I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php. It contains, as faces, sixty kites and twelve five-pointed stars.
A Concave Polyhedron Made of Kites and Stars
RobertLovesPi.net
Polyhedra, tessellations, and more.
RobertLovesPi.net 
Please let me have the sides and angles of the kites and the star.
Do share other information necessary to make a physical model.
Thanks
Ashok
Pune
India
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I could answer that if I’d saved a .stel file for this polyhedron. Unfortunately, I did not do that.
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