# Convex Pentagon Tilings and Heptiamonds, II

**Authors:** Teruhisa Sugimoto, Yoshiaki Araki

arXiv: 1704.04314 · 2018-03-09

## TL;DR

This paper explores the conversion of heptiamond tilings into convex pentagon tilings, introducing numerous new tilings and expanding understanding of tessellation patterns involving convex pentagons and heptiamonds.

## Contribution

It presents a novel method for converting heptiamond tilings into convex pentagon tilings, revealing many new tilings and expanding the catalog of convex pentagon tessellations.

## Key findings

- Many new convex pentagon tilings discovered.
- Conversion method from heptiamond to pentagon tilings.
- Enhanced understanding of tessellation relationships.

## Abstract

In the previous manuscript, new tilings (tessellations) were presented using convex pentagonal tiles belonging to Type 1 and Type 5. The convex pentagon tilings are related to heptiamond tilings. Later, the authors found Johannes Hindriks' site that summarized the research results of heptiamond tilings (tessellations). In this manuscript, the results of converting the heptiamond tilings of Hindriks to convex pentagon tilings are introduced. As a result, many new convex pentagon tilings are presented.

## Full text

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## Figures

43 figures with captions in the complete paper: https://tomesphere.com/paper/1704.04314/full.md

## References

3 references — full list in the complete paper: https://tomesphere.com/paper/1704.04314/full.md

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Source: https://tomesphere.com/paper/1704.04314