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A lower symmetry form has alternating colors, and represented by cyclic symbol {(3,∞,3)}. The tiling also represents the fundamental domains of the [[Iii_symmetry|*∞∞∞ symmetry]], which can be seen with 3 colors of lines representing 3 mirrors of the contruction.
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|[[File:H2checkers_iii.png|
|[[File:Iii_symmetry_mirrors.png|
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