192:#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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655:{{Information |Description={{en|1=Togliatti Surface with w=1, bounded by a sphere with radius=6}} |Source={{own}} |Author=
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Togliatti
Surface with w=1, bounded by a sphere with radius=6
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Creative
Commons Attribution-ShareAlike 3.0 Unported
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Commons is a freely licensed media file repository.
1013:Noether's theorem on rationality for surfaces
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873:Grauert–Riemenschneider vanishing theorem
1413:کاربر:Mojtabakd/جعبههای کاربری/wrapper
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1418:کاربر:Iran.amir.mohammad/درباره من
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758:Brieskorn–Grothendieck resolution
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788:Chevalley–Iwahori–Nagata theorem
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255:Under the following conditions:
226:This file is licensed under the
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1293:ویکیپدیا:الگوهای کاربر/ریاضیات
1023:Néron–Ogg–Shafarevich criterion
813:Differential algebraic geometry
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329:GNU Free Documentation License
318:GNU Free Documentation License
308:GNU Free Documentation License
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1473:အက္ခရာသင်္ချာနည်းကျ ဂျီဩမေတြီ
1438:Templat:Aljabar-geometri-stub
1053:Regular semi-algebraic system
584:original creation by uploader
1143:Universal algebraic geometry
374:Items portrayed in this file
1328:کاربر:جعبه کاربر/هندسه جبری
1229:Usage on ckb.wikipedia.org
1098:Tate's isogeny theorem
1048:Ramanujam vanishing theorem
938:Lamé's special quartic
773:Butterfly curve (algebraic)
189:. This is the source code:
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1424:Usage on id.wikipedia.org
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1259:Usage on el.wikipedia.org
1253:Eugenio Giuseppe Togliatti
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1239:Usage on cy.wikipedia.org
1214:Usage on ca.wikipedia.org
1204:Usage on ba.wikipedia.org
1194:Usage on ar.wikipedia.org
269:same or compatible license
1268:Συζήτηση χρήστη:Nafsika08
988:Mumford vanishing theorem
843:Fourier–Deligne transform
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1398:ریخت بین واریتههای جبری
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953:Locally acyclic morphism
863:Giambelli's formula
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738:Bombieri–Lang conjecture
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94:description page there
41:Size of this preview:
1058:Reider's theorem
1043:Plücker's conoid
918:Intermediate Jacobian
688:Abhyankar–Moh theorem
126:Togliatti surface.png
1278:Geometría algebraica
1243:Geometreg algebraidd
1218:Geometria algebraica
1138:Unibranch local ring
1028:Ordinary singularity
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1318:الگو:هندسه جبری-خرد
1263:Αλγεβρική γεωμετρία
1208:Алгебраик геометрия
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1148:Valuative criterion
1133:Tsen's theorem
1128:Tschirnhausen cubic
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868:Gram's theorem
848:Frobenius splitting
818:Du Bois singularity
808:De Franchis theorem
723:Barth–Nieto quintic
708:Alternating algebra
250:– to adapt the work
47:Other resolutions:
1443:Aljabar Calabi–Yau
1073:Serre–Tate theorem
973:Moishezon manifold
933:Kuga fiber variety
903:Hyperplane section
883:Honda–Tate theorem
853:Fröberg conjecture
703:Algebraic manifold
698:Algebraic geometry
633:09:15, 1 July 2010
436:Wikimedia username
423:author name string
1527:more global usage
1363:گروه تیت-شافارویچ
1223:Eugenio Togliatti
1186:Global file usage
1108:Togliatti surface
1088:Symmetric variety
963:Manin obstruction
878:Hodge–Tate module
763:Bullet-nose curve
728:Beauville surface
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515:copyright license
362:Togliatti Surface
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1168:Wirtinger sextic
998:Nakai conjecture
958:Logarithmic pair
923:Irrelevant ideal
858:General elephant
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1113:Torelli theorem
1008:Newton polytope
1003:Nash blowing-up
983:Mumford measure
913:Imaginary curve
898:Humbert surface
888:Horrocks bundle
793:Chordal variety
778:Cartan subgroup
768:Burniat surface
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683:Abelian surface
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1368:ارزیاب (جبر)
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1103:Tetrahedroid
1093:Tango bundle
948:Line complex
838:Fermat cubic
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753:Bracket ring
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102:You can help
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1408:بعد کودایرا
1373:میدان مانده
1343:هندسه حسابی
1333:ریخت متناهی
1298:پایه گروبنر
1198:هندسة جبرية
495:copyrighted
265:share alike
259:attribution
181:Source Code
124:Description
1288:هندسه جبری
1180:more links
1083:Steinerian
798:Cubic form
665:File usage
642:800 × 800
618:Dimensions
411:some value
162:Permission
27:File usage
1378:استک جبری
671:full list
615:Thumbnail
612:Date/Time
196:Licensing
173:cc-by-3.0
133:English:
68:image/png
1488:Wiskunde
1428:Geometri
1358:طیف حلقه
1303:خم بیضوی
1033:Osculant
783:Cayleyan
650:Rocchini
644:(163 KB)
443:Rocchini
355:Captions
248:to remix
242:to share
233:license.
146:Own work
629:current
624:Comment
396:creator
379:depicts
359:English
187:POV-Ray
116:Summary
64:
693:Acnode
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152:Author
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1393:لم چو
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621:User
335:true
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326:GFDL
290:true
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17:File
1463:幾何学
451:URL
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