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**5. The pattern of interior &
vertex angles in 8 sectors of the 8 triacontagons matches the yod population
of the (7+7) Type B polygons**

The yod population of the (7+7) Type B polygons matches the sum of interior & vertex angles of a sector in the 8 triacontagons in the E _{8} Coxeter projection
of the 4_{21} polytope. |

The 8 triacontagons in the E_{8} Coxeter plane projection of the 4_{21}
polytope consist of two sets of 4 (shown coloured red & blue). Each set of 120 vertices is the Coxeter plane
projection of a 600-cell. If we consider a representative sector in each triacontagon, the sum of the base angles
in either set =4×**168** = 672° and the sum of the vertex angles = 4×12 = **48°**. The sum of the angles of a
sector in each set = 720°. The sum of the angles of the 8 representative sectors = 720° + 720° = 1440° = **48°**
+ 672° + **48°** + 672°. Compare this with the yod population of the (7+7) separate Type B polygon: Surrounding
the centre of a Type B n-gon are **15**n yods. Surrounding the centres of each set of 7 Type B polygons are
**48** corners and (**48**×14=672) yods, i.e., 720 yods in all. The correspondence indicates that a
yod denotes a single degree; the **48** corners of each set of polygons denote the **48** degrees in the sum
of the vertex angles of the 4 representative sectors in each set of 4 triacontagons, whilst the 672 yods
denote the sum of their base angles. The red triangle, square, pentagon & dodecagon have 24 corners and 336
other yods, as do the blue hexagon, octagon & decagon. The 360 yods in each subset of polygons symbolise the
360 degrees of a circle, corresponding to two sectors. One set of 7 polygons corresponds to the representative
sectors in one set of 4 triacontagons associated with one 600-cell and the other set corresponds to the second
600-cell. In terms of angles, the two halves express revolutions of (2+2) full circles.

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