b'Mathematics The Golden TriangleKenslie M DeLoach and Alex FolarinSponsor: Dr. Charles Kicey, Department of MathematicsThe so-called Golden Ratio, denoted by the Greek letter phi, and the associated Golden Rectangle are well known not only in the mathematical community, but as part of popular culture. One finds appearances of phi and the Golden Rectangle throughout nature as well as a diversity of human endeavors such as art, architecture and even music. What is not as well-known is the Golden Triangle. We will define the Golden Triangle and see how its geometry connects to phi. We will delve into some of the mysterious appearances of the Golden triangle.Explorations in GeometryMallory Buckler and Victor SotoSponsors: Dr. Arsalan Wares and Dr. Denise Reid, Department of MathematicsDynamic geometric software can facilitate mathematical conjecturing. Computer construction programs allow the users to construct geometric shapes with specific constraints. Once these geometric shapes are constructed, they can be moved around on the computer screen without changing the specified constraints. This dynamic aspect of the software allows the users to conjecture about the relationships between and among different properties of the created shapes. The purpose of this poster is to display examples of geometric conjectures that can be explored in a dynamic geometry environment. These conjectures can be presented as geometry problems. Some of these problems (when solved) have the potential to emerge as significant mathematical theorems.60'