The so called "timestar" shown below is an elegant (and at times somewhat confusing) set of 5 interlocking tetrahedrons.  timestar.inc
Order can be made of this jumble by realising that the vertices of all the tetrahedra lie at the midpoints of the triangular faces of a icosahedron.  icosahedra.inc
Which similarly means the vertices coincide with the vertices of the dodecahedron.  dodecahedron.inc
 faces.inc
View from the inside, equirectangular projection. 
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