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				Wiffleball Equipotential Surface Approximations
				Posted: Mon Feb 21, 2011 6:40 am
				by DeltaV
				
			 
			
					
				
				Posted: Mon Feb 21, 2011 1:08 pm
				by KitemanSA
				Can you do one with an image magnet representing the plasma?  This looks similat to KCDodd's bagshot.
			 
			
					
				
				Posted: Mon Feb 21, 2011 3:49 pm
				by ladajo
				To be fair, I think my now 7 year old son gets credit.
These look good, but what about the cusp in the center of the field? There would seem to be a way to mix two polyhedrals to get the effect.
Good find.
			 
			
					
				
				Posted: Mon Feb 21, 2011 8:32 pm
				by DeltaV
				KitemanSA wrote:Can you do one with an image magnet representing the plasma?
These are just exact expressions for surfaces which superficially resemble what one might expect for Polywell surfaces of equal <
insert relevant physical parameter here>, not anything based on field solutions.  With jiggled constants to approximate (soon to appear?) experimental data they might have some minor utility for rough estimates of <???>.
 
			 
			
					
				
				Posted: Mon Feb 21, 2011 8:34 pm
				by KitemanSA
				DeltaV wrote:These are just exact expressions for surfaces which superficially resemble what one might expect for Polywell surfaces of equal <insert relevant physical parameter here>, not anything based on field solutions.  
           Aw dang!
 
			 
			
					
				
				Posted: Mon Feb 21, 2011 8:42 pm
				by DeltaV
				ladajo wrote:but what about the cusp in the center of the field? There would seem to be a way to mix two polyhedrals to get the effect.
I'm not sure what you mean.  The rhombic dodecahedral star seems to capture all 14 point cusps of the 6-coil cube magrid.  Do you mean center of the magrid "sphere"?
 
			 
			
					
				
				Posted: Mon Feb 21, 2011 8:43 pm
				by DeltaV
				duplicate post - deleted
			 
			
					
				
				Posted: Mon Feb 21, 2011 8:58 pm
				by ladajo
				Yes it does. But how would you account for coil spacing verses field strength? I was thinking that if you combined two shapes as a merged one, maybe you could do it.
			 
			
					
				
				Posted: Tue Feb 22, 2011 5:11 am
				by DeltaV
				ladajo wrote:Yes it does. But how would you account for coil spacing verses field strength?
Not including the leading "1" term, I count 9 coefficients* in the rhombic dodecahedral star equation.  I think those can be tweaked to approximate what you're referring to.  In other words, shaping the parts of the surface that are rotationally symmetric about the coil/cusp axes.  
If I had time during the next few weeks, I'd code up a Mathematica demo with 9 sliders for the coefficients. 
* Or, 14 unique integers making up the rational numbers which make up the 9 coefficients.