Table 3: Linkage matrices for the left 2-4-2 Adinkra shown in Figure 3. The linkage matrices for the right Adinkra in that figure are obtained from these by changing the sign of 𝑢 3 and 𝑑 3 .
𝑢 1 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 1 1 0 0 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ 𝑑 1 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 0 0 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠
𝑢 2 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 1 − 1 0 0 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ 𝑑 2 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 0 0 − 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠
𝑢 3 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ − 1 − 1 0 0 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ 𝑑 3 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 0 0 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠
𝑢 4 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ − 1 1 0 0 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ 𝑑 4 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 0 0 − 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