Are there molecules that take the shape of every platonic solid?

Methane is the simplest molecule I know of that takes the shape of a [platonic solid](https://en.wikipedia.org/wiki/Platonic_solid) — in this case, the tetrahedron. Wikipedia has a page on [platonic hydrocarbons](https://en.wikipedia.org/wiki/Platonic_hydrocarbon) that includes molecules with tetrahedron, cube, and dodecahedron shapes. There are lots of molecules that have [octahedral geometry](https://en.wikipedia.org/wiki/Octahedral_molecular_geometry) (e.g. sulfur hexafluoride). 


Are there any molecules that form an icosahedron? The closest I've found is $\ce{C\_60}$, buckminsterfullerene, which takes the form of an Archimedean solid, the truncated icosahedron.


To be explicit: I am interested in molecules with atoms positioned at the vertices of platonic solids; whether or not there are direct bonds between those atoms is not relevant.




Yes, for each of the 5 platonic solids, there is at least one molecule that takes its shape.


There exist **tetrahedron**-shaped molecules. Some instances are $\text{CH}\_4$ or $\text{CCl}\_4$.


There exist **octahedron**-shaped molecules. Some instances are $\text{SF}\_6$ or $\text{Mo(CO)}\_6$.


There exist **hexahedron**-shaped molecules. An instance would be $\text{C}\_8\text{H}\_8$ AKA "cubane". Perhaps simple cubic lattices (like NaCl) could be considered "hexahedral molecules" as well?


There exist **icosahedron**-shaped molecules. An instance is elemental boron, $\text{B}\_{12}$.


There exist **dodecahedron**-shaped molecules. An instance is dodecahedrane ($\text{C}\_{20}\text{H}\_{20}$).


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