Glass Bead Game rule worksheet (trinary)

key:

beaddigit
0
1
2

t-1
t-2
t-3
t-4
t-5
t-6
t-7
t-8
t-9
t-10
t-11
t-12
t-13
t-14
t-15
t-16
t-17
t-18
t-19
t-20
t-21
t-22
t-23
t-24
t-25
t-26
t-27

trinary columns
7,625,597,484,987 2,541,865,828,329 847,288,609,443 282,429,536,481 94,143,178,827 31,381,059,609 10,460,353,203 3,486,784,401 1,162,261,467 387,420,489 129,140,163 43,046,721 14,348,907 4,782,969 1,594,323 531,441 177,147 19,683 6,561 2,187 729 243 81 27 9 3 1
t-1 t-2 t-3 t-4 t-5 t-6 t-7 t-8 t-9 t-10 t-11 t-12 t-13 t-14 t-15 t-16 t-17 t-18 t-19 t-20 t-21 t-22 t-23 t-24 t-25 t-26 t-27

trinary

decimal

Example

"If both neighbors are the same color become that color, otherwise stay the same."

t-1
t-2
t-3
t-4
t-5
t-6
t-7
t-8
t-9
t-10
t-11
t-12
t-13
t-14
t-15
t-16
t-17
t-18
t-19
t-20
t-21
t-22
t-23
t-24
t-25
t-26
t-27

trinary columns
7,625,597,484,987 2,541,865,828,329 847,288,609,443 282,429,536,481 94,143,178,827 31,381,059,609 10,460,353,203 3,486,784,401 1,162,261,467 387,420,489 129,140,163 43,046,721 14,348,907 4,782,969 1,594,323 531,441 177,147 19,683 6,561 2,187 729 243 81 27 9 3 1
t-1 t-2 t-3 t-4 t-5 t-6 t-7 t-8 t-9 t-10 t-11 t-12 t-13 t-14 t-15 t-16 t-17 t-18 t-19 t-20 t-21 t-22 t-23 t-24 t-25 t-26 t-27
0 0 0 0 1 1 0 2 2 0 1 0 1 1 1 2 1 2 0 0 2 1 1 2 2 2 2

94,143,178,827 + 31,381,059,609 + 2*3,486,784,401 + 2*1,162,261,46 + 129,140,163 + 14,348,907 + 4,782,969 + 1,594,323 + 2*531,441 + 177,147 + 2*19,683 + 2*729 + 243 + 81 + 2*27 + 2*9 + 2*3 + 2*1

trinary
000011022010111212002112222

decimal
132,881,407,149

Mon Mar 20 23:52:09 PDT 2023