m = -1/(rand_int2(2, 100))k = rand2(1, 100)a = 1b = rand2(0.5, 2)e = pow(E, m*u)w = (a + b*cos(v))*ex = w*cos(u)z = w*sin(u)y = (k*a + b*sin(v))*e

(4) angle screw

This is a script that I wrote at will during my own test. The name of the slot is also random.

vertices = dimension1:36 dimension2:72a = from 0 to (2*PI) dimension1b = from (-PI*0.5) to (PI*0.5) dimension2r = 10.0x = r*cos(b)*sin(a)y = r*sin(b)*sqrt(a)z = r*cos(b)*cos(a)u = av = b*2

(5) parrot

vertices = D1:720 D2:72p = from 0 to (3*PI) D1q = from 0 to PI D2r = 1.2^p * sin(q) * 5x = r * sin(q) * sin(p)y = r * sin(q) * cos(p)z = r * cos(q)u = pv = q*3

(6) Shell 1

vertices = dimension1:100 dimension2:100u = from 0 to (2*PI) dimension1v = from 0 to (PI) dimension2r = sin(v)*pow(E, -u)x = r*sin(v)*sin(u)y = r*cos(v)z = r*sin(v)*cos(u)

(7) Shell 2

vertices = dimension1:100 dimension2:100u = from 0 to (PI*2) dimension1v = from 0 to (PI) dimension2r = sin(v)*sin(v)*pow(E, -u)x = r*sin(v)*sin(u)y = r*cos(v)z = r*sin(v)*cos(u)