[ExI] tumbling pyramids again

[spike]

From: extropy-chat [mailto:extropy-chat-bounces at lists.extropy.org] On Behalf Of Mike Dougherty



 

 

Mike were you the one who proposed phi?  Want to stay with that answer?

Yeah, it was a hopeful guess.

 

>…Now I'm guessing it's a magic ratio in some other part of this equation.  Ex: the surface area of square side to triangular side - for reasons similar to how only the surface area of a sphere is relevant to the information to describe the volume…

 

 

 

>…When the CG of the nanoGizr is the same on the square base or triangular face, then h = square root 2.  I am confident now that phi does not appear in this case, because it has that square root 5 in there.

 

What I realized while carving nanoGizrs last night was this thing has all kinds of scale dependencies that do not apply to cubes much.  If there are any electromagnetic effects, then square/cube effects hide behind every rock and tree.  If we are talking about conservation of momentum, we end up in cube/fifth power scaling effects.   Reasoning: angular momentum is moment of inertia times angular rate.  Mass of the nanoGizr scales as the third power of the side length, but the moment of inertia scales as the fifth power of the side length.  The symmetry of a cube washes away a pile of stuff that comes into play with a nanoGizr or any tumbling unsymmetrical solid object. 

 

 

 

>…While walking the dog yesterday i saw an unusually white stone on the ground.  Upon closer inspection,  there is a pyramid visible inside the otherwise classic "just a rock" shape.  I think it's a large chunk of halite, aka rock salt.   I wonder if nature has already solved this problem,  being very 'good' at solving energy equations even if via brute trial and error for long periods of time…

 

In principle I agree, but that you found a piece of halite outdoors I consider unlikely.  Many crystals form a face-centered cubic structure, but halite will be unlikely to stay long outdoors (too water soluble.)

 

I just heard my set of 20 nanoGizrs will be ready soon.

 

spike

 

 

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