Here are some examples of 3D surface as seen in the tutorial. Copy the JSON string from a box below to the

calculator's large text area. Press the Load button,
then press Generate Python Script. Copy the generated Python script to Blender' text window and press the Run Script button.

**Simple Spiral:**

{"x":"1","y":"0","z":"0","u":"64","v":"1280","active":3,"mapsto":0,"matrices":[{"mat":[["cos(2*pi*u)","sin(2*pi*u)","0","0"],["-sin(2*pi*u)","cos(2*pi*u)","0","0"],["0","0","1","0"],["0","0","0","1"]]},{"mat":[["1","0","0","0"],["0","1","0","0"],["0","0","1","0"],["0","3","0","1"]]},{"mat":[["1","0","0","0"],["0","cos(20*pi*v)","sin(20*pi*v)","0"],["0","-sin(20*pi*v)","cos(20*pi*v)","0"],["0","0","0","1"]]},{"mat":[["1","0","0","0"],["0","1","0","0"],["0","0","1","0"],["0","7","0","1"]]},{"mat":[["cos(2*pi*v)","sin(2*pi*v)","0","0"],["-sin(2*pi*v)","cos(2*pi*v)","0","0"],["0","0","1","0"],["0","0","0","1"]]}]}

**Spinning Hypocycloid-based Spiral:**

{"x":"1","y":"0","z":"0","u":"65","v":"1024","active":0,"mapsto":0,"matrices":[{"mat":[["cos(-10*pi*u)","sin(-10*pi*u)","0","0"],["-sin(-10*pi*u)","cos(-10*pi*u)","0","0"],["0","0","1","0"],["4","0","0","1"]]},{"mat":[["cos(2*pi*u)","sin(2*pi*u)","0","0"],["-sin(2*pi*u)","cos(2*pi*u)","0","0"],["0","0","1","0"],["0","0","0","1"]]},{"mat":[["1+cos(20*pi*v)/3","0","0","0"],["0","1+cos(20*pi*v)/3","0","0"],["0","0","1+cos(20*pi*v)/3","0"],["0","0","0","1"]]},{"mat":[["cos(40*pi*v)","sin(40*pi*v)","0","0"],["-sin(40*pi*v)","cos(40*pi*v)","0","0"],["0","0","1","0"],["0","0","0","1"]]},{"mat":[["1","0","0","0"],["0","1","0","0"],["0","0","1","0"],["9","0","0","1"]]},{"mat":[["cos(20*pi*v)","0","sin(20*pi*v)","0"],["0","1","0","0"],["-sin(20*pi*v)","0","cos(20*pi*v)","0"],["0","0","0","1"]]},{"mat":[["1","0","0","0"],["0","1","0","0"],["0","0","1","0"],["25","0","0","1"]]},{"mat":[["cos(2*pi*v)","sin(2*pi*v)","0","0"],["-sin(2*pi*v)","cos(2*pi*v)","0","0"],["0","0","1","0"],["0","0","0","1"]]}]}

**Pipes:**

{"x":"1","y":"0","z":"0","u":"32","v":"1280","active":3,"mapsto":0,"matrices":[{"mat":[["cos(2*pi*u)","0","sin(2*pi*u)","0"],["0","1","0","0"],["-sin(2*pi*u)","0","cos(2*pi*u)","0"],["0","0","0","1"]]},{"mat":[["1","0","0","0"],["0","1","0","0"],["0","0","1","0"],["5","0","0","1"]]},{"mat":[["cos(2*pi*v)","0","sin(2*pi*v)","0"],["0","1","0","0"],["-sin(2*pi*v)","0","cos(2*pi*v)","0"],["0","0","0","1"]]},{"mat":[["1","0","0","0"],["0","1","0","0"],["0","0","1","0"],["10","0","0","1"]]},{"mat":[["cos(20*pi*v)","sin(20*pi*v)","0","0"],["-sin(20*pi*v)","cos(20*pi*v)","0","0"],["0","0","1","0"],["0","0","0","1"]]}]}

**Snail Shell:**

{"x":"1","y":"0","z":"0","u":"32","v":"128","active":2,"mapsto":0,"matrices":[{"mat":[["cos(2*pi*u)","sin(2*pi*u)","0","0"],["-sin(2*pi*u)","cos(2*pi*u)","0","0"],["0","0","1","0"],["1","0","0","1"]]},{"mat":[["sin(pi*v/2)","0","0","0"],["0","sin(pi*v/2)","0","0"],["0","0","1","0"],["0","0","0","1"]]},{"mat":[["cos(4*pi*v)","0","sin(4*pi*v)","0"],["0","1","0","0"],["-sin(4*pi*v)","0","cos(4*pi*v)","0"],["0","1.5*cos(pi*v/2)","0","1"]]}]}

**Patterned Sphere:**

{"x":"0","y":"0","z":"0.25 + sin(pi*u)*max(cos(10*pi*u+20*pi*v) -.5, cos(10*pi*u-20*pi*v) -.5)/20","u":"512","v":"512","active":1,"mapsto":0,"matrices":[{"mat":[["1","0","0","0"],["0","cos(pi*u)","sin(pi*u)","0"],["0","-sin(pi*u)","cos(pi*u)","0"],["0","0","0","1"]]},{"mat":[["cos(2*pi*v)","sin(2*pi*v)","0","0"],["-sin(2*pi*v)","cos(2*pi*v)","0","0"],["0","0","1","0"],["0","0","0","1"]]}]}

**Spiked Sphere:**

{"x":"0","y":"0","z":"0.2+sin(u*pi)*(sin(10*u*pi) * cos(20*pi*v))/20","u":"500","v":"500","active":1,"mapsto":0,"matrices":[{"mat":[["1","0","0","0"],["0","cos(1*pi*u)","sin(1*pi*u)","0"],["0","-sin(1*pi*u)","cos(1*pi*u)","0"],["0","0","0","1"]]},{"mat":[["cos(2*pi*v)","sin(2*pi*v)","0","0"],["-sin(2*pi*v)","cos(2*pi*v)","0","0"],["0","0","1","0"],["0","0","0","1"]]}]}