
Monday, March 16, 2009
Sunday, March 15, 2009
Wednesday, March 4, 2009
Dancing Cube
Non-Cubic Space Division
M.C. Escher's "Cubic space division" ("Kubische ruimteverdeling") lithograph from 1952 inspired me to make this image. The shape of the cross sections of the "bars" in this image is formed by the function for a superellipse. And the cube-like shapes at the intersections of the girders are formed with the function for a superellipsoid. I "disturbed" the 3-dimensional grid by using a function that rotates the shape according to 3 noise functions; one for each of the x-, y-, and z-axes. I wanted all the shapes to be joined smoothly, so I added the functions for the "bars" and the "cubes" with the help of a "blobbing" function; the Sigmoid function. The Sigmoid function has a S-shape that is similar to the shape of the tanh() function.
Forgotten Neighbourhood
Toroidal Noise
This image is a result from my early experiments with isosurfaces. It shows a single isosurface shape. The chaotic "forest" in this image is formed by giving 4 different noise functions as arguments to a torus function. The fourth function, which is given as the minor radius to the torus function, also controls the colour of the pigment. (The major radius is set to a constant value.)
Travieso
Reach for the Stars
This image was rendered by Mark Shuttleworth whilst orbiting earth in the International Space Station. If you are interested you can read the full story about how it came to be.
Lonely Sphere
The "hills" and the "tubes" that follows the smooth "grooves" in it are made with 2 isosurfaces. The basis function for the "terrain" in this image is a "sombrero" function that has been displaced vertically by a noise function. The grooves are made by subtracting the function for the "tubes" from the function for the "hills" with the help of a "blobbing" function; the hyperbolic tangent function. The tanh() function has a S-shape that is similar to the shape of the Sigmoid function.
Evening at the River
Cooling Tower
Villarceau Circles
For every point on a torus one can draw four different circles through it that all lie on the surface of the torus. Two of these four circles are called Villarceau circles. The four narrow pairs of bands in this image follows such Villarceau circles. All the shapes in this image are made with Constructive Solid Geometry operations with tori only (except for the ground plane of course).
Swamp World
Distant Shores
Christmas Baubles
Christmas Baubles
Saturday, February 21, 2009
"Bonsais"My lame attempt at a tree macro resulted in some nice bonsais
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