nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539
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Posted: Wed Sep 10, 2014 2:19 am Post subject: Henneberg's Minimal Surface (deg 15) |
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Hi all,
In differential geometry, the Henneberg surface is a non-orientable minimal surface named after Lebrecht Henneberg (1850-1933).
It's a minimal surface and double algebraic surface of 15th order and fifth class which can be given by parametric equations
x(u,v) = 2sinhucosv-2/3sinh(3u)cos(3v)
y(u,v) = 2sinhusinv+2/3sinh(3u)sin(3v)
z(u,v) = 2cosh(2u)cos(2v)
Up until 1981 it was the only known non-orientable minimal surface.
Code: | {
"Param3D": {
"Component": [
"Henneberg"
],
"Description": [
"Description of the model"
],
"Fx": [
"2*sinh(u)*cos(v)-(2/3)*sinh(3*u)*cos(3*v)"
],
"Fy": [
"2*sinh(u)*sin(v)+(2/3)*sinh(3*u)*sin(3*v)"
],
"Fz": [
"2*cosh(2*u)*cos(2*v)"
],
"Name": [
"Henneberg"
],
"Umax": [
"1"
],
"Umin": [
"-1"
],
"Vmax": [
"pi/2"
],
"Vmin": [
"-pi/2"
]
}
}
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Henneberg by taha_ab, on Flickr _________________ Cheers,
Abderrahman |
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