Where is the 5?

The four faces additively cascade 32 four-times triangular numbers (oeis.org/A046092). These include Fibo1-3 equivalent 112 (rooted in T7 = 28; 28 x 4 = 112), and 2112 (rooted in T32 = 528; 528 x 4 = 2112), which is the index number of 1000th prime.

π(10) = 4

-----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th
=======================+====+====+====+====+====+====+====+====+====+=====
↓
|
↓
114-89=139-114=25=5x5
|
|                              ----------- 5 -----------
|                             |                         |
↓                             ↑                         ↓
|   mapping    |     feeding     |  lexering    |  parsering   |   syntaxing   |  grammaring  |
|------------- 36' --------------|----------------------------36' ----------------------------|
|     19'      |        17'      |      13'     |      11'     |       7'      |       5'     |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
|  1 |  2 |  3 | 4 |  5 |  6 | 7 | 8 |  9 |  10 | 11 | 12 | 13 | 14 | 15 |  16 | 17 | 18 | 19 |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
|  2 | 60 | 40 | 1 | 30 | 30 | 5 | 1 | 30 | 200 |  8 | 40 | 50 |  1 | 30 | 200 |  8 | 10 | 40 |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
↓                             ↑                         ↓
|                             |                         |
------------ 10 -------------                          |
|
|
-----------------------+----+----+----+----+----+----+----+----+----+-----           |
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum             |
=======================+====+====+====+====+====+====+====+====+====+=====            ↓
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  ◄- 4 =  π(10)
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th
=======================+====+====+====+====+====+====+====+====+====+=====