453.00 Vector Equilibrium: Basic Equilibrium LCD Triangle
453.01 The system of 25 great circles of the vector equilibrium defines its own lowest common multiple spherical triangle, whose surface is exactly th of the entire sphere’s surface. Within each of these th-sphere triangles and their boundary arcs are contained and repeated each time all of the unique interpatterning relationships of the 25 great circles. Twenty-four of the 48 triangles’ patternings are “positive” and 24 are “negative,” i.e., mirror-images of one another, which condition is more accurately defined as “inside out” of one another. This inside-outing of the big triangles and each of their contained triangles is experimentally demonstrable by opening any triangle at any one of its vertexes and holding one of its edges while sweeping the other two in a 360-degree circling around the fixed edge to rejoin the triangle with its previous outsideness now inside of it. This is the basic equilibrium LCD triangle; for a discussion of the basic disequilibrium LCD triangle, see Sec. 905 .
image
’ AD ’ 28 16.3”
DE IS 47 3S.S
EG 28 16.3
GH 26 5.6
HC 33 54.4
BC 14 21.8
AB 1 30.0
BD 46 43.3
DC 00 00
DF 18 44.3
EF 12 19.8
EH 18 44.3
FH 2 22.2
K 21 6.5
’ BAD ’ 00 00.0’
ADB 28 55.9
BDC 31 4.1
CDF 31 4.1
EDF 28 55.9
DEF 45 38.2
FEH 28 43.7
HEG 45 38.2
EGH 00 00.0
EHG 27 5.8
EHF 5 48.5
FHC 27 5.8
FCH 14 21.8
DCF 29 46.3
BCD 15 51.8
DBC 00 00.0
ABD 00 00.0
DFE 84 47 2.8
EFH 12 57.2
CFH 84 47 3.8
DFC 12 57.2
Fig-453.01 Great Circles of Vector Equilibrium Define Lowest Common Multiple Triangle: fisth of a Sphere: The shaded triangle is 1Aisth of the entire sphere and is the lowest common denominator (in 24 rights and 24 lefts) of the total spherical surface. The 48 LCD triangles defined by the 25 great circles of the vector equilibrium are grouped together in whole increments to define exactly the spherical surface areas, edges, and vertexes of the spherical tetrahedron, spherical cube, spherical octahedron, and spherical rhombic dodecahedron. The heavy lines are the edges of the four great circles of the vector equilibrium. Included here is the spherical trigonometry data for this lowest-common-denominator triangle of the 25-great-circle hierarchy of the vector equilibrium.
453.02 Inside-Outing of Triangle: The inside-outing transformation of a triangle is usually misidentified as “left vs. right,” or “positive and negative,” or as “existence vs. annihilation” in physics (see drawings section ).
453.03 The inside-outing is four-dimensional and often complex. It functions as complex intro-extroverting.