This is an exploration of some stellations of Enneacontahedra. Planes of regular Enneacons in Icosahedral symmetry are used to compose these forms. In the figure below, only the Arc cos 1/3 = (70.528…°) rhombi are used, as shown in scenes dropdown menu.
A continuation of this study can be seen Here
Another kind of stellation is shown below. In this model, only the Arc sin 2/3 = (41.81…°) rhombi are used. Scenes dropdown shows planar extension, and a framework used to derive these forms.
Below is a third type of stellation, using only the Arc sin 2/3 = (41.81…°) rhombus faces of the Enneacon extended to form 30 points.
It should be noted that two of the models shown are identical with stellations of a Rhombic Triacontahedron. As shown in the model below, the Arc sin 2/3 = (41.81…°) rhombus faces of the Enneacon can be inscribed into the faces of a Triacontahedron. Extending these planes to meet in two-fold, three-fold , and five-fold configurations is the same for both polyhedra.
