Max Brückner, from his book Vielecke und Vielfläche, 1900. Leipzig, Germany. Via Bulatov.

Brückner extended the stellation theory beyond regular forms, and identified ten stellations of the icosahedron, including the complete stellation. wiki

Divining with the Five Platonic Solids.

Named after the philosopher Plato, though dating thousands of years before his time, the five Platonic solids illuminate the five elements and their clashing yet complementary chemistry. When viewed allegorically, Plato’s Solids suggest a unifying mission that ultimately unites us with the One. According to Plato, the four elements individually illuminate a singular aspect of itself to the other, while the fifth element, seen as the Cosmos, unifies and embodies the four. This elemental alliance allows the fifth element to express itself as the greater whole, or as some say, the Divine plan. Seen this way, the Solids reveal a dance that moves in unison with the Cosmos. This dance can be viewed as a guiding principle that lends itself to the Understanding of our greater mission and through Divination we can co-create the dance of the many to illuminate our Spirit’s Connection with the One.

The goal of this illustration is to let the five Platonic solids lead the way to what matters by contemplating on each element and their corresponding statement. Each statement invites reflection and bypasses the typical everyday focus. This is not about our love life, career or income. Instead it’s about promoting answers from a deeper perspective. 

Lawrence Blair - The Five Sacred Solids as Symbols of the Different Vibrationary Sources in the Subtle or Aetheric Body of a Man, “Rhythms of Vision: The Changing Patterns of Belief”, 1976.