heptagonal$34762$ - meaning and definition. What is heptagonal$34762$
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What (who) is heptagonal$34762$ - definition

POLYGONAL NUMBER
Heptagonal numbers; Generalized heptagonal number
  • The first five heptagonal numbers.

Heptagonal number         
A heptagonal number is a figurate number that is constructed by combining heptagons with ascending size. The n-th heptagonal number is given by the formula
Heptagonal tiling         
  • The symmetry group of the heptagonal tiling has fundamental domain the (2,3,7) [[Schwarz triangle]], which yields this tiling.
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TILING OF THE HYPERBOLIC PLANE
Order-3 heptagonal tiling
In geometry, a heptagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {7,3}, having three regular heptagons around each vertex.
Truncated heptagonal tiling         
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Truncated order-3 heptagonal tiling; Order-3 truncated heptagonal tiling
In geometry, the truncated heptagonal tiling is a semiregular tiling of the hyperbolic plane. There are one triangle and two tetradecagons on each vertex.

Wikipedia

Heptagonal number

A heptagonal number is a figurate number that is constructed by combining heptagons with ascending size. The n-th heptagonal number is given by the formula

H n = 5 n 2 3 n 2 {\displaystyle H_{n}={\frac {5n^{2}-3n}{2}}} .

The first few heptagonal numbers are:

0, 1, 7, 18, 34, 55, 81, 112, 148, 189, 235, 286, 342, 403, 469, 540, 616, 697, 783, 874, 970, 1071, 1177, 1288, 1404, 1525, 1651, 1782, … (sequence A000566 in the OEIS)