geometry and self-replication

Aug 27, 2013 17:24

Inspired by cp4space's blog about the geometry of self-replication: http://cp4space.wordpress.com/2013/08/21/langtons-loops/Read more... )

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darius August 28 2013, 01:57:30 UTC
It'd be amusing if the physical constants evolved that way. Like 1/137... and the rest.

http://www.howround.com/ promotes a book that gets into making things with geometrical constructions.

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atheorist August 28 2013, 10:12:04 UTC
Cool.

Yeah, I totally don't understand where precision comes from - is there some ladder of precision within a particular technology, where a closed-loop ecology can bootstrap upwards? (perhaps with diminishing returns for effort until we need to switch to a different technology).

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darius August 28 2013, 23:30:25 UTC
Alas, the book only glancingly touches on that theme. E.g. at one point on how to make a straightedge: if you have a first attempt, you could cut another following its edge, then flip it over and push them together -- they'll only fit if it's really straight. No word on how to reduce the error you've found, though of course I can imagine possibilities. I want a good intro to mechanical engineering for software nerds with some physics education, using Oculus Rift and some kind of haptic interface, please ( ... )

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darius August 28 2013, 23:39:27 UTC
(It would be a *great* example of the reverse engineering you're talking about if it didn't take reverse engineering to follow what the hell he's going on about.)

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atheorist August 28 2013, 12:54:02 UTC
There is something unsatisfying about stopping at "humans can perform compass and straightedge constructions, from purely digital (textual) descriptions of them." HOW do humans perform compass and straightedge constructions ( ... )

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darius August 28 2013, 23:33:10 UTC
In high school geometry I was a bit surprised how precise you could be in practice. I guess to really draw a good straight line through two points you need four arms, to hold a pencil down at each point, hold the straightedge against them, and draw the line along the edge -- but just two arms used serially aren't too awful.

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