nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539
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Posted: Thu Nov 20, 2014 3:11 am Post subject: Catalan surface: |
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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"
]
}
} |
_________________ Cheers,
Abderrahman |
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