Geodesic
On pyramids in a~three-dimensional normed space
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 132-138

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For Euclidean tetrahedra of special type it is proved that their vertex set can be isometrically embedded in an arbitrary three-dimensional normed space. In particular, this is true for every regular triangular pyramid. Bibl. – 10 titles. 
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     author = {V. V. Makeev},
     title = {On pyramids in a~three-dimensional normed space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {132--138},
     publisher = {mathdoc},
     volume = {353},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a11/}
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V. V. Makeev. On pyramids in a~three-dimensional normed space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 132-138. http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a11/