Order 1 tetradecagon is made of 1 layers:
Layer (1,1) requires 1 balls
A total of 1 balls are required (1 sets of 216, $22)

Order 2 tetradecagon is made of 4 layers:
Layer (2,2) requires 7 balls
Layer (2,3) requires 12 balls
Layer (2,3) requires 12 balls
Layer (2,2) requires 7 balls
A total of 38 balls are required (1 sets of 216, $22)

Order 3 tetradecagon is made of 7 layers:
Layer (3,3) requires 19 balls
Layer (3,4) requires 27 balls
Layer (3,5) requires 36 balls
Layer (4,4) requires 37 balls
Layer (3,5) requires 36 balls
Layer (3,4) requires 27 balls
Layer (3,3) requires 19 balls
A total of 201 balls are required (1 sets of 216, $22)

Order 4 tetradecagon is made of 10 layers:
Layer (4,4) requires 37 balls
Layer (4,5) requires 48 balls
Layer (4,6) requires 60 balls
Layer (4,7) requires 73 balls
Layer (5,6) requires 75 balls
Layer (5,6) requires 75 balls
Layer (4,7) requires 73 balls
Layer (4,6) requires 60 balls
Layer (4,5) requires 48 balls
Layer (4,4) requires 37 balls
A total of 586 balls are required (3 sets of 216, $66)

Order 5 tetradecagon is made of 13 layers:
Layer (5,5) requires 61 balls
Layer (5,6) requires 75 balls
Layer (5,7) requires 90 balls
Layer (5,8) requires 106 balls
Layer (5,9) requires 123 balls
Layer (6,8) requires 126 balls
Layer (7,7) requires 127 balls
Layer (6,8) requires 126 balls
Layer (5,9) requires 123 balls
Layer (5,8) requires 106 balls
Layer (5,7) requires 90 balls
Layer (5,6) requires 75 balls
Layer (5,5) requires 61 balls
A total of 1289 balls are required (6 sets of 216, $132)

Order 6 tetradecagon is made of 16 layers:
Layer (6,6) requires 91 balls
Layer (6,7) requires 108 balls
Layer (6,8) requires 126 balls
Layer (6,9) requires 145 balls
Layer (6,10) requires 165 balls
Layer (6,11) requires 186 balls
Layer (7,10) requires 190 balls
Layer (8,9) requires 192 balls
Layer (8,9) requires 192 balls
Layer (7,10) requires 190 balls
Layer (6,11) requires 186 balls
Layer (6,10) requires 165 balls
Layer (6,9) requires 145 balls
Layer (6,8) requires 126 balls
Layer (6,7) requires 108 balls
Layer (6,6) requires 91 balls
A total of 2406 balls are required (12 sets of 216, $264)

Order 7 tetradecagon is made of 19 layers:
Layer (7,7) requires 127 balls
Layer (7,8) requires 147 balls
Layer (7,9) requires 168 balls
Layer (7,10) requires 190 balls
Layer (7,11) requires 213 balls
Layer (7,12) requires 237 balls
Layer (7,13) requires 262 balls
Layer (8,12) requires 267 balls
Layer (9,11) requires 270 balls
Layer (10,10) requires 271 balls
Layer (9,11) requires 270 balls
Layer (8,12) requires 267 balls
Layer (7,13) requires 262 balls
Layer (7,12) requires 237 balls
Layer (7,11) requires 213 balls
Layer (7,10) requires 190 balls
Layer (7,9) requires 168 balls
Layer (7,8) requires 147 balls
Layer (7,7) requires 127 balls
A total of 4033 balls are required (19 sets of 216, $418)

Order 8 tetradecagon is made of 22 layers:
Layer (8,8) requires 169 balls
Layer (8,9) requires 192 balls
Layer (8,10) requires 216 balls
Layer (8,11) requires 241 balls
Layer (8,12) requires 267 balls
Layer (8,13) requires 294 balls
Layer (8,14) requires 322 balls
Layer (8,15) requires 351 balls
Layer (9,14) requires 357 balls
Layer (10,13) requires 361 balls
Layer (11,12) requires 363 balls
Layer (11,12) requires 363 balls
Layer (10,13) requires 361 balls
Layer (9,14) requires 357 balls
Layer (8,15) requires 351 balls
Layer (8,14) requires 322 balls
Layer (8,13) requires 294 balls
Layer (8,12) requires 267 balls
Layer (8,11) requires 241 balls
Layer (8,10) requires 216 balls
Layer (8,9) requires 192 balls
Layer (8,8) requires 169 balls
A total of 6266 balls are required (30 sets of 216, $660)

each additional layer required approximately 50% more balls than the one before it

I currently have 3465 balls, and will be getting 1080 more soon for a total of 4545 balls

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[Process completed]




 3465
-2406 order 6
=====
 1059
- 586 order 4
=====
  473
 -201 order 3
=====
  272
 -201 order 3
=====
   71
  -38 order 2
=====
   33



 3465
-2406 order 6
=====
 1059
- 910 double star
=====
  149


order 4 non truncated octahedron

2x  5 & 6 (70x2)   (6+7+8+9+10+9+8+7+6+5)
2x  4 & 7 (73x2)   (7+8+9+10+9+8+7+6+5+4)
2x  3 & 8 (69x2)   (8+9+10+9+8+7+6+5+4+3)
2x  2 & 9 (63x2)   (9+10+9+8+7+6+5+4+3+2)
2x  2 & 8 (52x2)   (8+9+8+7+6+5+4+3+2)
6x 1 points (3x2)
=========
534 balls total


1x 6 & 6 (91)
2x 5 & 7 (90x2)
2x 4 & 8 (87x2)
2x 3 & 9 (82x2)
2x 2 & 10 (75x2)
2x 2 & 9 (63x2)
6x 1 & 1 (3x2)
=========
891