07-22-2010, 03:13 PM
(07-22-2010, 11:51 AM)βαθμιαίος Wrote: Yes, I know 3/14 is considered pi day, but 7/22 is a better approximation. So happy pi day, v.2!
Don't mean to burst your pi pie but they're actually the same in terms of approximation because 22/7 is 3.142857... so it's only good to two decimal places since pi is 3.14159...
From what I've read on the day, Europeans celebrate it on 7/22 because they tend to put the day before the month whereas in North America we put the month first, so our pi day for them would look like 14/3 and thus wouldn't be very pi-like, hehe. For them 22/7, even though a fractional approximation, is actually their best way of representing it.
Quote:As students of the Law of One, I wonder if we might also consider calling this "archetype day," because maybe there's a relationship between the 22 archetypes, 7 each of mind, body, and spirit, and pi (~22/7).
In this case, I would vote that it be March 8th, because March 7 is 3/7 (3x7 archetypes) plus 1 (The Fool/Choice) would make 3/7 become 3/8
Quote:In the context of the archetypes, Ra mentions the ankh, or crux ansata, several times. They say it contains mathematical relationships in coded form (55.14). Surely one of those relationships is the relationship between the circumference of a circle and its diameter, and maybe that's hinting at the relationship between the archetypes (22.) and the densities (7).
It IS quite interesting to me that the closest fractional approximation for pi is 22/7 which is another way of saying 3 and 1/7 (3x7 archetypes plus Choice). I haven't really looked into the ankh and its ratios but I have with the relationship between the Major Arcana and pi, so here's the brief explanation of my findings thus far.
Another way of seeing the makeup of a circle is to consider it in terms of "pi radians". For those who aren't familiar, a radian is an alternative way of measuring angles in a circle (instead of degrees) and is about equal to 57.2957 degrees. It's found by making a section where the arc length of the circle is the same length as the radius of the circle.
So what's the big deal with radians? Well, a circle is made up 6.28 radians, or in other words two pi radians because 6.28/2 = 3.14 = pi
The hexagon is the first regular polygon where it's radius is equal in length to its outer edges....a pentagon has larger edge vs. radius and a heptagon has a larger radius vs. edge, but the hexagon sits smack dab in the middle of them and has a perfect 1:1 ratio:
This relationship is seen by placing 6 circles around a center one of equal size and a variant on that idea is of overlapping circles such as in the "seed of life":
Considering all of the above we can see that a radian is just 2.7042 (60 - 57.2957) degrees smaller in its internal angles than one of the 6 equilateral triangles in the hexagon, and this is why there is the extra 0.28 in 6.28 radians of a circle.
The hexagon is a natural construction of circles, but what's so interesting about it is that it contains a central of equal size circle by default, and as explained above it's the only regular shape that can do so (5 circles could only fit perfectly around a smaller inner circle and 7 circles could only fit perfectly around a larger inner circle). Another interesting thing to consider is that 6 is the first "perfect" number and these are quite rare; perfect number being one whose divisors (except the number itself) add up the number, so for 6 this would be 1+2+3, the next perfect number being 28 with 1+2+4+7+14 = 28. Also, 6 is both 1+2+3 and 1x2x3...
Anyway, my main point in all of this is that the perfect ratio relationships of the hexagon are a kind of geometric constant of the universe (like pi), and I believe that this relates to the nature of Logos in that 7th density is the source of all the other densities and could be seen to revolve around it as in a hexagon made of circles. Also, in this light, in terms of chakras the 7th exists as a summary of the balances between the main 6 below it and so is similar to the stationary middle circle. This is also, IMhO, a reflection of the sevens seen throughout not only the Ra material but also so many other mystical/spiritual systems, 7 is cosmological number.
The archetypal mind is a natural part of the Logos and from what Ra says the most advanced and widely used system is that of the Major Arcana with 3 groups of 7 (or 7 groups of 3) which all tie into the 22nd Fool/Choice archetype. So, it's interesting that the circle, which naturally contains the Logoic hexagon (and thus the hidden 7), has the pi ratio inherent to it and pi's simplest fractional approximation is 22/7 which relates to the archetypes.
I hope that isn't too confusing. I know a lot of people are math-phobic (me too, to a certain extent) but it really is crucial to understanding the relationships that we see all around us
/:idea: