Math 2D functional surfaces

thingiverse

The top surface of these shapes is defined by functions over the x and y intervals: 1) f(x,y) = Aarcsinh(x-y)cos(xy/3); {x,y} 0 -> 2*pi 2) f(x,y) = Asech(y)sin(xy); {x,y} -pi -> pi In these functions, A is an arbitrary real number that multiplies the surface but does not affect its general shape. The solid shapes printed out represent the volume attained by integrating the functions over x and y. Print Settings Printer: QUBD One up Rafts: No Supports: No Infill: Recommended 25% + Notes: These are relatively simple solid shapes as far as 3D models go, and printing with infill should give the necessary support for the top layers. Printing without enough infill can lead to irregularities on the top surfaces. How I Designed This The surfaces were defined and converted to a 3D file format using Wolfram Mathematica software. Mathematica supports a datatype referred to as a "mesh-region" which can be easily exported as .STL