Catalan surface:

 
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nextstep
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Joined: 06 Jan 2007
Posts: 539

PostPosted: Thu Nov 20, 2014 3:11 am    Post subject: Catalan surface: Reply with quote

Hi all,
Catalan's minimal surface is a minimal surface originally studied by Eugène Charles Catalan in 1855.
It has the special property of being the minimal surface that contains a cycloid as a geodesic. It is also swept out by a family of parabolae.



#MathMod script:
Quote:
{
"Param3D": {
"Name": [
"Catalan"
],
"Component": [
"Catalan"
],
"Fx": [
"u-sin(u)*cosh(v)"
],
"Fy": [
"1-cos(u)*cosh(v)"
],
"Fz": [
"4*sin(1/2*u)*sinh(v/2)"
],

"Umax": [
"3*pi"
],
"Umin": [
"-pi"
],
"Vmax": [
"2"
],
"Vmin": [
"-2"
]
}
}

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Abderrahman
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