Fun math art (pictures) - benice equation

Making Patterns with Rotational Symmetry of Order 4 Using a n by n Grid of Random Shaded Squares (1) n is even (n = 12) gnuplot s...

y' = x² + y² - r²  (r = 0, 1, 2, ..., 7) y' = (x + y)/(x - y)  (method 1) y' = (x + y)/(x - y)  (method 2) ...

Equations: The equation of a rounded rectangle centered at (0,0) with width 2(a+c), height 2(b+c) and corner radius c can be express...

Example 1. ( n = 5,  ratio = 1) gnuplot script 1: n = 5 ratio = 1.0 A = 2*pi/n c = 2*cos(A) d = rat...

Consider the polar equation     r³ - 3r + a = sin³θ   (where a is a fixed number, 1.7 ≦ a ≦ 1.8 ). First, we plot the polar equati...

Sinusoidal Strings of Pebbles (r=0.1, n=32) (r=0.15, n=42) (r=0.4, n=60) A ring of circles can be expressed as follows: x = ...

(Sierpinski triangle with hearts) Example 1: (iterations: 6) (GIF animation) gnuplot script 1: triangle(x,y) = sqrt(...

gnuplot script: square(x,y) = abs(x + y) + abs(x - y) - 3 S0(x,y) = abs(x + y) + abs(x - y) - 1 f(x) = 3*abs(x) - 3 S1(x,y) = S0(3*x...

This is a parameter animation (plotted upside down) for the modified Thomae function : gnuplot script: d = 0.001 m = 250 f(n,k...

Consider the Thomae function (or modified Dirichlet function ): This function is continuous at all irrational numbers and discontinuou...

A polar representation of the regular star polygon {n/k} (or the regular polygon {n} when k = 1) can be given by Example files: ...

gnuplot script: a = 1.0 b = 1.9 c = 7.0/13.0 d = 0.76 f = 7.0/130.0 g = 19.0/300.0 k = 0.0308 l = 1.0/13.0 star(x,y) = \ ( (5...