RAMcGough wrote: Thu Mar 12, 2026 7:08 pm
Great work Bill! Do you draw those Koch Snowflake iterations by hand or programmatically?
I do them by hand. I like to roll my sleeves up and get digging, rather than rely on programming.
RAMcGough wrote: Thu Mar 12, 2026 7:08 pm
You are correct it is T(112) but that's really the 38th "generating triangle" in the sense that only triangles T(n) with n = 3k -2 can generate hex/star pairs because they are the only triangles with a circle at the centroid (as I'm sure you know). 112 = 3 x 38 - 2.
Yes, I'm aware of that. Vernon called them G-triangles and I use that nomenclature. Interestingly, although only G-triangles can be taken one or more steps towards a pixellated Koch snowflake, all types will produce trefoils, although again only G-triangles can be taken more than one step towards an antisnowflake. I'll maybe do a post on it later, given the importance of snowflakes and trefoils in the geometric expression of the encoded numbers in G1.1 and J1.1. It's interesting in its own right anyway.
Jesus said that the stone the builders rejected has become the cornerstone and numerical geometry seems to have been given less attention than plane and solid geometry. interestingly, 3627 - 2701 = 926, which, in English, gives
The Cornerstone (s) = 926.
All centred triangles will create hexagrams and trefoils and their own kind of snowflakes. There's an entire world to explore here and I've seen virtually nothing on it anywhere else on the 'net.
RAMcGough wrote: Thu Mar 12, 2026 7:08 pm
Have you found the number 9373 encoded, or just the hex/star pair (469/937) that are used in the equation 9373 = 7x973 + 6X469?
No I haven't, just by inference in triangle 6328 and the Logos star.
RAMcGough wrote: Thu Mar 12, 2026 7:08 pmI find it very interesting that 73 is the largest prime in Genesis 1:1 and 93 is the largest semiprime in the symmetric representation of John 1:1.
Genesis 1:1 = 37 x 73
John 1:1 = 39 x 93
Yes, I noted that myself. I found their product, 6789, somewhere, but I can't recall where now! I'll have a look for it.