963.00 First Power: One Dimension

963.01 In conventional XYZ coordination, one-dimensionality is identified geometrically with linear pointal frequency. The linear measure is the first power, or the edge of the square face of a cube.

963.02 In synergetics, the first-power linear measure is the radius of the sphere.

963.10 Synergetics Constant: The synergetics constant was evolved to convert third-power, volumetric evaluation from a cubical to a tetrahedral base and to employ the ABCD-four-dimensional system’s vector as the linear computational input. In the case of the cube this is the diagonal of the cube’s square face. Other power values are shown in Table 963.10. We have to find the total vector powers involved in the calculation. In synergetics we are always dealing in energy content: when vector edges double together in quadrivalence or octavalence, the energy content doubles and fourfolds, respectively. When the vector edges are half-doubled together, as in the icosahedron phase of the jitterbug halfway between the vector equilibrium 20 and the octahedron compression to fourfold and fivefold contraction with the vectors only doubled, we can understand that the volume of energy in the icosahedron (which is probably the same 20 as that of the vector equilibrium) is just compressed. (See Secs. 982.45 and 982.54.)

963.11 In Einstein’s E =Mc², M is volume-to-spherical-wave ratio of the system considered. Mass is the integration of relative weight and volume. What Einstein saw was that the weight in the weight-to-volume ratio, i.e., the Mass, could be reduced and still be interpreted as the latent energy-per-volume ratio. Einstein’s M is partly identified with volume and partly with relative energy compactment within that spherical wave’s volume. There are then relative energy-of-reality concentration-modifiers of the volumes arrived at by third powering.

963.12 All of the frozen volumetric and superficial area mensuration of the past has been derived exclusively from the external linear dimensions. Synergetics starts system mensuration at the system center and, employing omni-60-degree angular coordinates, expresses the omni-equal, radial and chordal, modular linear subdivisions in “frequency” of module subdivisioning of those radii and chords, which method of mensuration exactly accommodates both gravitational (coherence) and radiational (expansion) calculations. As the length of the vectors represents given mass-times-velocity, the energy involvements are inherent in the isotropic vector matrix.

SYNERGETICS CONSTANT

E

££ o

-7?

g

0

ill

q _c

01= §

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-8-* .2-= o S

TETRAXIDECAHEDRON

(Tetraxidec. 1)

Lord Kelvins all-space solid. 8 square, V=cdgc <Rational

8 hexagonal faces. Dymaxion+1% 96.0000

Octa “total 1J4 Dy maxion.

rag

>8Si

!§

Ills

z

o

C5

Q

W 3

5 g

M &

Q 3

Q£i

ei

Table 963.10 Dymaxion Energetic Geometry, 1950

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963.13 Synergetics is a priori nuclear; it begins at the center, the center of the always centrally observing observer. The centrally observing observer asks progressively, “What goes on around here?”