# Mehrdad Garousi

I am interested in all types of mathematical arts which are generated
in computers; from 2D and 3D fractals to 3D mathematical sculptures
and knots. Every now and then I encounter a new imagery software
working on the basis of mathematical algorithms, I try to examine its
capacities in creating works containing acceptable amounts of
aesthetics. This time I have used Surfer.

Surfer is a mathematical imagery software which creates and displays
surfaces constructed according to zero sets of polynomial equations.
Such equations consist of three variables of x, y and z and could be
short and simple or so complicated and complex. Due to the
praiseworthy positioning, coloring, transparency, and lighting
adjusters of the software one can have not only some rough spatial
representations of geometrical shapes, but some aesthetically shapes
of art. Software itself has couples of pre-existing equations to start
from and altogether provides a handy and easy medium to learn for both
math experts and amateurs and even those with aesthetical inspirations
and no mathematical backgrounds wishing to have beautiful visual
results directly driven from pure mathematics. I usually try, by
rotating surfaces in the space, to snap angles of view containing some
kind of symmetry. All works presented here are created in Surfer and
the generator equations have been provided for each one so that
everybody can carry them out again in the software with an easy
copy-paste. More information and additional examples could be found in
the proceedings of ISAMA 2011 under the title of "Mathematical Art and
Surfer" and the software could be downloaded free at
http://www.imaginary-exhibition.com/surfer.php
.

(x^2+y^2+z^2-(0.5+2*a)^2)^2-(3.0*((0.5+2*a)^2)-1.0)/(3.0-((0.5+2*a)^2))*(1-z-sqrt(3)*x)*(1-z+sqrt(3)*x)*(1+z+sqrt(3)*y)*(1+z-sqrt(3)*y)=0 a= 0.15 It should be paid attention that opening my equations in the software might not have the same result in your viewer. Differences are because of zoom, color and/or position issues which are not contained in the equations.

(y*x^3+x*z^3+z*y^3)*(x+y+z)=0