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awarded  Enlightened 
Apr 17 
revised 
Decomposition of a crosspolytope into simplices
Added a banner to make it clear this isn't an answer to the actual question. 
Apr 17 
comment 
Decomposition of a crosspolytope into simplices
Ok. I edited your question to make that clear, and fixed a typo. I'll leave my nonanswer here just in case it helps anybody. 
Apr 17 
revised 
Decomposition of a crosspolytope into simplices
clarified question, fixed typo 
Apr 16 
comment 
Decomposition of a crosspolytope 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 crosspolytope into simplices
Found name 
Apr 16 
answered  Decomposition of a crosspolytope into simplices 
Apr 15 
comment 
Find a shortest way between nodes in graph
This does not appear to be researchlevel 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 orientationpreserving 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 twoparameter family of flat metrics. The annulus has a oneparameter 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 (nonhomeomorphic) 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 