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Benedict Irwin added section_Ternary_2D_vectors_We__.tex
almost 9 years ago
Commit id: cce5c4dffee95d0bdeea6be34292c1a3a2897a1d
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\section{Ternary 2D vectors}
We can do the same thing for a ternary number expansion for all 2D vectors filled with positive integers less than $9$.
This creates a $9\times 9$ matrix mapping as follows \begin{equation}
\begin{bmatrix}
00 & 01 & 03 & 10 & 11 & 12 & 20 & 21 & 22 \\
03 & 04 & 05 & 13 & 14 & 15 & 23 & 24 & 25 \\
06 & 07 & 08 & 16 & 17 & 18 & 26 & 27 & 28 \\
30 & 31 & 32 & 40 & 41 & 42 & 50 & 51 & 52 \\
33 & 34 & 35 & 43 & 44 & 45 & 53 & 54 & 55 \\
36 & 37 & 38 & 46 & 47 & 48 & 56 & 57 & 58 \\
60 & 61 & 62 & 70 & 71 & 72 & 80 & 81 & 82 \\
63 & 64 & 65 & 73 & 74 & 75 & 83 & 84 & 85 \\
66 & 67 & 68 & 76 & 77 & 78 & 86 & 87 & 88 \\
\end{bmatrix}
\end{equation}
