An Interactive Java Program to Generate Hyperbolic Repeating Patterns Based on Regular Tessellations Including Hyperbolic Lines and Equidistant Curves

Abstract

Repeating patterns have been utilized as art by various cultures all through the history. Amidst the 20th century, the prominent Dutch artist M.C. Escher was the first to make repeating hyperbolic patterns that were creative in nature. These patterns were very hard to draw using a hand without the help of a PC. Previously, some work was done in C, C++ and Java that automates the process of drawing these repeated patterns. This research focuses on enhancing the Java program by enabling user interaction and by providing support for special lines and curves such as hyperbolic lines and equidistant curves. This program also allows the user to create a new data file or load an existing data file that contains information about the repeating hyperbolic pattern. It also allows the user to make changes in the pattern by using a graphical user interface.