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https://math.stackexchange.com/questions/2807156/how-can-i-prove-this-operation-on-domino-tilings-is-associative

Tohaina

e^{2}eeeeeeeeeeeeeeeeee
Whakareatia te e ki te e, ka e^{2}.
e^{3}eeeeeeeeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.
e^{4}eeeeeeeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 1 kia riro ai te 4.
e^{5}eeeeeeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 1 kia riro ai te 5.
e^{6}eeeeeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te 1 kia riro ai te 6.
e^{7}eeeeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 1 kia riro ai te 7.
e^{8}eeeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 7 me te 1 kia riro ai te 8.
e^{9}eeeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 8 me te 1 kia riro ai te 9.
e^{10}eeeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 1 kia riro ai te 10.
e^{11}eeeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 10 me te 1 kia riro ai te 11.
e^{12}eeeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 11 me te 1 kia riro ai te 12.
e^{13}eeeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 12 me te 1 kia riro ai te 13.
e^{14}eeeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 13 me te 1 kia riro ai te 14.
e^{15}eeeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 14 me te 1 kia riro ai te 15.
e^{16}eeee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 15 me te 1 kia riro ai te 16.
e^{17}eee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 16 me te 1 kia riro ai te 17.
e^{18}ee
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 17 me te 1 kia riro ai te 18.
e^{19}e
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 18 me te 1 kia riro ai te 19.
e^{20}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 19 me te 1 kia riro ai te 20.