DocPtah wrote:Blue Jay... this is friggin' cool!
It does, however, raise the question: What is the significance of the three "imaginary" points? Clearly, they connect the two tetrahedrons... but how to visualize this... how to incorporate these three numbers (3, 9, and 15) into the geometry!
Meanwhile, it's time for some links to here!
DocPtah wrote:It must be a Sunday; else why would I be using Geomags to duplicate this drawing in 3D?
DocPtah wrote:Still, the process may have had its rewards. I did notice, for example, something -- which may or may not have been known to BlueJayWay (but who did NOT draw lines to connect the appropriate dots) -- is that the 3 and 15 connect to mid-points in the blue and red tetrahedrons in the following manner:
3 + 7 + 17 = 27
3 + 11 + 13 = 27
15 + 11 + 1 = 27
15 + 7 + 5 = 27
(Each mid point is actually combined twice, with 1 + 17, 5 + 13 being combined with 9 to, of course, yield 27.)
DocPtah wrote:Accordingly, it might appear that this yields 4 tetrahedrons with possibly 9 as a focal point.
Admittedly, one could also add 8 (BV) + 6 (RV) + 13 (MP) to yield 27... as well as 12 (BV) + 16 (RV) + 5 (MP) to yield 27... but then again there are roughly eight combinations for any given number (nine if zero is included).
BTW, there are four (and only four) "doubles": 10 + 17, 11 + 15, 12 + 15, and 13 + 14... all of which add to 27. But with only four "sides", they are insufficient for a fifth tetrahedron (even including "0" in the mixes). On the other hand, BlueJayWay's suggested additional imaginary number might be 18, that would combine with 9 for the fifth side of a fifth tetrahedron.
Obviously, my college minor in addition is paying off. Now if I just figure out what it means!
DocPtah wrote:Thanks Forseen for your application of nines in geometry. Not sure just how this relates to a date, but perhaps it's time for a new thread on the fascinating topic of nines.
I might mention in passing, however, that Nines are discussed in some detail in the main website, including the role of nines in the solar system. For example, the diameter of the Moon is 2,160 miles. AND the diameter of the Earth is roughly 11/3 of that of the Moon.
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