Domino

By systematically cataloging all visible dominoes in the image and comparing against the complete set of 28 unique domino pairs (0-0 through 6-6), the domino [4, 6] is the only one not present. All other 27 combinations are accounted for in the grid.

A full double-six set contains 28 tiles. By cataloging the 27 tiles present in the image: [1,6], [2,2], [4,6], [3,4], [0,0], [0,1], [2,4], [0,5], [1,2], [2,3], [4,4], [6,6], [0,6], [0,3], [1,4], [2,6], [3,5], [5,6], [0,2], [1,3], [2,5], [3,6], [3,3], [1,1], [4,5], [5,5], [1,5]. The missing tile is the blank and four [0, 4].

The image contains 27 dominoes. A standard double-six domino set has 28 tiles representing every possible pair of numbers from 0 to 6. By examining the given dominoes, we can identify the missing tile by checking the presence of all possible combinations. Upon reviewing the image, it’s evident that the domino [0, 0] is missing.

I systematically catalogued all 27 dominoes visible in the image and compared them against the full set of 28 dominoes in a standard double-six set. After identifying each tile’s values, the domino [0,3] (blank-three) was not found among the 27 tiles shown.

After identifying the 27 visible tiles and comparing them to the full double-six set, the only missing tile is the one with 4 and 6.

By counting the occurrences of each number across all halves of the 27 dominoes, numbers 0,1,3,4,5 appear 8 times each, while 2 and 6 appear 7 times each, indicating the missing domino connects 2 and 6.

After systematically analyzing the image to identify all 27 dominoes present, I cataloged the visible tiles including: [0|0], [0|1], [0|2], [0|3], [0|4], [0|5], [1|1], [1|2], [1|3], [1|5], [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], [1|6] is not clearly visible, and [0|6] is absent. Counting the occurrences of each number from 0-6 across all dominoes, the number 6 appears in [4|6], [5|6], [6|6], [2|6], [3|6], [1|6] - wait, actually [1|6] is present in the set. The number 0 appears in [0|0], [0|1], [0|2], [0|3], [0|4], [0|5] but [0|6] is the only 0-pip domino not found in the image. Similarly, checking the 6-pip dominoes, all are present except [0|6] when cross-referenced with the 0-pip dominoes. The domino [0|6] (blank on one side, six dots on the other) is the only tile missing from the complete standard double-six set.