Authors: Jordan Gertino, Bryan Wilson
Mentors: Bryan Wilson
Insitution: Salt Lake Community College
This study investigates inscribing a changing base tetrahedron within a unit circle, presenting a unique approach to generate a comprehensive array of all triangles with a specific scale and orientation. The ultimate objective is to establish a surjection between the creation angle and the resulting triangle. With this method all triangles are (theoretically, up to scaling) possible to construct using surjection. By creating a standard family of triangles this research may provide a different framework in geometric manipulation with potential applications in chemistry, biology, and other various fields. One example is that it could be a good model for the molecular structure of tetrahedrons under pressure.