To answer the question that between a circle and a square, which one is more symmetrical, we will examine their group of “symmetries” and the space that has a larger group of symmetries would be more symmetrical. We will regard area-preserving piecewise-linear self-homeomorphisms as “symmetries”. We will also compare the group of “symmetries” of surface of a cube with two-dimensional sphere. In the end, we will ask a question about the structure of the area-preserving self maps of two dimensional sphere and we will examine similar questions in the three dimensional case.
Rastegar,A . (2022). Circle or Square, Which One Is More Symmetrical?. Mathematical Culture and Thought, 40(2), 79-85. doi: 10.30504/mct.2022.324
MLA
Rastegar,A . "Circle or Square, Which One Is More Symmetrical?", Mathematical Culture and Thought, 40, 2, 2022, 79-85. doi: 10.30504/mct.2022.324
HARVARD
Rastegar A. (2022). 'Circle or Square, Which One Is More Symmetrical?', Mathematical Culture and Thought, 40(2), pp. 79-85. doi: 10.30504/mct.2022.324
CHICAGO
A Rastegar, "Circle or Square, Which One Is More Symmetrical?," Mathematical Culture and Thought, 40 2 (2022): 79-85, doi: 10.30504/mct.2022.324
VANCOUVER
Rastegar A. Circle or Square, Which One Is More Symmetrical?. An Expository Journal of the Iranian Mathematical Society. 2022;40(2):79-85 (In Persian). doi: 10.30504/mct.2022.324
