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2d
awarded  Enlightened
Apr
17
revised Decomposition of a cross-polytope into simplices
Added a banner to make it clear this isn't an answer to the actual question.
Apr
17
comment Decomposition of a cross-polytope into simplices
Ok. I edited your question to make that clear, and fixed a typo. I'll leave my non-answer here just in case it helps anybody.
Apr
17
revised Decomposition of a cross-polytope into simplices
clarified question, fixed typo
Apr
16
comment Decomposition of a cross-polytope into simplices
Good point. I missed that. I will ask the original poster which kind of decomposition they actually wanted.
Apr
16
revised Decomposition of a cross-polytope into simplices
Found name
Apr
16
answered Decomposition of a cross-polytope into simplices
Apr
15
comment Find a shortest way between nodes in graph
This does not appear to be research-level mathematics, so I am voting to close. I suggest you try asking at math.stackexchange.com
Apr
14
answered Must the powers of some element always grow linearly with respect to a word metric?
Apr
12
awarded  Necromancer
Apr
12
comment The name of a group of order 24
The description in the comment gives the orientation-preserving symmetries of the octahedron.
Apr
12
answered Rediscovery of lost mathematics
Apr
5
comment How many metrics of constant curvature exist on a Riemannian surface?
Small typos - The torus has a two-parameter family of flat metrics. The annulus has a one-parameter family of hyperbolic metrics (controlled by the length of the core curve).
Apr
5
revised How many metrics of constant curvature exist on a Riemannian surface?
fixed ref
Apr
5
comment Teichmuller distance between isospectral riemann surfaces
let $X_n$ to be a hyperbolic genus two surface where all cuffs have length $1/n$. Let $Y_n$ and $Z_n$ be the two covers. These will also have many short curves, but in different (non-homeomorphic) configurations. Thus $d_T(Y_n,Z_n)$ goes to infinity with $n$. --- You might be able to shorten the proof by factoring through the map to $F_2$ (free group of rank two) that kills the conjugacy classes of the cuffs. Then $Y_n$ and $Z_n$ come to us with distinct pants decompositions.
Apr
5
comment Teichmuller distance between isospectral riemann surfaces
I think you are correct, regarding $D_T$ -- Sunada's construction will give a negative answer to Question 1. Fix $S$ the closed surface of genus two. Fix data $G$, $\phi$, $H_1$ and $H_2$ as required by Sunada. Vary $X \in M(S)$ as follows. Fix a pants decomposition of $S$. For any $n > 0$...
Apr
5
answered Teichmuller distance between isospectral riemann surfaces
Apr
5
revised How many metrics of constant curvature exist on a Riemannian surface?
better refs
Apr
5
answered How many metrics of constant curvature exist on a Riemannian surface?
Apr
5
revised How many metrics of constant curvature exist on a Riemannian surface?
edited tags