First and Last Name/s of Presenters

Gabrielle BarberiFollow

Title of Poster or Paper

Single Vertex Flat Foldability

Mentor/s

Dr. Julianna Stockton, Dr. Bernadette Boyle

Location

Panel B: UC 107

Start Day/Time

4-21-2017 12:30 PM

End Day/Time

4-21-2017 1:45 PM

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

College of Arts and Sciences

College and Major available

Mathematics

Keywords

Origami, Foldability, Patterns

Original Publication Date

12-12-2016

Document Type

Essay

Creative Commons License

Creative Commons Attribution-Noncommercial-Share Alike 3.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

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Apr 21st, 12:30 PM Apr 21st, 1:45 PM

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.

 

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