4 ms·
James Grime (of, perhaps, Numberphile fame) made a video about it [1]. He also talks about how it's supposed to be related to Conway's game of life but is actu
by symmetricsaurus 9y ago
James Grime (of, perhaps, Numberphile fame) made a video about it [1].
He also talks about how it's supposed to be related to Conway's game of life but is actually not (Conway's game of life is a 2D cellular automaton, while rule 30 is 1D).
[1]: https://youtu.be/aeyhnrZvQBE https://youtu.be/aeyhnrZvQBE
- sova 9y agoRule 30 is 1D? Could you please elaborate on what you mean?
- LukeShu 9y agoThe pictures you're looking at, one of the axes is time. One row "becomes" the row below it. Each time-step iteration adds a row to the bottom, while the rows above it are immutable (because they are in the past).
- munificent 9y agoThis leads to the natural follow-up question: You can take a 2D automaton like Conway's Game of Life and turn time into a third dimension, giving you a single static volume. Has anyone tried doing that and 3D printing it?
- mcpherrinm 9y agoI found https://www.wired.com/2014/10/3-d-printed-shoes-generated-using-conways-game-life/ https://www.wired.com/2014/10/3-d-printed-shoes-generated-us... which seems cool Perhaps easier than 3D printing would be stacked laser-cut acrylic sheets. You could use transparent and partially opaque colors for dead and live cells, which lets you see the interior 3D structures more clearly than purely opaque 3D printed structures. I think the optical quality would likely be a lot better than anything I've seen 3d printed. I'm interested enough in this idea to see if I can come up with some interesting figures to make.
- sova 9y agoWould be very cool. Even just an LED Matrix that showed the game of life in 3D (time being the upwards/vertical step) would be cool
- tripzilch 9y agohave you thought about this? it would fall apart.