As the title, I just want to know whether there is a general formula for calculating the inradius of a n-simplex. Thank you!
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$\begingroup$ What quantities are you assuming to be known for your $n$−simplex? Is there a formula for a triangle? $\endgroup$– Jean Van SchaftingenCommented Oct 23, 2015 at 7:38
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$\begingroup$ $\frac{\textrm{volume}}{n\cdot\textrm{surface-area}}$? $\endgroup$– Anton PetruninCommented Oct 23, 2015 at 10:06
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1 Answer
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Apparently not in complete generality; here is a a formula for a hyperbolic truncated $n$-simplex, and here for a regular simplex. There is also a formula for a triangle.
answered Oct 23, 2015 at 6:43