Are there equivalent or relative objects to the Platonic Bodies (in Holy Royal Arch) in the Craft and Mark degrees?

The cube, or hexahedron—one of the five regular Platonic solids—is featured in Craft Masonry as the perfect ashlar, as a paper read before Quatuor Coronati Lodge notes. The double cube, derived from that form, is identified in ritual lectures as the shape of the altar, as the same paper records. A direct reference to another Platonic solid exists under the United Grand Lodge of England, where a Craft lodge named Tetrahedron Lodge, No. 5161 was consecrated in London.

In the Royal Arch, older English lectures explicitly linked geometric intersections to the five Platonic bodies, holding that the angles formed by intersecting lines, when reduced to right angles, equalled those five regular solids representing the four elements and the sphere of the Universe 1.

Neither the supplied library texts nor the web findings describe relative or equivalent Platonic solids specific to the Mark degree.