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13. Square representations of some parameters of the 4_{21} polytope
Weighted with the Tetrad (4), the 60 yods surrounding the centre of the Type B square generate the number of vertices in the 4_{21} polytope. A 
Weighted with the number value 280 of Sandalphon, the Archangel of Malkuth, the 60 yods surrounded the centre of the Type B square generate the superstring structural parameter 16800. B 
C




D 
E 
F 
×Figure A
Sixty yods surround the centre of the Type B square. Weighted with
the Tetrad, whose geometrical symbol is the square, they generate the number 240. This is the number of vertices in
the 4_{21} polytope. As the geometrical symbol of the Tetrad (4), the square implements par
excellence the Tetrad Principle governing parameters of holistic systems.
Figure B
Weighted with the number value 280 of
Sandalphon, the Archangel of Malkuth, the Type B square generates the number 16800. This is the number of
turns in the 10 helical whorls of the UPA, the subquark state of the E_{8}×E_{8} heterotic
superstring.
Figure C
The Type B square generates the number of edges of the 4_{21} polytope when the number value
112 of Beni Elohim, the Order of Angels assigned to Hod, is the weight of the 60
yods surrounding its centre.
Figure D
Twentyfour yods (=4!) surround the centre of the Type A square.
With each yod weighted with the Decad (10) as the sum of the first four integers, the 24 yods generate the number
240. This is the number of vertices of the 4_{21} polytope.
Figure E
The Type C square has 169 yods. Weighted with the Decad, the 168 yods surrounding its centre
generate the number 1680 as the number of turns in each helical whorl of the UPA/subquark state of the
E_{8}×E_{8} heterotic superstring.
Figure F
As we found earlier, (8×1680=28×480) hexagonal yods line the 6720
edges of the 4_{21} polytope. (36×1680=126×480) hexagonal yods are at the centres of
its faces and (4×1680=14×480) hexagonal yods are at the centres of its internal tetractyses. Hence,
(126+14=140)×480 hexagonal yods are at centres of tetractyses, where 140 is
the number value of Melekim, the Order of Angels assigned to Tiphareth. The former can be represented by
the 28 yods either lining the sides of the Type C square or at corners of tetractyses; the latter can be
represented by the remaining 140 hexagonal yods.
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