Currently, I'm taking group theory. Right now I am dealing with assignments asking to find the total number of symmetries of objects. Pretty often I have a difficult time knowing whether or not a function I defined actually produces a symmetry, so I was wondering if there's any applet online or software that draws 3D objects (e.g., regular tetrahedrons) that allows me to perform rotations, reflections, composition of rotations/reflections, etc.. just so I can visualize and also verify that I'm including the correct elements.
2026-03-30 22:57:30.1774911450
Constructing Symmetries for Groups
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Try Group Explorer 3.0.
Failing that, I recommend, for 3D shapes, that you make physical copies out of cardboard or something. I did so for the Platonic Solids. They helped a lot during my undergraduate degree.