Background
Eloise is a U3 Honours Physics student. Her main academic interests are early universe cosmology, string theory and quantum loop gravity. The goal of her BLUE project is to explore representations of higher dimensions, with a focus on spaces with four spatial dimensions or 3+1 dimensions (i.e. three spatial dimensions and one time dimension).
Talk to Eloise about: weird physics and physicists, McGill STEM Support Committee, and how amazing ant colonies are.
An Exploration of Higher Dimensional Objects
In order to develop a framework in which to gain a more intuitive understanding of the objects with more than three spacial dimensions, a ratio β was defined and computed for the three n-dimensional regular polytopes, as well as for various radially symmetric objects. A closed-form expression for β was found for all objects. From this, it was found that the number of dimensions of a shape can be determined from only this β and the general geometry of an object. Therefore, it was possible to redefine a dimension in terms a single quantity, which depends only on two lengths. A possible relationship between β and the symmetries of various families of shapes was suggested and explored, but has not been proven.
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Montreal, Quebec H3A 1E3
