How do the Craft and Holy Royal Arch degrees relate to Geometry & Astronomy, especially in the context of the cosmic order?

Wilmshurst reads the geometrical and astronomical symbolism of the Masonic degrees as representations of spiritual regeneration and cosmic harmony. In his interpretation, the progression through the Craft degrees and into the Holy Royal Arch outlines the complete process of human transformation, culminating in the metaphorical "squaring the circle" 1. This classic geometrical problem serves as an emblem for the sublimation of man's temporal nature into a higher, integrated order of life 1.

In the Holy Royal Arch, this geometrical completion is paired with astronomical symbolism drawn from the microcosm 1. Wilmshurst views the candidate's individual faculties as corresponding to the twelve zodiacal divisions 1. Through the spiritual journey represented in the degree, these purified zodiacal essences coalesce into a unified whole—a "new heaven and a new earth"—representing the soul's escape from temporal captivity to divine cosmic order 1.