Smooth convex polyiamonds

Vincent Vajnovszki; Antonio Bernini; Toufik Mansour

doi:10.1051/ita/2025015

Smooth convex polyiamonds

Vincent Vajnovszki
, Antonio Bernini
, Toufik Mansour

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	17
Journal	RAIRO - Theoretical Informatics and Applications
Volume	59
DOIs	https://doi.org/10.1051/ita/2025015
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2025 The Author(s).

Keywords

Lower/upper smooth convex polyiamonds
Perimeter
Smooth convex polyiamonds

ASJC Scopus subject areas

Software
General Mathematics
Computer Science Applications

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10.1051/ita/2025015

Cite this

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title = "Smooth convex polyiamonds",

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.",

keywords = "Lower/upper smooth convex polyiamonds, Perimeter, Smooth convex polyiamonds",

author = "Vincent Vajnovszki and Antonio Bernini and Toufik Mansour",

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AU - Bernini, Antonio

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KW - Lower/upper smooth convex polyiamonds

KW - Perimeter

KW - Smooth convex polyiamonds

UR - https://www.scopus.com/pages/publications/105022472909

U2 - 10.1051/ita/2025015

DO - 10.1051/ita/2025015

M3 - Article

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SN - 2804-7346

VL - 59

JO - RAIRO - Theoretical Informatics and Applications

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ER -

Smooth convex polyiamonds

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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