Neovius surface

 
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nextstep
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PostPosted: Sun Oct 19, 2014 3:02 am    Post subject: Neovius surface Reply with quote

Hi all,
The Neovius surface is a triply periodic minimal surface originally discovered by Finnish mathematician Edvard Rudolf Neovius(1851-1917). The surface has genus 9, dividing space into two infinite non-equivalent labyrinths.
In Schoen's categorisation it is called the C(P) surface, since it is the "complement" of the Schwarz P surface. It can be extended with further handles, converging towards the expanded regular octahedron (in Schoen's categorisation)
MathMod script:
Code:
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"Name": [
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"Component": [
"Neovius"
],
"Fxyz": [
"3*(cos(x) + cos(y) + cos(z)) + 4* cos(x) * cos(y) * cos(z)"
],
"Xmax": [
" 3"
],
"Xmin": [
"-3"
],
"Ymax": [
" 3"
],
"Ymin": [
"-3"
],
"Zmax": [
" 3"
],
"Zmin": [
"-3"
]
}
}

Neovius by taha_ab, on Flickr
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Abderrahman
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