Tagged Questions
0
votes
1answer
49 views
why are these integrals equal?
I've been trying to analyse Steiner symmetrization. I've asked before about the symmetrization preserving $\textit{volume}$, I'm still going over the same proof. I think I understand a bit what is ...
1
vote
1answer
65 views
fundamental region for the rotational symmetry group of a tetrahedron
How would I find the fundamental region of a tetrahedron for its rotational symmetry group $\mathcal{T}$?
I can think of how to find these regions in 2 dimensions, but I can't wrap my mind around the ...
4
votes
1answer
93 views
Magic theorem for cylinders? Symmetry classes according to Conway's notation?
My teacher Kirsi of Mat-1.3000 in Aalto University stated 17 symmetry classes for planes and 14 for spherical things (some lecture slides here). She used Conway Thurston's notation to classify ...
0
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1answer
117 views
How to find the matrix of reflection operator
I got a 3D space. In got a canonical equation of a plane: $ax + by + cz+ dt = 0$
How I can find the matrix of symmetric transformation transforming a point to its reflection?
0
votes
1answer
82 views
Polyhedra with symmetries order three
If I have a natural number $o=2n$ or $4n$ I can create a polyhedron whose group of symmetries has order $o$ by making a polygon like $C_n$ and then dragging it out to make a prism (I believe this is ...
