# Convex Pentagon Tilings and Heptiamonds, I

## TL;DR

This paper explores new convex pentagon tilings inspired by Marjorie Rice's 1995 discovery, revealing novel properties and connections to heptiamond tilings, thereby expanding the understanding of convex polygon tessellations.

## Contribution

It introduces new convex pentagon tilings and uncovers their properties, building upon Rice's earlier work and linking to heptiamond tilings.

## Key findings

- Discovered novel properties of convex pentagon tilings.
- Identified new tilings related to heptiamonds.
- Expanded the catalog of convex polygon tessellations.

## Abstract

In 1995, Marjorie Rice discovered an interesting tiling by using convex pentagons. The authors discovered novel properties of the tilings of convex pentagon which Rice used in the discovery. As a result, many new convex pentagon tilings (tessellations) were found. The convex pentagon tilings are related to tilings by heptiamonds.