I stumbled across this while playing around with Stella 4d, a program you can try for free right here. The red component is the rhombic triacontahedron, while the yellow component is a slightly-stretched version of the strombic hexecontahedron. The dual of this compound is shown below.
how did you find stella?
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Just go to http://www.software3d.com/Stella.php to find it as a free trial download — that’s where you can find it. If you meant how did I learn of it, that was through correspondence with Robert Webb, who wrote the program.