![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUVoL1ics6Tb8dyZONBtWad7QIOrv2b6B309DMZwNj22-n5CM0Mt4FB_VtbMv2UrQIbqn5e4ow3KOSFjbT8NzU6QgxV9DK9ExXVixL7wo5XxOZsLlSXhQTai6u_ZjH2x1XW-zGY8F-v_mT/s1600/image199.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEMBNWxgulF3vnoLr1IbkGrZlkkr7-m81-xSME62lKpK9Q_4Y1oRzkbPMs5KOf4sEuxmagAvlnbNPM8FDENNt8fKaXbPLTxxo3_7EcpKMyybcKYHE3vgLUBa5OSG01Y2YCJAOkg_EhWuFx/s1600/image201.png)
Interestingly if you rotate the board
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMrB_vzCSK8am_-gghvtQofabW-PR7KU_I92bHyURb_cLlN1DIPOwcktqa8K1Uezl5Qvr45wFX74wRzmGrlN3mwdQLfpFfvOsIYka7gkFM44Q16wujeoqt3dVSJRm9G_S8jQsPbEDB9Aaw/s1600/image202.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifIImxyCvL8UBE3woEXIbmeqbxwPcIvsi7hyphenhypheng3hZ3u_Q2OW5FKLnJhKDFMDR80d0lS1h8MGa9wKVa-qRhzUvFV2CD-81ciDEInLSpdpU3VDYG26Yc3UhlElbfqAn43eMhcihFp6Aks2S2v/s1600/image204.png)
The hands
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIh9t64fqVc_YjLuzuQkX9rsK6BGcAV2iQXsyTJJOIS6CIkapr402SHJFh2Zv9T94uiRR45odwaq_BB0hsvVxjtGcz3XtnGmYJMeuyfzJhpG9qMNdZkz-xlnhYc45bL4TGkTuk1J5_34-v/s1600/image206.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgELvl1bkM12M9uYhc6959PbaxoBQ0dOdmtl6I9szl0cro3pQLD9bN-8LSXRsEKzlY1FAKswne-uFw2QoYUWjY3VohPIjGoSAj5NrI8Vq86FXWSBCdD9_qJO8Bokb_C5YgmDrYz26x9RrQK/s1600/image208.png)
Rotating the board never changes how many counters there are on the board.
When wildholders are added to the game then
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKwURX_V0JPo4WhHDExXmnC7GoZ0FoqHMjdRj6lvy4ZpV-I_GrLRnq1bDp72BOEgg1GW-FabDjsiNUqk24LGk1gt66ZaoIIQ-zdptDGv8D9xmaZ1do-CMtpI78TA0wgWD5SJwcoLE1Mphi/s1600/image210.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbuX_9zYBC5RsPpn3ERNuJgF9qYxhB8qbhqiWrsLrO1Tr2ZF06ry-wdLd54ooN7VWsQiuDp9vryFuKcDC5SK0S6qWCxb8UV_KMAO5TOieL9val-cljrQwngxDhAHEtgx9owHnzWabRc3Nf/s1600/image212.png)
For numbers we write 4 x 7 for four Sevens, but in wildcards we write 4x or xy since an x in 4 x x or x x y may be confused with a wildcard or wildholder symbol.
In recording 4 x 7 = 7 x 4 and xy = yx
In maths this is known as the commutative law of multiplication.
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