SPHERE volume / area, QUOTiENT = radius / 3 = DiAMETER / 6;
TRiAKiSiCOSAHEDRON volume / area = TiP-to-TiP DiSTANCE / 6;
CUBE volume / area = (EDGELENGTH, or CORNER-to-CORNER) / 6:
Whe..
GUESS pi = (circumference)^2 / SPHERE surface area
= (pi*d1)^2 / pi*d1^2
= (pi)^2*d1^2 / pi*d1^2
= (2*pi)^2*r1^2 / 4*pi*r1^2
= 4*(pi)^2*r1^2 / 4*pi*r1^2
= {(mp / u) - 1} / (ge - 2)
= (2*pi + nA)*h / 2*(h + nA*hbar)
= (pi + 1)*h / (h + 2*hbar)
= a / (ge - 2)
= h / 2*hbar
= a / 2*ae.

brian a m stuckless wrote:
$ Pre-Minkowski, non-GR, "Euclidian" TOPOLOGY.!!
NOT all TOPOLOGY is pre-Minkowski or non-GR "Euclidian".!!
The GR-topology is a POiNT on a WORLDline, in SPACEtime.!!
The GR-topology is a POiNT on a WORLDline but NO iNside.!!
The GR-topology is a POiNT in SPACEtime with NO OUTside.!!
ONLY one GR-point at a TiME (at ONCE), for a topo there.!!

"Volume / surface Area" quotients distinguish Euclidian.!!
[HOWEVER ..ONLY if a STANDARD UNiT SYSTEM is ESTABLiSHED.]

"No edges" distinguish ALL OTHER non-Euclidian topology.!!

Note: The "triakis icosahedral CRYSTAL" core ..attached.!!
[Go Gooogle GROUP SEARCH the GUESS SHAPEfactor 666 ].!!
```Brian


wrote:
-- A coffee-cup shaped manifold and a donut shaped manifold
have the same topology, but I would not say it has the same
underlying "structure" - the characteristic difference being
the difference in curvature almost everywhere.

You need to learn to stop confusing metrics, manifolds,
geometries and learn the differences between them.

Tom Roberts
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[Image] ..see previous POST.