Elliptical parabolic shape in mathematical graphics

The previous section is about the hyperbolic parabolic table. This section describes the elliptical parabolic table like this.

ParabolicIt is a type of quadratic surface. There are two types of parabolic axes:Elliptical parabolicAndHyperbolic Parabolic.

The equation of an elliptical parabolic dish in the Cartesian coordinate system is:

The equation of the hyperbolic parabolic table in the flute coordinate system is:

This article will show how to generateElliptical parabolicAlgorithm and cut graph. Use the script code of the custom syntax to generate mathematical graphics. for software, see: Mathematical graphics visualization tool. This software is free open source. QQ Communication Group: 367752815

(1) parameter equation

#http://www.mathcurve.com/surfaces/alysseid/alysseid.shtmlvertices = D1:100 D2:100v = from 0 to (PI*2) D1u = from 0 to 5 D2a = 2.0x = u*cos(v)y = 10 - pow(u, a)z = u*sin(v)

(2) General Equation

vertices = dimension1:101 dimension2:101x = from (-100) to (100) dimension1z = from (-100) to (100) dimension2y = (20000 - x^2 - z^2)*0.005u = x/10v = z/10

(3) elliptic

vertices = D1:100 D2:100u = from 0 to (2*PI) D1v = from 0 to 5 D2a = rand2(1, 10)b = rand2(1, 10)x = v*a*cos(u)y = v*v/2z = v*b*sin(u)

(4) An Elliptical parabolic dish generated by rotating the parabolic line around the central axis

vertices = D1:512 D2:100u = from 0 to 5 D1v = from 0 to (2*PI) D2a = rand2(-1, 1)x = u*cos(v)y = a*(u*u - 25)z = u*sin(v)v = v*2