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Sections: Convex regulars  Star regulars 
Regular (convex) PolytilesAn even sided regular polygon is 1^p, as a ptile. An odd regular pgon is 2^p, as a 2ptile. Chains of oddsided regular polygons could also be used to define ptiles, but the possibilities are a subset of the even doubled 2ptiles. An even sided regular polygon is 1^p, as a ptile. An odd regular pgon is 2^p, as a 2ptile. Chains of oddsided regular polygons could also be used to define ptiles, but the possibilities are a subset of the even doubled 2ptiles. In general a^b is a regular bgon, as an abtile. A triangle can be a hexatile 2^3, octadecatile 3^3, or 6^3, dodecatile 4^3, etc. A square can be a tetratile 1^4, octatile 2^4, dodecatile 3^4, etc. A regular pentagon is 1^5 or 2^5. A hexagon can be hexatile 1^6, dodecatile 2^6, etc.
Regular (star and compound) PolytilesA regular star polytile is of the form p:a^b, with ab/p turns, and c=gcd(a,p)=1. If c>1, it can be remade into a ccompound as: c*p:a^(b/c). For example a pentagram, {5/2}, is 5:2^5, while a hexagram {6/2} is degenerate, but can be a 2compound: 2{3} or 2*6:2^3.
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