# Tetrahedrons and Octahedrons

Is it possible to cut a regular tetrahedron with edge length 100 into regular tetrahedrons with edges of length less than 1 and regular octahedrons with edges of length less than 1?

One way to obtain the tiling is to cut to tetradhedron with slices parallel to each face that are spaced apart at even intervals of $1/200^{th}$ of its height.