Peter Eden

Life Swallows Universe

"Life" plays out one generation at a time. The rules dictate what happens from one generation to the next. "Cells" live, die, and come to life.

The classic game of "Life" plays out on a flat, square, two-dimensional, grid. This can be rolled into a cylinder, which can be bent into a torus. This becomes a closed universe with no edges. The properties of every cell are identical. "Life" is contained.

But the "Life" rules can be played out on many other surfaces.

A triangular grid has six triangles at each vertex forming a flat surface or bent into a torus. It is also possible to build grids where seven or eight triangles meet at a vertex. These grids immediately build uniform three dimensional structures extending forever outwards.

Watch in fascination as the game of "Life" is played out on some very interesting surfaces.

Peter Eden

Peter Eden has been a surveyor, alluvial tin mine manager, factory manager, and high school maths and physics teacher. He has been fascinated by recreational mathematics all his life and creates the Sudoku puzzles for TableAus. Peter has dabbled in writing computer software but never managed to find a commercial market. His main hobbies are kayaking, bushwalking, and extreme gardening at his one-hectare mountain retreat. He amuses himself playing with three dimensional solids and computer graphics.