[ATM] Explanation of the HCF lap effect (was Beeswax)

[Vladimir Galogaza]

Mel Wrote:

>Is there an explanation?  Yes, one is based on symmetry and the other on
>integral calculus.

>Because one interacting surface has broken symmetry (the lap), the other
>interacting surface will gradually acquire the same broken symmetry.

>Take a piece of paper and cut a large circular disk out of it.  Imagine a
>pitch lap made in the pattern of a giant square, where the edges of the
>square represent where the pitch makes contact.  So the pitch makes contact
>on 4 lines (inverse of a giant pitch square).  Now using a pencil, mark out
>the polishing action based on moving this lap back and forth.  You'll see
>that a pattern representing the square emerges faintly.

>Mel Bartels



Mel,

What is "broken symmetry" ?

> Now using a pencil, mark out the polishing action

How?  By placing pencil on various points of the square edge, and moving
it back and forth?
Clearly the pencil trace from points on the edge parallel with the lap 
movement
will be straight lines. The trace of points on the edges perpendicular to 
the
edges will also be straight lines perpendicular to the edge. Result will be
square with sharp sides, in the lap movement direction,  and blurred  (wide)
ones for other two sides, right?

If lap is rotated, and blank as well, like in real case, this will never 
happen.
What was imprinted in one lap orientation  will be wiped out in the next lap 
rotation.
Besides, HCF cells are much smaller than lap stroke lengths. HCF cells are 
hexagons
shifted laterally row after row. So analogy with described "squares 
mechanism"
does not exist because hexagon edges of one row will be wiped out by the 
edges
of the next row.

So much about my understanding of the "symmetry argument".
If I do not get this one, what are my chances with "integral calculus 
argument"
when and if it will be presented.

Regards
Vladimir.