A New Tile-Based Method for Constructing Single-Line Drawings

Abstract

We present a new tile-based method for constructing single-line drawings. Our method involves positioning decorated square tiles on a rectangular board. We use a set of eight tiles. Each one has a light beige background, and seven of the eight are adorned with black line segments that connect one or more midpoints of certain sides of the tile to one or more midpoints of other sides. When we place copies of these tiles on the board, we follow one rule: we must arrange them in such a way that their black line segments join together to form a single line that enters the board on the left and leaves it on the right. Our goal is to construct a single line that can be easily traced by hand or eye when viewed from up close yet also resembles a recognizable target image when viewed from a distance.

Publisher

Tessellations Publishing

Publication Date

7-31-2023

Department

Mathematics

Document Type

Conference Proceeding

Notes

Conference held July 27-31, 2023 in Halifax, Nova Scotia, Canada.

ISBN

9781938664458

Language

English

Format

text

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