Geodesic
On geometric characteristics of an $n$-dimensional simplex
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 2, pp. 52-64.

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We prove and discuss some propositions for geometric characteristics of an $n$-dimensional simplex. Also we note the connection with linear interpolation on the cube $[0,1]^n$.
Keywords: $n$-dimensional simplex, $n$-dimensional cube, homothety, axial diameter, linear interpolation, projection. 
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M. V. Nevskii. On geometric characteristics of an $n$-dimensional simplex. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 2, pp. 52-64. http://geodesic.mathdoc.fr/item/MAIS_2011_18_2_a3/

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