Here's someone's copy of his clock: https://c1.staticflickr.com/3/2907/14489121635_19f4c45d82_b.jpg On Mon, Jan 29, 2018 at 12:58 PM, Mike Stay <metaweta@gmail.com> wrote:
Gitton's water clock implemented a counter using tanks and siphons. http://www.marcdatabase.com/~lemur/dm-gitton.html#logictheory I saw a version of this at the Deutsches Museum in Munich.
Here's a different design for water-based circuits: https://www.youtube.com/watch?v=6qP9HfUOCN4&t=10m3s
On Mon, Jan 29, 2018 at 12:36 PM, Cris Moore <moore@santafe.edu> wrote:
It sounds like you should show them linkages: https://en.wikipedia.org/wiki/Kempe%27s_universality_theorem
- Cris
On Jan 29, 2018, at 11:09 AM, James Propp <jamespropp@gmail.com> wrote:
Actually, now that I've thought a little harder about what I'm after, namely a cool exhibit for the Museum of Mathematics, whose core audience consists of kids who haven't seen calculus, I realize that what I want is an analogue system for solving ALGEBRAIC equations, as opposed to DIFFERENTIAL equations.
So I'm asking for a lot less!
As an example of the kind of thing that might be suitable, check out Mark Levi's recent proposal for hydrostatic solution of polynomial equations:
https://sinews.siam.org/Details-Page/a-water-based-solution-of-polynomial-eq...
Jim Propp
On Mon, Jan 29, 2018 at 8:09 AM, James Propp <jamespropp@gmail.com> wrote:
Anyone know of any good designs for an easy-to-make analogue computer based on springs, masses, and dashpots?
That is, we want a supply of easily-interconnectable components that we can combine in ways that correspond to a prescribed differential equation, so that the behavior of the system will be a solution of the equation.
As I recall, there’s also a way to get hydraulic analogues of LRC networks (though I forget what the three sorts of components are called); is there a good design for a hydraulic computer?
Jim Propp
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-- Mike Stay - metaweta@gmail.com http://www.math.ucr.edu/~mike http://reperiendi.wordpress.com
-- Mike Stay - metaweta@gmail.com http://www.math.ucr.edu/~mike http://reperiendi.wordpress.com