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, Polytope## Explore 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 Polytope## Cite this as:

Weisstein, Eric W. "Primitive Polytope."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimitivePolytope.html