Smooth convex polyiamonds

In this paper, we present an explicit formula for the generating function that enumerates smooth convex polyiamonds with perimeter n. In particular, we show that the number of such polyiamonds grows at a rate given by 2.54442495 ⋯.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-11-19
DOI
https://doi.org/10.1051/ita/2025015/pdf
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Smooth convex polyiamonds

Springer Link (Chiba Institute of Technology)
Advanced Combinatorial Mathematics
article

Smooth convex polyiamonds

article en

Abstract

In this paper, we present an explicit formula for the generating function that enumerates smooth convex polyiamonds with perimeter n. In particular, we show that the number of such polyiamonds grows at a rate given by 2.54442495 ⋯.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 25%
Advanced Combinatorial Mathematics
DOISourceOpenAlex
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Smooth convex polyiamonds · Springer Link (Chiba Institute of Technology) (2025) | TGRS Research Map | TGRS