Triply Periodic Level Surfaces_WP by Luc2
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Description
This is a rework of an old image
This image was presented last year in the German math exposition call IMAGINARY2008, here is the text joint to the image:
A TRIPLY-PERIODIC LEVEL SURFACES
The green-tinted surface pictured here has three orthogonal trans-
lational symmetries. It is the level-surface given by the trigonomet-
ric equation:
4*(cos x*cos y+cos y*cos z+cos z*cos x) - 3*cos x *cos y *cos z
= -2.4
A unit cell may be viewed as a central chamber with tubes to the
corners and faces of the cube. This surface closely approximates
the minimal PW Hybrid Surface discovered in 1880 by Karl Hermann
Amandus Schwartz (who was a Professor at Halle, Goettingen,
and Berlin). Recently it has been investigated by material scien-
tists, who use it and related surfaces to model so-called block-
copolymers. The original model was taken from David A. Hoff-
man. This was textured, placed in a scene that we feel adds to the
beauty of the object and rendered in Bryce.
Comments (6)
Fidelity2
It is a master-piece. 5+.
erlandpil
Very good image erland
Titia
Oh...I love your surfaces, your subtle lighteffects, the reflections!
tresamie
Astonishing! I trust this was well-received :)
FloydianSlip
That's awesome!! Love your work. :)
neoexcello
Fascinating and erudite.