Domino

After cataloging all 27 dominoes in the image, the set includes all double-six pairs except for the double-six (6-6) tile. The pairs present are: [5,6], [4,4], [0,2], [0,5], [0,0], [0,1], [3,4], [1,2], [1,4], [4,6], [2,5], [4,5], [1,6], [2,4], [3,6], [3,5], [1,3], [2,3], [6,5], [0,6], [4,5], [0,3], [0,4], [2,6], [2,2], [1,5], and [3,3].

The excluded domino is number 0 and 0

By systematically identifying all visible dominoes in the image and comparing them to the complete set of 28 unique dominoes (all pairs from 0-6), the domino [0, 4] is the only one missing. All other 27 dominoes from the standard double-six set are present in the image.

Let me systematically catalog all dominoes visible in the image. A standard double-six set has 28 tiles. I need to identify each domino and find which one is missing. Looking at the image row by row: Row 1: [3,3], [4,2], [0,1] Row 2: [2,3], [0,0](?), [0,1](?), [2,2], [1,1] Row 3: [1,3], [3,4], [2,4], [3,3](?)... Let me try to list all 28 possible dominoes and check them off: [0,0],[0,1],[0,2],[0,3],[0,4],[0,5],[0,6] [1,1],[1,2],[1,3],[1,4],[1,5],[1,6] [2,2],[2,3],[2,4],[2,5],[2,6] [3,3],[3,4],[3,5],[3,6] [4,4],[4,5],[4,6] [5,5],[5,6] [6,6] After carefully examining the image, I can identify 27 dominoes. The [0,0] blank-blank domino does not appear to be present among the visible tiles.

After identifying and listing all visible dominoes from the image, every tile from the standard double-six set is present except the double six (6-6).

By identifying all 27 visible dominoes and comparing against the complete set of 28 double-six dominoes, I found that [5,6] (or [6,5]) is absent. The set includes: [0,0], [0,1], [0,2], [0,3], [0,4], [0,5], [0,6], [1,1], [1,2], [1,3], [1,4], [1,5], [1,6], [2,2], [2,3], [2,4], [2,5], [2,6], [3,3], [3,4], [3,5], [3,6], [4,4], [4,5], [4,6], [5,5], [6,6]. The only missing tile is [5,6].