Mentor/s
Professor Julianne Howard
Participation Type
Paper Talk
Abstract
Tessellations are a well-known concept seen all over the world. They are the notion of one or more geometric shapes being repeated several times on a plane with no gaps or overlaps. They are often seen in art, architecture, computer science, mapping, and more. There are also a few different varieties of tessellations, where some are more intricate than others. For example, the Voronoi tessellation is a special tessellation formed from a set of finite points on the Euclidean plane. Each of these finite points is called a seed which corresponds to a polygon, a Voronoi cell, which contains all points closer to that seed than any other seed in the tessellation. Voronoi tessellations can be applied and used in many aspects of daily life, including waste management, mapping, and various forms of science. This paper will explain the different forms of tessellations, including the Voronoi tessellation, their structure, the applications, and whether they would help to make the world a better place.
College and Major available
College of Arts and Sciences, Mathematics
Location
Session 3: Digital Commons & Martire Room 350
Start Day/Time
4-26-2023 2:00 PM
End Day/Time
4-26-2023 3:15 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.
Prize Categories
Best Visuals, Most Creative, Best Writing
Tessellations Around the World
Session 3: Digital Commons & Martire Room 350
Tessellations are a well-known concept seen all over the world. They are the notion of one or more geometric shapes being repeated several times on a plane with no gaps or overlaps. They are often seen in art, architecture, computer science, mapping, and more. There are also a few different varieties of tessellations, where some are more intricate than others. For example, the Voronoi tessellation is a special tessellation formed from a set of finite points on the Euclidean plane. Each of these finite points is called a seed which corresponds to a polygon, a Voronoi cell, which contains all points closer to that seed than any other seed in the tessellation. Voronoi tessellations can be applied and used in many aspects of daily life, including waste management, mapping, and various forms of science. This paper will explain the different forms of tessellations, including the Voronoi tessellation, their structure, the applications, and whether they would help to make the world a better place.
Students' Information
Julia Simoneau, Mathematics Major, Honors student, Class of 2023
Winner, Most Creative 2023 Award