

A271509


List of 5tuples: primitive integral pentagon sides in Cairo tiling.


1



5, 5, 5, 5, 2, 13, 13, 13, 13, 14, 17, 17, 17, 17, 14, 25, 25, 25, 25, 34, 29, 29, 29, 29, 2, 37, 37, 37, 37, 46, 41, 41, 41, 41, 62, 53, 53, 53, 53, 34, 61, 61, 61, 61, 98, 65, 65, 65, 65, 94, 65, 65, 65, 65, 46, 73, 73, 73, 73, 14
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OFFSET

1,1


COMMENTS

Refer to Cairo tiling by Stick Cross Method (see details in the links). Each pentagon has four sides of equal length and one side which is either shorter or longer. All sides can be taken to have integral lengths related to primitive Pythagorean triples A103606.
If Pythagorean triple = (a, b, c), the 5tuple is (s1, s2, s3, s4, s5) with s1 = s2 = s3 = s4 = c and s5 = 2*(ba). See illustration in the links.


LINKS

Table of n, a(n) for n=1..60.
David Bailey's World of Escherlike Tessellations, Stick Cross Method
Kival Ngaokrajang, Illustration of initial terms, Excel calculation sheet
Wikipedia, Cairo pentagonal tiling


EXAMPLE

List begins:
5, 5, 5, 5, 2,
13, 13, 13, 13, 14,
17, 17, 17, 17, 14,
25, 25, 25, 25, 34,
29, 29, 29, 29, 2,
...


CROSSREFS

Cf. A103606.
Sequence in context: A083945 A125563 A093704 * A269626 A269268 A112110
Adjacent sequences: A271506 A271507 A271508 * A271510 A271511 A271512


KEYWORD

nonn,tabf


AUTHOR

Kival Ngaokrajang, Apr 09 2016


STATUS

approved



