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17:
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Meinhard
Wohlgemuth, Nataliya Yufa, James Hoffman, and Edwin L. Thomas. Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries. Macromolecules, 2001, 34 (17), pp 6083–6089
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S. T. Hyde, Interfacial architecture in surfactant-water mixtures: Beyond spheres, cylinders and planes. Pure and
Applied Chemistry, vol. 64, no. 11, pp. 1617–1622, 1992
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9, dividing space into two infinite non-equivalent labyrinths. Like many other triply periodic minimal surfaces it has been studied in relation to the microstructure of
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Eric A. Lord, and Alan L. Mackay, Periodic minimal surfaces of cubic symmetry, Current science, vol. 85, no. 3, 10 August 2003
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213:. It can be extended with further handles, converging towards the expanded regular octahedron (in Schoen's categorisation)
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E. R. Neovius, "Bestimmung zweier spezieller periodischer
Minimalflächen", Akad. Abhandlungen, Helsingfors, 1883.
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AL Mackay, Flexicrystallography: curved surfaces in chemical structures, Current
Science, 69:2 25 July 1995
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originally discovered by
Finnish mathematician Edvard Rudolf Neovius (the uncle of
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categorisation it is called the C(P) surface, since it is the "complement" of the
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http://www.susqu.edu/brakke/evolver/examples/periodic/cpfamily.html
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Ken Brakke, C-P Family of Triply
Periodic Minimal Surfaces,
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Alan H. Schoen, Triply
Periodic Minimal Surfaces (TPMS),
58:-water mixtures, and crystallography of soft materials.
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http://resolver.sub.uni-goettingen.de/purl?PPN591417707
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195:{\displaystyle 3+4\cos(x)\cos(y)\cos(z)=0}
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20:Neovius' minimal surface in a unit cell.
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279:http://schoengeometry.com/e-tpms.html
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61:It can be approximated with the
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464:Differential geometry
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26:differential geometry
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211:Schwarz P surface
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469:Minimal surfaces
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361:Chen–Gackstatter
341:Associate family
330:Minimal surfaces
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46:The surface has
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41:Rolf Nevanlinna
37:minimal surface
34:triply periodic
30:Neovius surface
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458:Categories
217:References
56:surfactant
414:Riemann's
386:Henneberg
351:Catalan's
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63:level set
409:Richmond
399:Lidinoid
381:Helicoid
356:Catenoid
207:Schoen's
65:surface
429:Schwarz
404:Neovius
371:Enneper
366:Costa's
424:Scherk
376:Gyroid
346:Bour's
28:, the
394:-noid
48:genus
32:is a
205:In
172:cos
157:cos
142:cos
118:cos
100:cos
82:cos
43:).
24:In
460::
54:,
392:k
322:e
315:t
308:v
190:0
187:=
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181:z
178:(
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166:y
163:(
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151:x
148:(
139:4
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127:z
124:(
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109:y
106:(
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91:x
88:(
79:[
76:3
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