Triangle and pentagon models

These models are made up of regular triangles and pentagons (not too dissimilar to a icosidodecahedron).  However, none of these seem to be included in the Johnson Solids list of 92 – Why?  The most likely answer is that the pentagons are not laying perfectly flat.  I have scoured the internet to find others like it but couldn’t find any.

72 triangles and 12 pentagons (both regular?).  Single pentagon at both poles.


A nice arrangement of 3 pentagon smiley’s (that’s 4 groups of three pentagons). Bottom inset image shows part of the interior.  64 triangles and 12 pentagons.


Smaller model but no less interesting.  24 triangles and 12 pentagons.  Is it possible for someone to digitally reproduce these in Stella or similar?


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