Mentor/s
Dr. Julianna Stockton, Dr. Bernadette Boyle
Abstract
Origami is the art of folding paper into particular shapes and designs.This paper will demonstrate the use of unfolded and folded crease patterns and the circuits these crease patterns create. This paper will explore the criteria required for flat foldability with a single vertex. The results will show the need for an even number of creases and a difference of 2 between total mountain and valley creases. Other results discussed in this paper include the number of layers at any point must be even and the Kawasaki-Justin Theorem using the alternating sum of the angles to obtain flat foldability.
College and Major available
Mathematics
Location
Panel B: UC 107
Start Day/Time
4-21-2017 12:30 PM
End Day/Time
4-21-2017 1:45 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Single Vertex Flat Foldability
Panel B: UC 107
Origami is the art of folding paper into particular shapes and designs.This paper will demonstrate the use of unfolded and folded crease patterns and the circuits these crease patterns create. This paper will explore the criteria required for flat foldability with a single vertex. The results will show the need for an even number of creases and a difference of 2 between total mountain and valley creases. Other results discussed in this paper include the number of layers at any point must be even and the Kawasaki-Justin Theorem using the alternating sum of the angles to obtain flat foldability.
