A polytope in 
-dimensional Euclidean space 
whose vertices are integer lattice points but which does
not contain any other lattice points in its interior or on its boundary (Khan 1999).
Primitive Polytope
See also
Howe's Theorem, PolytopeExplore with Wolfram|Alpha
References
Khan, M. R. "A Counting Formula for Primitive Tetrahedra in
."
Amer. Math. Monthly 106, 525-533, 1999.Referenced on Wolfram|Alpha
Primitive PolytopeCite this as:
Weisstein, Eric W. "Primitive Polytope." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimitivePolytope.html