Thursday, January 10, 2008

Algebraic Surfaces

I clipped the images but had to stop clipping the formulas - ie: there are more formulas at the source

Algebraic Surfaces


Calyx
x2+y2z3 = z4


Dattel
3x2+3y2+z2=1


Calypso
x2+y2z = z2


Columpius
x3y+xz3+y3z+z3+7z2+5z=0


Cube
x6+y6+z6=1


Herz
y2+z3-z4-x2z2 = 0


Harlekin
x3z + 10x2y + xy2 + yz2 = z3


Geisha
x2yz + x2z2 = y3z + y3


Himmel und Hölle
x2-y2z2=0


Kolibri
x3 + x2z2 - y2


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


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


Quaste



Wedeln
x3 = y (1-z2)2


Solitude
x2yz +xy2+y3+y3z=x2z2


Möbius



Torus
(x2+y2+z2+R2-r2)2 = R2(x2+y2)


Buggle
x4y2+y4x2-x2y2+z6=0


Crixxi
(y2+z2-1)2 +(x2+y2-1)3 = 0


Tuelle
yz(x2+y-z) = 0


Schneeflocke
x3+y2z3+yz4=0


Cylinder
x2 + y2 = 1


Kreuz
xyz=0


Sphäre
x2 + y2+ z2 = 1


Dromedar
x4 - 3x2 + y2+z3 = 0


Xano
x4 +z3 = yz2


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


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


Croissant



Limao
x2-y3z3 = 0

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