Sinesurface and zongzi Curved Surface in mathematical graphics

Sinesurface is a sine surface. this may be different from the sine curve you imagined. if the sine curve is rotated around the Y axis, the sine wave surface is obtained. this surface is somewhat similar to the Roman surface in the previous section. It is a self-shaped triangle, and it is a cube.

This article will show the generation algorithm and cut graph of sinesurface and zongzi curved surface, and generate mathematical graphics using script code with custom syntax. for related software, see: Mathematical graphics visualization tool. This software is free and open-source. QQ chat group: 367752815

This is a kind of surface found from http://mathworld.wolfram.com/sinesurface.html.

The parameter equations of the curved surface are as follows:

			(1)
			(2)
			(3)

It is a sextic surface with algebraic equation (sextic means "six times". At first I thought it was "sextic)

From its parameter equation formula, we can see why it is called a sine surface.

Script code:

#http://mathworld.wolfram.com/SineSurface.htmlvertices = D1:100 D2:100u = from 0 to (PI*2) D1v = from 0 to (PI*2) D2x = sin(u)y = sin(v)z = sin(u + v)a = 5x = x*ay = y*az = z*a

 

If you change the sine function in the script to the cosine function, the dumplings surface will be obtained.

The name of the Zizi curved surface is obtained by me because it is like a Zizi.

vertices = D1:100 D2:100u = from 0 to (PI*2) D1v = from 0 to (PI*2) D2x = cos(u)y = cos(v)z = cos(u + v)a = 5x = x*ay = y*az = z*a