3D visulaisation of 3D matrix for a 3D CA

*To*: mathgroup at smc.vnet.net*Subject*: [mg109423] 3D visulaisation of 3D matrix for a 3D CA*From*: Jon Grenoble <jongrenoble at gmail.com>*Date*: Mon, 26 Apr 2010 07:32:46 -0400 (EDT)

Hi, I have a 3D matrix, of the form {{{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10,11,12}, {13,14,15,16}}, {{17, 18, 19, 20}, {21, 22, 23, 24}, {25, 26, 27, 28}, {29, 30, 31, 32}}} I want to plot this matrix, where every number is a unit cube, to give a sort of 3D grid, where the number gives the colour. In reality most numbers would be 0, which would be transparent. I want to do this as I'm developing a 3D partitioned cellular automaton, and have it defined over structures of this sort, and I want to be able to visualise its development. In 2D I've used MatrixPlot and Animate to do this. One layer is 1-16, and the second is 17-32. Any help would be greatly appreciated, Thanks!