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. 
@article{MAIS_2011_18_2_a3,
     author = {M. V. Nevskii},
     title = {On geometric characteristics of an $n$-dimensional simplex},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {52--64},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_2_a3/}
}
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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/