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A271509
List of 5-tuples: 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
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 5-tuple is (s1, s2, s3, s4, s5) with s1 = s2 = s3 = s4 = c and s5 = 2*(b-a). See illustration in the links.
LINKS
David Bailey's World of Escher-like Tessellations, Stick Cross Method
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
KEYWORD
nonn,tabf
AUTHOR
Kival Ngaokrajang, Apr 09 2016
STATUS
approved