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 #8 (still rough notes)
Extending piandEuler’s equations, and projective, Euclidean, icosahedral and Riemannian geometries
The eighth doubling

The eighth doubling

The eighth doubling

The eighth doubling

Scaling

1.380111×10^{41.}s 
4.13747×10^{33.}m 
5.57186×10^{6}.(kg) 
4.801525×10^{16}.(C) 
2,097,152 to 16,777,216 
Observation: The number 8, often understood as 2 times 2 times 2, is the eighth doubling of the Planck numbers; and within this system of numbers, geometries, and formulas, the question is asked, “What happens within a notation that is divisible by other notations? Does it have any special relation with Notation #2 and #4?”
Planck unit doubles. Is it meaningful to say that 4.13×10^{33 }meters is eight 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.
 Spheres:
 Projective geometries:
 Euclidean geometries:
 Simple doublings at Notation 4:
 Pentastars, tetrahedral rings, tetrahedral systems & the icosahedral phase:
 Simple doublings at Notation 6
More to come…. 16 December 2017