various issues that has me concerned...

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how should a coil be wound and for what purpose?  all in the niddy gritty details of fabrication.... or is it?

H (last diagram) 2 wires per layer, and 2 layers for a total of 4 wires / 4 coils. 
with ends....
A1, A2.... B1, B2.... C1, C2... D1, D2....  how would you connect them?

are you looking for....
magnetic flux to electricity?
electricity to magnetic flux?
higher concentration of flux in the center of the coil/s? if nothing was going through center of the coil it would be air...
higher concentration of flux on the outside diameter of the coil/s?  say coil/s were being inserted into a pipe. vs being coiled around a pipe.
looking to saturate what ever is going through the center of the coil? and go past saturation point? or just up to saturation point of the material with least amount of electricity?
are you going for amplification or multiplication?  of either electricity (volts, amps, or watts)
are you looking to cancel out magnetic flux all together. or perhaps within a certain plain of X,Y,Z plain? 
are you trying to even out a specific frequency and adjust phases to better synchronization of multiple phases?

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i have cut off blades, saws, drills, sanding, washing, polishing, electrolysis, painting, layering. injection molding, melting, solidifying, off gassing.... etc... of physical material...
BUT my tools for molding and shaping and fabrication magnetic flux.....
are shape of wires, and materials the wires are made out of...
amps/watts/volts (pick 2 of them)...
any sort of pulsation / wave form  of A/C or D/C power
timing of the electricity.
permanent magnets.

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REFERRING BACK TO FIRST POST...
how is wire actually made?  honestly how is it made? 

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i am not a large fan of any sort of "rollers", pulleys, paths that wires may take en order to route the wire were it needs to go. before it finally makes it onto the spool and shipped out to the end customer....

BUT drum rollers can do some things to a wire....

((see attach diagram))

if ya ever messed with clay, or even kneeding bread (flour, eggs, oil, water)  you can take a lump of clay or mixture of dough... and roll it between your hands. to turn it into a rod shape,  the more you roll it pending on amount of pressure used with your hands, can remove any surface folds that still might be seen from the oringal clump you started out with. to simply squeezing everything down to a longer piece of rod...

drum rollers, can be a perfect cylinder (same diameter on each side) or "cone shaped" one side smaller than the other.  to "not aligned" perfect level in all 3 axis from the previous or next drum.  along with tension that is on the drum rollers.  the wire itself can be twisted and rolled across multi drums. it may start on the left side, but by the time it gets through say a dozen drums. it may have rolled itself all the way to the right side of the right drum.   and in this making sure the enter circumference of a round wire is pulled apart length wise at the same time rolled / squished to fill in any voids / cracks or like that might form.

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other things... is the wire ran through a vacuum chamber? is the wire placed through a "pressure chamber" think ran through the air tank on your air compressor in the garage.  is the air inside the pressure chamber some other gas than what you are breathing right now?  to prevent any sort of re-action that may not be wanted,  and wire needs to stay in a non oxygen atmosphere till an insulated or dip or some sort extra processes is/are done.

are you wanting the wire ran through drum rollers, inside a very high pressurized container so as to compress and condense the wire from a softer form to a harder stiffer wire?

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getting back on track

pancake coils....

hhmmsss.....

google tesla pancake coil or biflar coil (hope i got spelling righ biflor or biflar??)

((see the three attach diagrams))

what happens when you line up a few hundered pancake coils in a pipe formation?

what happens if you shape the pipe into a toriod shape?  were the pancake coils are at X degrees aligned with the central axis?

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single generic bar magnet, and 1 or 2 wires.

i never noted if the wire was "insulated" or if the wire was "bare copper" no cover around it.

other words go through it once with bare copper wire, 
then go through it all again with insulated wire.

would creating each setup on a flat surface like a table.  and then place a sheet of paper over the top. and then adding some iron filings work???

then for a "prob" / tester.... connect a iron piece of metal to a magnetic North pole.  to better prob around things?  perhaps another prob but iron bar that is small in diameter connect to a south pole?

would using different chunks of iron of different weights. be used to measure magnetic force of lifting or pulling or repelling forces?

would it be necessary to place things on "strings" so as to allow things to have a tad bit more freedom in testing of magnetic forces?

if you attached a spring to end of say South pole of a magnet.  while you held end of other spring in your fingers. give an idea of how much force was being applied by how much the spring either squished together or elongated (stretched out)?

EDIT broke up oringal image into multi images