Chart  Homepage  Notations  Please Note: Only those links — words and numbers –highlighted in yellow are active.
0  1  2  3  4  5  6  7 8 9101112131415161718192021222324252627282930313233343536373839
40414243444546474849505152535455565758596061626364656667686970717273747576777879
80  81  82  83  84  85  86  87  88  89  90  91  92  93  94  95  96  97  9899100101102103104105106107108109
110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139
140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169
170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199
200201202Originating document
A Study Of Notation #6 (still rough notes)
Extending piandEuler’s equations, and projective, Euclidean, and icosahedral geometries
The sixth doubling

The sixth doubling

The sixth doubling

The sixth doubling

Scaling

3.450342×10^{−42} (s) 
1.034304×10^{33}m 
1.392941×10^{6}.(kg) 
1.200349×10^{16}.(C) 
32,768 to 262,144 
Observation: The number 6, often understood as three times two, is the sixth doubling of the Planck numbers and within this system of numbers, geometries, and formulas. The question is asked, “What happens within a notation if it is divisible by other notations? Does it have any special relation with Notation #2 and Notation #3?”
Planck unit doubles. Is it meaningful to say that 1.03×10^{33 }meters is X times larger than the Planck Length? Does this notation help to stabilize all the different structures that have begun to emerge? With an abundance of pointfree vertices with which to make rather idealized constructions, what could possibly be going on at this juncture?
More to come: 16 December 2017
 Spheres:
 Projective geometries:
 Euclidean geometries:
 Simple doublings at Notation 4:
 Pentastars, tetrahedral rings, tetrahedral systems & the icosahedral phase:
 Simple doublings at Notation 6:
Endnotes
ROLLOVER MATERIALS TO BE INCORPORATED OR DELETED:
Within the next primenumber notation are the grounds for another dimension of mathematics
Langlands, Barrows, Penrose, Rees, Wilczek (and so many others) “How would this group envision a logical construction path and its modalities?”
Observation:
Hypothesis:
Questions abound:
Explanation:
Diophantine geometry
“We use nonabelian fundamental groups to define a sequence of higher reciprocity maps on the adelic points of a variety over a number field satisfying certain conditions in Galois cohomology. The nonabelian reciprocity law then states that the global points are contained in the kernel of all the reciprocity maps.”
HasseMinkowski theorem
rec^{ab}(F×) = 0.