Technical‎ > ‎Houdini‎ > ‎Isosurface‎ > ‎

### Singularity

 Round Stars:`max(max(abs(\$X),abs(\$Y)),abs(\$Z))-4+sqrt(min(min(abs(\$X),abs(\$Y)),abs(\$Z))^2+min(min(max(abs(\$X),abs(\$Y)),max(abs(\$X),abs(\$Z))),max(abs(\$Y),abs(\$Z)) )^2)*3` Square Stars:`max(max(abs(\$X),abs(\$Y)),abs(\$Z))-4+( abs( min( min( abs(\$X), abs(\$Y)), abs(\$Z)))+ abs( min( min( max( abs(\$X),abs(\$Y)),max( abs(\$X), abs(\$Z))),max( abs(\$Y),abs(\$Z)) )))*3` Virus:`-(\$X^2 + \$Y^2 + \$Z^2) +cos(deg(5*\$X))*cos(deg(5*\$Y))*cos(deg(5*\$Z)) + 0.215` Tetrahedral:`(\$X^2 + \$Y^2 + \$Z^2)^2 + 8*\$X*\$Y*\$Z - 10*(\$X^2 + \$Y^2 + \$Z^2) + 25` Blob 02:`\$X^2 + \$Y ^2 + \$Z^2 +sin(deg(4*\$X))+sin(deg(4*\$Y))+sin(deg(4*\$Z))-1` Wire Sphere:`((\$X^2 + \$Y^2 - 1)^2 + \$Z^2)*((\$Y^2 + \$Z^2 - 1)^2 + \$X^2)*((\$Z^2 + \$X^2 - 1)^2 + \$Y^2) - ch("R")^2*(1 + ch("bb")*(\$X^2 + \$Y^2 + \$Z^2))` Trap:` (\$X^8 + \$Z^30 + \$Y^8 - (\$X^4 + \$Z^50 + \$Y^4 -0.3))*(\$X^2 + \$Y^2 + \$Z^2 -0.5)` Crixxi:`(\$Y^2 + \$Z^2-1)^2 + (\$X^2+\$Y^2-1)^3` Bloby Schwartz:`-(\$X^2 + \$Y ^2 + \$Z^2) +cos(deg(5*\$X))+cos(deg(5*\$Y))+cos(deg(5*\$Z)) -.1` Nuts:`(sqrt(\$X^2+\$Y^2+\$Z^2) - 1.5) ^5 + \$Y^2*\$X^2*\$Z^2` Icosahedron:`if( (\$X^2 + \$Y^2 +\$Z^2 < 35), 2 - (cos(deg(\$X + (1+sqrt(5))/2*\$Y)) + cos(deg(\$X - (1+sqrt(5))/2*\$Y)) + cos(deg(\$Y + (1+sqrt(5))/2*\$Z)) + cos(deg(\$Y - (1+sqrt(5))/2*\$Z)) + cos(deg(\$Z - (1+sqrt(5))/2*\$X)) + cos(deg(\$Z + (1+sqrt(5))/2*\$X))) , 1)` Hunt Surface:`4* (\$X^2 + \$Y^2 + \$Z^2 -13)^3 + 27 * (3*\$X^2 + \$Y^2 - 4*\$Z^2 - 12)^2` Schwartz:`cos(deg(\$X)) + cos(deg(\$Y)) + cos(deg(\$Z))` Flower:`1 - (abs(\$X)+(\$Y^3)+abs(\$Z))` Treffle:`\$X^4 * \$Y^2 + \$Y^4*\$X^2 - \$X^2*\$Y^2+\$Z^6` Spire:`\$X^5+\$X^8+\$Y^5+\$Z^5+\$Z^8-(0.00017^(cos(2*\$X)*cos(2*\$Y)+cos(2*\$Y)*cos(2*\$Z)+cos(2*\$Z)*cos(2*\$X)))` Saturn:`(sqrt(\$X^2+\$Z^2)-ch("c")) * (sqrt(\$X^2+\$Z^2)-ch("r"))^2 + \$Y*\$Y - (ch("R")^2)` Bretzel Sphere:`((\$X^2+\$Y^2-0.8^2)^2+(\$Z^2-1)^2) * ((\$Y^2+\$Z^2-0.8^2)^2+(\$X^2-1)^2) * ((\$Z^2+\$X^2-0.8^2)^2+(\$Y^2-1)^2) -0.02` Blob Sphere:`cosd(5*\$X)*cosd(5*\$Y)*cosd(5*\$Z) +(sind(5*\$X)*sind(5*\$Y)*sind(5*\$Z)) -(\$X^8 + \$Y^8 + \$Z^8) -0.55` Mc Mullen:`(0.5+\$X^2)*(0.5+\$Y^2)*(0.5+\$Z^2)+8*\$X*\$Y*\$Z-0.5` Stern:`\$X^2 * \$Y^2 + \$Y^2*\$Z^2 + \$X^2*\$Z^2 + 0.01 * (\$X^2 + \$Y^2 + \$Z^2 - 1)^3` Bretzel 4:`(\$X*\$X*(1.21-\$X*\$X)^2*(3.8-\$X*\$X)^3-10*\$Y*\$Y)^2/10+60*\$Z*\$Z-2` Bretzel 2:`((\$X^2*(1-\$X^2)-\$Y^2)^2+0.5*\$Z^2-0.025*(1+(\$X^2+\$Y^2+\$Z^2)))` Worm:`(2^2 - 0^2 - (2 + 2.1)^2) * (2^2 - 0^2 - (2 - 2.1)^2)*(((\$X/0.6)/3.9)^4+(\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))^4+(\$Y*sind(0.575383*(\$X/0.6)) + \$Z*cosd(0.575383*(\$X/0.6)))^4)+ 2*((2^2 - 0^2 - (2 + 2.1)^2 )*(2^2 - 0^2 - (2 - 