Public training set -- caa06a1f (313/400): period-2 examples, ambiguous period-3 challenge

[mcint]

Task

• 313 (caa06a1f)

Rationale

The received solution operation is, or is equivalent to, "shift left once, tile the pattern".

On the examples given, all 2-periodic tilings, two other equally correct descriptive solutions include:

• shift up once, tile the pattern
• invert the colors (shift +1 mod period), tile the pattern. (No clear, unique interpretation in 3-periodic colors & tiling)

The symmetry of the single color zones to be filled in the examples, and the anisotropy of the period-3 tiled challenge, leaves no unique solution.

Solution, received

Received solution, shift left 1 & tile:

Solution, alternative generalization same description length

Equally valid, shift up 1 & tile:

Resolution options

Options include

• Change 1 demo example to a non period-2 shift, e.g. period-4, so that shift left 1 can be distinguished from other equally simple, valid solutions.
• Change solution base pattern: use diagonal lines for the 3-period tiling, which resolves the ambiguity by making "shift up 1" and "shift left 1" equivalent.