LC Cutters: Pentagonal tilling

LC C U T T E R S Pentagonal tiling

LC Cutters Polygons sets

LC Cutters Polygons set 1 (1-5)

LC Cutters Polygons set 2 (6-10)

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LC Cutters Polygons set 3 (11-15)

LC Cutters Polygons set 4 (16-20)

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Pentagonal tiling From Wikipedia, the free encyclopedia In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a specific pentagon.

A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108° , is not a divisor of 360° , the angle measure of a whole turn.

Monohedral convex pentagonal tilings Fifteen types of convex pentagons are known to tile the plane monohedrally (i.e. with one type of tile).[1] The most recent one was discovered in 2015. It is not known whether this list is complete.

[2] Bagina (2011) showed that there are only eight edge-to-edge convex types, a result obtained independently by Sugimoto (2012).

Each enumerated tiling family contains pentagons that belong to no other type; however, some individual pentagons may belong to multiple types. In addition, some of the pentagons in the known tiling types also permit alternative tiling patterns beyond the standard tiling exhibited by all members of its type.

Reinhardt (1918) Reinhardt (1918) found the first five types of pentagonal tile. All five can create isohedral tilings, meaning that the symmetries of the tiling can take any tile to any other tile (more formally, the automorphism group acts transitively on the tiles).

Read more source: www.wikipedia.org/wiki/Pentagonal_tiling

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LC CUTTER: Pentagon #1 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #2 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #3 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #4 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #5 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #6 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #7 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #8 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #9 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #10 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #11 Order at LC Store EU or LC Store USA.

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LC CUTTER: Pentagon #16 Order at LC Store EU or LC Store USA.

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