Extending a pattern is easy. Simply identify the pattern and ensure it keeps repeating. For example, if the sequence is 2, 4, 6, 8, and 10, it is easy to see that the numbers are increasing by 2 each time. The pattern would extend to 12, 14, 16, 18, 20 and so on infinitely.
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It is a pattern in which the tessera - individual tiles - need to be placed so as to cover a plane without gaps or overlaps.
Infinitely many, since otherwise it could be a pattern that eventually breaks down and so not a pattern.