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Algebraic Surfaces

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24 Jan 2008 15:41:44 IST

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24 Jan 2008 15:41:44 IST

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Algebraic Surfaces

Mathematics , Algebra

Calyx
x²+y²z³ = z⁴

Calypso
x²+y²z = z²

Columpius
x³y+xz³+y³z+z³+7z²+5z=0

Cube
x⁶+y⁶+z⁶=1

Dattel
3x²+3y²+z²=1

Daisy
(x² - y³)²=(z²-y²)³

Dingdong
x² +y² +z³ = z²

Distel
x²+y²+z²+1000 (x²+y²)(x²+z²)(y²+z²)=1

Durchblick
x³y+xz³+y³z+z³+5z = 0

Eistüte
(x²+y²)³ = 4x²y²(z²+1)

Eve
5x² + 2xz² + 5y⁶ + 15y⁴ + 5z² = 15y⁵ + 5y³

Flirt
x²-x³+y²+y⁴+z³-10z⁴=0

Geisha
x²yz + x²z² = y³z + y³

Harlekin
x³z + 10x²y + xy² + yz² = z³

Helix
6x² - 2x⁴ = y²z²

Herz
y²+z³-z⁴-x²z² = 0

Himmel und Hölle
x²-y²z²=0

Kolibri
x³ + x²z² - y²

Leopold
x²y²z²+3x²+3y²+z²=1

Octdong
x² + y² + z⁴ = z²

Plop
x² + (z+y²)³ = 0

Seepferdchen
(x²-y³)²=(x+y²)z³

Sofa
x²+y³+z⁵ = 0

Solitude
x²yz +xy²+y³+y³z=x²z²

Süss
(x²+9/4y²+z²-1)³ - x²z³-9/80y²z³=0

Tanz
x⁴-x²-y²z²=0

Taube
256z³-128x²z²+16x⁴z+144xy²z - 4x³y²-27y⁴ =0

Quaste

Spitz
(y³-x²-z²)³ = 27x²y³z²

Tobel
x³ z + x² + yz³ + z⁴ = 3xyz

Vis a vis
x²-x³+y²+y⁴+z³-z⁴=0

Wedeln
x³ = y (1-z²)²

Windkanal
- x² + y⁴ + z⁴ - xyz = 100

Xano
x⁴ +z³ = yz²

Zitrus
x²+z² = y³(y-1)³

Croissant

Dromedar
x⁴ - 3x² + y²+z³ = 0

Zeppelin
xyz+yz+2z⁵= 0

Zweiloch
xyz+yz+2z⁵= 0

Michelangelo
x²+y⁴+y³z²=0

Stern
x²y² + y²z² + x²z² + 100 ( x² + y² + z² - 1)³ = 0

Möbius

Sphäre
x² + y²+ z² = 1

Limao
x²-y³z³ = 0

Torus
(x²+y²+z²+R²-r²)² = R²(x²+y²)

Whitney
x²-y²z=0

Buggle
x⁴y²+y⁴x²-x²y²+z⁶=0

Zylinder
y² + z² = 1

Diabolo
x² = (y²+ z²)²

Dullo
(x²+y²+z²)²-(x²+y²) = 0

Miau
x²yz + x²z² + 2 y³z + 3 y³ = 0

Trichter
x² + z³ = y²z²

Nepali
(xy-z³-1)² + (x²+y²-1)³ = 0

Pilzchen
(z³ - 1)² + (x²+y²-1)³=0

Subway
x²y² = (z²-1)³

Polsterzipf
(x³-1)² + (y³-1)²+ (z²-1)³ = 0

Crixxi
(y²+z²-1)² +(x²+y²-1)³ = 0

Berg
x²+y²z²+z³ = 0

Gupf
x²+y²+z=0

Kegel
x²+y²-z²=0

Wigwam
x²+y²z³=0

Tuelle
yz(x²+y-z) = 0

Pipe
x²-z=0

Fanfare
-x³+z²+y²=0

Kreuz
xyz=0

Spindel
x²+y²-z²= 1

Twilight
(z³-2)² +(x²+y²-3)³ =0

Ufo
z²-x²-y² = 1

Wendel

Zeck
x²+y²-z³(1-z) = 0

Sattel
x²+y²z+z³=0

Schneeflocke
x³+y²z³+yz⁴=0

Cylinder
x² + y² = 1

souce: uibk.ac.at

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Comments (8)

Brad

Moderator

Joined: 9 Sep 2007 23:59:25 IST

Posts: 647

24 Jan 2008 18:40:35 IST

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This is superb stuff sir...however i have heard about many of these for the first time.

James Bond

Hot goIITian

Joined: 14 Sep 2007 08:49:03 IST

Posts: 188

24 Jan 2008 20:33:28 IST

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gr88...

mukul bansal

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Joined: 9 Sep 2007 17:54:19 IST

Posts: 640

24 Jan 2008 23:28:40 IST

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100 nickels awarded

Pratik Anand

Blazing goIITian

Joined: 11 Jun 2007 22:58:05 IST

Posts: 914

25 Jan 2008 19:58:41 IST

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one is called Nepali?? see.....

Tarin Bansal

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Joined: 27 Jul 2007 21:32:33 IST

Posts: 3134

26 Jan 2008 02:37:30 IST

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Wow sir. Gr8 one.
Yaah pratik. I saw that. I wonder why there is no INDIAN?
Hehehe

siddharth saxena

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Joined: 2 Mar 2007 16:23:19 IST

Posts: 480

26 Jan 2008 10:01:36 IST

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my fav is SOFA and FLIRT :p:p:p!!!!!!!!!!!!!!!

®µD®A

Blazing goIITian

Joined: 12 Apr 2008 21:35:13 IST

Posts: 2717

17 May 2008 18:03:00 IST

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I liked all

Tanmay

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Joined: 6 Sep 2007 23:18:40 IST

Posts: 956

18 May 2008 07:26:06 IST

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fabulous.........

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