Saddle Surface of mathematical graphics

Source: Internet
Author: User

In this section, we will show several Saddle Surface images, or similar figures like the saddle surface, such as the saddle surface, the monkey saddle surface, and the dog Saddle Surface. it is a bit strange that the saddle surface is a curved surface where people ride on the horse, while the monkey saddle surface is a curved surface for monkeys to ride, and the dog saddle surface is a curved surface for dogs to ride. in addition, this section provides curved surfaces such as SOFA and bench.

Use the script code of the custom syntax to generate a Saddle Surface image. For more information about the software, see mathematical graphics visualization tool. This software is free and open source. QQ chat group: 367752815

(1) Saddle Surface

I have previously published an article on hyperbolic parabolic. For details, see the hyperbolic parabolic field in mathematical graphics.

vertices = dimension1:320 dimension2:320a =0.7x = from (-a) to (a) dimension1z = from (-a) to (a) dimension2y = x*x - z*zs = 10x = s*xy = s*yz = s*z

(2) Monkey saddle

# Monkey (monkey Saddle) is a saddle surface tailored by mathematicians for monkeys. vertices = dimension1: 320 dimension2: 320a = 1X = from (-A) to () dimension1z = from (-A) to (a) dimension2y = x * (x * X-3 * z)

(3) Dog Saddle Surface

# Renewal. This is a four-time surface. Vertices = dimension1: 320 dimension2: 320x = from (-2) to (2) dimension1z = from (-2) to (2) dimension2y = x * (Z ^ 3) -z * (x ^ 3)

(4) shoe Surface

#http://mathworld.wolfram.com/MennsSurface.htmlvertices = D1:100 D2:100u = from -4 to 4 D1v = from -4 to 4 D2a = 0.1x = uz = vy = pow(u, 3)/3 - v*v/2

(5) quartoid (bench)

#http://mathworld.wolfram.com/Quartoid.htmlvertices = D1:100 D2:100u = from -10 to 10 D1v = from -10 to 10 D2x = uz = vy = 40 - pow(u*u + v*v, 2)*0.001

(6) peninsula surface (SOFA)

#http://mathworld.wolfram.com/PeninsulaSurface.htmlvertices = D1:100 D2:100u = from -2 to 2 D1v = from -2 to 2 D2a = 0.1x = uz = vy = pow_sign(1 - u*u - pow(v, 5), 1/3)

(7) Peano Surface

#http://mathworld.wolfram.com/PeanoSurface.htmlvertices = D1:100 D2:100u = from -10 to 10 D1v = from -10 to 10 D2x = uz = vy = (2*u*u - v)*(v - u*u) * 0.001

(8) menn's surface

#http://mathworld.wolfram.com/MennsSurface.htmlvertices = D1:100 D2:100u = from -10 to 10 D1v = from -20 to 20 D2a = 0.1x = uz = vy = a*pow(u, 4) + u*u*v - v*vy = y/100

(9) handkerchief Surface

#http://mathworld.wolfram.com/HandkerchiefSurface.htmlvertices = D1:100 D2:100u = from -4 to 4 D1v = from -4 to 4 D2a = 0.1x = uz = vy = pow(u, 3)/3 + u*v*v + 2*(u*u - v*v)y = y*0.1

 

Saddle Surface of mathematical graphics

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