nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539
|
Posted: Sun Oct 19, 2014 3:00 am Post subject: Scherk's second surface |
|
|
Hi,
Scherk's second surface (named after Heinrich Scherk 1798 – 1885) looks globally like two orthogonal planes whose intersection consists of a sequence of tunnels in alternating directions. Its intersections with horizontal planes consists of alternating hyperbolas.
The surface has been generalised by H. Karcher into the saddle tower family of periodic minimal surfaces.
MathMod script:
Code: | {
"Iso3D": {
"Name": [
"Scherk"
],
"Component": [
"Scherk"
],
"Fxyz": [
"sinh(x)*sinh(y) - sin(z)"
],
"Xmax": [
" 3"
],
"Xmin": [
"-3 "
],
"Ymax": [
" 3"
],
"Ymin": [
"-3 "
],
"Zmax": [
" 5*pi/2"
],
"Zmin": [
"-5*pi/2 "
]
}
} |
Kummer by taha_ab, on Flickr _________________ Cheers,
Abderrahman |
|