2.1)^2)* (((\$X/0.6)/3.9)^2 * (\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))^2+((\$X/0.6)/3.9)^2 * (\$Y*sind(0.575383*(\$X/0.6)) + \$Z*cosd(0.575383*(\$X/0.6)))^2+(\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))^2 * (\$Y*sind(0.575383*(\$X/0.6)) + \$Z*cosd(0.575383*(\$X/0.6)))^2))+2* 2^2 *((-0^2-2^2+2^2+2.1^2)* (2 *((\$X/0.6)/3.9) *2+2* (\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))* 0-2^2)-4*0 *2.1^2 *(\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6))))*(((\$X/0.6)/3.9)^2+(\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))^2+(\$Y*sind(0.575383*(\$X/0.6)) + \$Z*cosd(0.575383*(\$X/0.6)))^2)+ 4 * 2^4 * (2 *((\$X/0.6)/3.9)+0 *(\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6))))* (-2^2+0 * (\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))+2 * ((\$X/0.6)/3.9))+4* 2^4 * 2.1^2 * (\$Y*cosd(0.575383*(\$X/0.6)) - \$Z*sind(0.575383*(\$X/0.6)))^2+2^8` Twisted Torus:`(sqrt((\$X/2.7)*(\$X/2.7)+(\$Y*sin(deg(0.436332*\$X)) + \$Z*cos(deg(0.436332*\$X)))*(\$Y*sin(deg(0.436332*\$X)) + \$Z*cos(deg(0.436332*\$X))))-3)^2 + (\$Y*cos(deg(0.436332*\$X)) - \$Z*sin(deg(0.436332*\$X)))*(\$Y*cos(deg(0.436332*\$X)) - \$Z*sin(deg(0.436332*\$X))) - 1` Bugs:`min( ((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))-0.7)*((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))-0.7) + (\$Y/2.9)*(\$Y/2.9) + (\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y)))*(\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y))) - 1,  ((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))+0.5)*((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))+0.5) + (\$Y/2.9)*(\$Y/2.9) + (\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y)))*(\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y))) - 1)` Column 01:`min( ((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))-0.7)*((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))-0.7) + (\$Y/2.9)*(\$Y/2.9) + (\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y)))*(\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y))) - 1,  ((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))+0.5)*((\$X*cos(deg(0.866646*\$Y)) - \$Z*sin(deg(0.866646*\$Y)))+0.5) + (\$Y/2.9)*(\$Y/2.9) + (\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y)))*(\$X*sin(deg(0.866646*\$Y)) + \$Z*cos(deg(0.866646*\$Y))) - 1)` Column 02:`\$X^5+\$X^8+\$Y^5+\$Z^5+\$Z^8-(0.00017^(cosd(3*\$X)*cosd(3*\$Y)+cosd(3*\$Y)*cosd(3*\$Z)+cosd(3*\$Z)*cosd(3*\$X)))` Tree Of Life:` 2-(\$X^2+\$Y^2)/55-0.135*\$Z-cosd(sqrt(\$X^2+\$Y^2))*sind(12*atan(\$Y/\$X)) -cosd(12*atan(\$Y/\$X))*sind(\$Z) -cosd(\$Z)*sind(sqrt(\$X^2+\$Y^2))-0.3*(cosd(sqrt(\$X^2+\$Y^2))*cosd(15*atan(\$Y/\$X)) -cosd(15*atan(\$Y/\$X))*cosd(\$Z) -cosd(\$Z)*cosd(sqrt(\$X^2+\$Y^2)))`