Herwig Hauser's gallery of algebraic surfaces
This is my plastic 3d printed version of Herwig Hauser’s gallery of algebraic surfaces.
It’s not 100% complete, but it’s pretty close.
\[x^2+y^2z^3 = z^2\]
\[x^2+y^2 z = z^2\]
\[x^3y + xz^3 +y^3z + z + 7z^2 + 5z=0\]
\[x^6+y^6+z^6 = 1\]
\[x^2+y^2+z^3=z^2\]
\[x^2+y^2+z^2 + 1000(x^2+y^2) (x^2+z^2)(y^2+z^2) = 1\]
\[x^3 y+ xz^3 +y^3z+z^3+5z=0\]
Eistute
\[(x^2+y^2)^3 = 4x^2y^2(z^2+1) \]
\[\frac{1}{2}x^2+2xz^2+5y^6+15y^4+\frac{1}{2}z^2= 15y^5 + 5y^3\]
Flirt
\[x^2-x^3+y^2+y^4+z^3-10z^ 4=0\]
\[x^2yz+x^2z^2 = y^3z+y^3\]
\[6x^2-2x^4 = y^2z^2\]
Himmel und Hölle
\[x^2-y^2z^2=0\]
\[x^3+x^2z^2 - y^2=0\]
\[1000 x^2y^2z^2 + 3x^2+3y^2+z^2=1\]
\[x^2 + (z+y^2)^3=0\]
\[x^4-2.5x^2y^3 -xz^3 +y^6 -y^2z^3 = 0\]
Sofa
\[x^2+y^3+z^5=0\]
\[x^2yz+xy^2+y^3+y^3z = x^2z^2\]
\[(x^2+\frac{9}{4}y^2 + z^2-1)^3 - x^2z^3 - \frac{9}{80} y^2z^3 =0\]
\[x^3z+x^2+yz^3+z^4 = 3xyz \]
Vis a vis
\[x^2-x^3+y^2+y^4+z^3-z^4=0\]
Wedeln
\[x^3=y(1-z^2)^2 \]
Windkanal
\[-x^2+y^4+z^4-xyz = 100\]
Xano
\[x^3+z^3=yz^2 \]
Zitrus
\[x^2+z^2+y^3(y-1)^3=0\]
Croissant
\[\]
Dromedar
\[x^4-3x^2+y^2+z^3=0\]
Michelangelo
\[x^2+y^4+y^3z^2=0\]
Stern
\[400(x^2y^2+y^2z^2+x^2z^2) + (x^2 + y^2 + z^2 - 1)^3= 0\]
Sphare
\[x^2+y^2+z^2=1\]
Limao
\[x^2-y^3z^3=0\]
Torus
\[(x^2+y^2+z^2+R^2-r^2)^2 = R^2(x^2+y^2)\]
Whitney
\[x^2-y^2z=0\]
Buggle
\[x^4y^2+y^4x^2-x^2y^2 + z^6 =0\]
Dullo
\[ (x^2+y^2+z^2)^2-(x^2+y^2)=0\]
Trichter
\[ x^2+z^3 = y^2z^2\]
Nepali
\[(xy-z^3-1)^2 + (x^2+y^2-1)^3=0\]
Pilzchen
\[(z^3-1)^2+(x^2+y^2-1)^3=0\]
Subway
\[x^2y^2+(z^2-1)^3=0 \]
\[(x^3-1)^2+(y^3-1)^2+(z^2-1)^3=0\]
Kegel
\[x^2+y^2-z^2=0\]
\[x^2+y^2z^3=0\]
\[yz(x^2+y-z)=0\]
Fanfare
\[-x^3+z^2+y^2=0\]
\[xyz=0\]
\[x^2+y^2-z^2=1\]
\[(z^3-2)^2+(x^2+y^2-3)^3=0\]
\[x^2+y^2-z^3(1-z) =0 \]
\[x^2+y^2z + z^3 = 0\]