File:Togliatti_surface.png
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Summary
DescriptionTogliatti surface.png |
English: Togliatti Surface with w=1, bounded by a sphere with radius=6 |
Source | Own work |
Author | Claudio Rocchini |
Permission (Reusing this file) |
cc-by-3.0 |
Source Code
Many thanks to POV-Ray. This is the source code:
#include "colors.inc" #include "stdinc.inc" background { Blue } camera { location <0,-12,6> up z right x look_at <0,0,0> } light_source {<120,0,120> rgb <1.0, 1.0, 1.0>} light_source {<-120,-120,0> rgb <0.8, 1.0, 1.0>*0.5} #declare my_texture = texture { pigment { rgb <0.8,0.8,1> } finish { phong 0.5 phong_size 10 } } #declare w = 1; #declare T = function { 64*(x-w)*( pow(x,4) -4*pow(x,3)*w -10*x*x*y*y -4*x*x*w*w +16*x*pow(w,3) -20*x*y*y*w+ 5*pow(y,4) +16*pow(w,4) -20*y*y*w*w) -5*sqrt(5-sqrt(5))*(2*z-sqrt(5-sqrt(5))*w) * pow(4*(x*x+y*y-z*z)+(1+3*sqrt(5))*w*w,2) } isosurface { function { T(x,y,z) } threshold 0 accuracy 0.0001 max_gradient 2000000 open contained_by {sphere {<0,0,0>,6}} texture{ my_texture } }
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 09:15, 1 July 2010 | 800 × 800 (163 KB) | Rocchini | {{Information |Description={{en|1=Togliatti Surface with w=1, bounded by a sphere with radius=6}} |Source={{own}} |Author=Claudio Rocchini |Date= |Permission=cc-by-3.0 |other_versions= }} |
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- 3-fold
- Abelian surface
- Abhyankar–Moh theorem
- Acnode
- Algebraic geometry
- Algebraic manifold
- Alternating algebra
- Arithmetic and geometric Frobenius
- Barlow surface
- Barth–Nieto quintic
- Beauville surface
- Bogomolov conjecture
- Bombieri–Lang conjecture
- Bordiga surface
- Borel fixed-point theorem
- Bracket ring
- Brieskorn–Grothendieck resolution
- Bullet-nose curve
- Burniat surface
- Butterfly curve (algebraic)
- Cartan subgroup
- Cayleyan
- Chevalley–Iwahori–Nagata theorem
- Chordal variety
- Cubic form
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- De Franchis theorem
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- Kuga fiber variety
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- Lange's conjecture
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- Nakai conjecture
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- Ramanujam vanishing theorem
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- Semialgebraic space
- Serre–Tate theorem
- Shioda modular surface
- Steinerian
- Symmetric variety
- Tango bundle
- Tate's isogeny theorem
- Tetrahedroid
- Togliatti surface
- Torelli theorem
- Toric manifold
- Trident curve
- Tschirnhausen cubic
- Tsen's theorem
- Unibranch local ring
- Universal algebraic geometry
- Valuative criterion
- Virasoro conjecture
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