Hmmm, that's interesting.
Yeah, I never did try to equate the edges of the pentagram as elemental pathways, to the pyramid, tho the pyramids havng edges aligned with the cardinal directions certainly implied an elemental attribution.
My take on it was a little more simplistic (suppose the Zen rubbed off on me after all) the 4 edges, or even the faces, became the elements with spirit aligned in the center.
I'm gonna go on a limb here and go very right brain thinking in this next bit, so bear with me.
Obviously there's the recurrency in the numbers revolving strongly around 4 and it's double, 8. Theres also 5 involved. There's some numerological ideologies that indicate that the number 4 has a lot of karma around it and using the number 8 is often the balance / solution to the karma. How good those numerology system are, I'm not yet convinced. Be that as it may, Liber AL has as it's number 220 or 31, both of which are 4 and if we include the 1 spirit point in the examle of the pyramids, near which Liber AL was written, along with it's double which is 8, leading us to the solution to Liber AL.
It requires a bit of imagination since that's what came to mind.
On another note, just counting nostril hairs of the double pyramid, there are 6 vertices, 8 planes, and 12 edges (or pathways through which the 6 travels anyone?). Which brings us back to the 20 you mentioned, since the next number in this exponentially expanding sequence that started with 6 would be 20. Unicursal sequence?
As you say, it could be a mathematical mental excersice, it could be a dream, but you never know 😉