This is a study of a series of Pentakis dodecahedra. The range of these is between a pentagonal dodecahedron and its’ stellation, as shown. The edges of the various polyhedra are struts of the pre-defined colored directions available in vZome, and a few more, showing as white. This part of the series uses struts shown on the build triangle below, going from Blue counterclockwise through Red, and up to Orange. Scenes shows a few examples. The one titled “Equilateral Dark Goldenrod” is unique in that it is composed of equilateral triangles. The one titled “White Catalan” is the canonical form. Others show stages in the progression. Note that all of the models in the series are constructed sharing the dodecahedron vertices. By downloading, several other stages can be found in sequenced Bookmarks, including a Geodesic version which has vertices all equidistant from the center.
In a continuation of this study, Pentakis dodecahedra Part 2 is shown the sequence from Orange back to Blue.

Screenshot 2024-03-06 at 2 03 08 PM

Image of Build Triangle

A 3D design created in vZome. Use your mouse or touch to interact.

Framework of a series of Pentakis Dodecahedra