4Dice vs Fractal Catalog

This application exploits multitouch controls to explore a hypercube labeled as a 4-dimensional, 8-sided die. The hypercube's eight cube-shaped faces are rendered as a 4D being would see them in 4D light: thus, only one, two, three, or four cubic faces can appear at one time while the die rolls, but no more. Faces that would be invisible to a 4D gambler cannot be seen without interactively rolling the die to bring them into view.

In the “Fractal Catalog” iPhone/iPad app, you can see various fractal figures while moving them. ** Fractals handled in “Fractal Catalog” ** C Curve Sierpinski Gasket Sierpinski Carpet Pentaflake Hexaflake Sierpinski Curve Hilbert Curve Peano Curve Moore Curve Koch Curve Koch Snow Flake Gumowski Mira Attractor Julia Set Mandelbrot Set Cellular Automaton Pascal’s Triangle Barnsley Fern Dragon Curve Modified Koch Curve Tree Curve Z Order Curve Minkowski Sausage Vicsek Snow Flake Saltire Vicsek Snow Flake Cross Torn Square Fractal Cantor Set Cantor Dust Gosper Curve Gosper Curve N13 Affine Transformation IFS Ammonite Affine Transformation IFS Tree Affine Transformation IFS Twin Dragon Affine Transformation IFS Branch Affine Transformation IFS Fern 2 Chaos Game Random Walk & Levy Flight Diffusion Limited Aggregation Diffusion Limited Deposition Invasion Percolation Ballistic Aggregation Devil’s Staircase Eden Model Scheidagger River Net