[r6r6]

My geo-numerical torus derived from four, abstract lines/levels that transpose as four abstract --and broken--- great circles.

1 outer line/level peak of positive shaped curvature of Space { Gravitational--graviton{s} }
-
1 inside line/level as peak of sine-wave topology
1 inside line/level as peak of sine-wave topology
-
1 inner line/level as peak of negative shaped curvature of Space { Dark Energy--darkion{s} }
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Pi-Time value 66.4 is approximated via the following;

168-radii = 65.97 34 4 46 via 84 invgainations and 42 great circle/cycle/loops around tube --smaller radius value--- not the whole torus ---larger radius value---.
..this is closet we come to 66.4 { Pi-Time } as derived from,
.... Pi^4{ 97.4 }, minus XYZ/3D 31{ Pi^3 = 31. 00 62 '7' 66 }
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**31.00 62 '7' 66 = Pi^3 { XYZ/3D } aka cubing or triangulating
**24.35 22 '7' 27 = Pi^4 / 4 { renormalization i.e. making Pi-Time 3D
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***9.42 47 7 '7' 8 === 24-radii via 3 geodesic circles/cycles/loops
**10.99 55 '7' 41 == 28-radii via 7 circles/cycles/loops
**51.83 62 '7' 79 = 132-radii via 33 circles/cycles/loops
**53.40 70 '7' 42 = 136-radii via 34 circles/cycles/loops
**54.97 78 '7' 05 = 140-radii via 35 circles/cycles/loops
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#7 falls in 6th overall position or 5th irrational

*12.56 77 0 4 ===32 radii via 8 circles/cycle/loops
*17.27 87 5 93 == 44-radii via 11 circles/cycles/loops
*25.13 27 4 08 == 64 radii via 16 circles/cycles/loops
*32.98 67 2 23 == 84 radii via 21circles/cycles/loops
*40.84 07 0 38 = 104-radii via 26 circles/cycles/loops
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#7 falls in 5th overall position or 4th irrational

*1.57 07 9 63 26 79 48 9 66 = 4-radii via two Pi-based invaginations/inversions ergo one circle/cycle/loop
*14.13 71 6 67 = 36-radii via 9 circles/cycles/loops
*15.70 79 6 3 == 40-radii via 10 circles/cycles/loops
*34.55 75 1 86 = 88-radii via 22 circles/cycles/loops
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I list the following because they are close to a whole rational value { to Fuller significant } or interesting for other reasons

Pi derived value.....# of radii.........# of inversions/invaginations...# of circles/cycles/loops..
...v...............................v.............. ........v......................................... ..................v

3.14 15 9 26 = 8 radii ergo 4 Pi-based invaginations via 2 circles/cycles/loops

21.99 11 4 82 = 56-radii ergo 28 invaginations/inversions via 14 great circles/cycles/loops

28.27 43 3 34 = 72-radii = ergo 9 invaginations/inverions via 18 circles/cycles/loops

36.12 83 1 49 = 92-radii ergo 46 invaginations/inversions via 23 circles/cycles/loops

43.98 22 9 64 = 112-radii ergo 72 invaginations/inversions via 28 circles/cycles/loops

45.55 30 9 27 = 116-radii ergo 54 invaginations/inverions via 29 circles/cycles/loops

47.12 38 8 9 = 120-radii ergo 60 invaginations/inverions via 30 circles/cycles/loops
....60 left and 60 right right-angle triangles on surface of 5{phi}-fold icosa{20}hedron....

58.11 94 6 31 = 148 radii ergo 74 inversions/invagination via 37 circles/cycles/loops

69.11 50 3 72 = 176 radii ergo 88 inversions/invagination via 44 circles/cycles/loops