3D images of magic cubes are the departure point for my digital artwork CubeLife, where the images mutate through interaction with a heartbeat monitor. You can view stills from an early adaptation of this applet or go straight to a movie of the same images in sequence (no order 5 cube at that stage). The Java for the artwork (no longer supported in browsers) was written by Greg Turner, from my initial and very rough pseudocode. An image from another version shows several cubes in various colours, one of them (in blue) malformed because part of the integer sequence was missing. I'm archiving material connected with this process, and preparing background research material on the cultural interpretation of number at the dedicated site for the project cubelife.org.
The most recent work has been to develop a web-based magic square visualiser, in collaboration with Fania Raczinski, and a forthcoming paper for the Computer Arts Society (CAS) on the most recent magic square research is due for publication this Summer.
Greg Turner recently rewrote the magic-cube generating part of cubeLife using processing.js, which will be made available soon.
Please note: although there is a refined version of this Java applet (developed in collaboration with Greg Turner) Java Applets are no longer supported in modern browsers. This applet enabled views of magic cubes from order 3 to order 12 in one window, an ability to change the cube's foreground and background colours, turn numbers on and off, and move it in 3D space (you had to resize your window to see the controls). Future versions were originally planned to allow users to upload new magic cubes.
The thumbnails above link to 3D visualisations of magic cubes, using a Java applet designed and written in 1998 by the late Ben Daglish, a friend of mine (programmer and musician).
To see the original work (from around 1995) on a legacy Apple Mac (System 6.8 - 9 or Classic on OS X) you can download my first magic square application (zip) or .sit file) - you'll need HyperCard Player (still available), if it's not already on your old Mac. It draws the magic line patterns formed by magic squares and provided a way of storing and examining magic lines. If you want more information on the subject or have a particular inquiry, the links on Harvey Heinz's excellent pages on number patterns is a good place to start.
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