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The non-periodic tiling that formed by Tile(1,1) without reflection, which ispresented by Smith et al. in [1], can be converted to non-periodic tilings withthree types of pentagons. When arbitrary replacements are excluded, thenon-periodic tilings with three types of pentagons have two patterns.

Converting non-periodic tiling with Tile(1,1) to tilings with three types of pentagons