10 tetrahedra inside dodecahedron.
It should be union of "3D star" https://skfb.ly/EOTW with mirror image ... but due to overlapped faces many tries to do that failed. Yet, desired model also may be found between 59 stellations of icosahedron and finally I have used modified version of wrl file from here: http://www.georgehart.com/virtual-polyhedra/stellations-icosahedron-index.html