Geodesic
A Note on Coverings of En by Convex Sets
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 669-673

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Let (x1, x2, ..., xn) denote the coordinates of a point of Euclidean n-space En. Let be a set of n+1 points of En with the property that form a linearly independent set and define a lattice Λ of points by allowing u1, ..., un to take all integer values. 
Chalk, J.H.H. A Note on Coverings of En by Convex Sets. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 669-673. doi: 10.4153/CMB-1967-067-4
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[1] 1. Chalk, J. H. H., “A local criterion for the covering of space by convex bodies”. Acta Arithmetica, IX (1966), 237-243. Google Scholar

[2] 2. Chalk, J. H. H. and C.A. Rogers, , “The critical determinant of a convex cylinder”. Journal London Math. Society, 23 (1944), 178-187. Google Scholar

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