Geodesic
Cubature formulas of the seventh precision degree for the hypercube
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part IX, Tome 202 (1992), pp. 110-115

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In the paper, cubature formulas for calculation of an integral along the hypercube are constructed. These formulas are invariant under the group of all transformations of the hyperoctahedron and precise for all polynomials of degree less than or equal to 7. Bibliography: 2 titles 
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     author = {S. B. Stoyanova},
     title = {Cubature formulas of the seventh precision degree for the hypercube},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {110--115},
     publisher = {mathdoc},
     volume = {202},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_202_a5/}
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S. B. Stoyanova. Cubature formulas of the seventh precision degree for the hypercube. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part IX, Tome 202 (1992), pp. 110-115. http://geodesic.mathdoc.fr/item/ZNSL_1992_202_a5/