An excerpt from the Book of Tools, Chapter 2
I. The Basics
The Polylateral Time System is a method of describing how time progresses according to geometrically perfect patterns, and how relationships between these geometric patterns can aid in analysis of events in the past, present, and future. At its simplest, the System consists of concentric geometric shapes aligned with fundamental periods of time, most commonly the Day (defined by one full rotation of the Planet Earth) and the Year (defined by one full circumscription of the Planet Earth around the Sun.) The System is not commonly used with time periods such as “months”, “weeks”, “hours”, etc., since these time periods are not strictly defined by physical events in the cosmos, but rather purely semantic divisions invented by Man.
II. The System, Anchored at the Origin
For example, one of the first shapes one may choose to examine is the Origin Triangle (or “Triangulum”). Across the Year, the corners of the triangle fall upon January 1 at midnight, May 1 at 16:00, and August 31 at 8:00. Across the Day, the origin triangle falls at midnight, 8:00, and 16:00. The triangle represents strength, power, purity, heaven. The Triangle is commonly used to plan or understand enlightened matters.
Across the Year, the corners of the Origin Square fall upon January 1 at midnight, April 1 at midnight, July 1 at midnight, and September 30 at midnight. Across the Day, the triangle falls at midnight, 6:00, 12:00, and 18:00. The Square represents order and normality and the material world. The Square is commonly used to restoring normality and faith in a shaken public, often used in business or public relations.
Across the Year, the corners of the Origin Pentagon fall upon January 1 at midnight, March 14 at midnight, May 26 at midnight, August 7 at midnight, and October 19 at midnight. Across the Day, the Pentagon falls at midnight, 4:48, 9:36, 14:24, and 19:12. The Pentagon represents occult energies, and events sometimes referred to as the "supernatural" (although this energy is, in fact, natural). The Pentagon is commonly used for summoning occult power, harnessing the chaos and discord of the universe at large.
Across the Year, the corners of the Origin Hexagon fall upon January 1 at midnight, March 1 at midnight, May 1 at midnight, July 1 at midnight, August 31 at midnight, and October 31 at midnight. Across the Day, the Hexagon falls at midnight, 4:00, 8:00, 12:00, 16:00, and 20:00. The Hexagon represents a unique pattern of reflectionism, duality in the universe. The Hexagon is commonly used to aid in the planning or understanding of peaceful or koans.
Across the Year, the corners of the origin Icosagon fall upon January 1 at midnight, January 18 at 6:00, February 5 at 12:00, February 23 at 18:00, March 14 at midnight, April 1 at 6:00, April 19 at 12:00, May 7 at 18:00, May 26 at midnight, June 13 at 6:00, July 1 at 12:00, July 19 at 18:00, August 7 at midnight, August 25 at 6:00, September 12 at 12:00, September 30 at 18:00, October 19 at midnight, November 6 at 6:00, November 24 at 12:00, and December 12 at 18:00. Across the Day, the Icosagon falls at midnight, 1:12, 2:24, 3:36, 4:48, 6:00, 7:12, 8:24, 9:36, 10:48, 12:00, 13:12, 14:24, 15:36, 16:48, 18:00, 19:12, 20:24, 21:36, and 22:48. The Icosagon is the most difficult of the Common Polygons to understand, representing systematic and precisely hidden absurdities within the universe, the element of cosmic mystery missing from many of mankind's material calculations, and at times, the intersection of the occult with the normal (it is, after all, the product of 5 and 4). The Icosagon's uses are widely varied and difficult to categorize, and generally limited to those who are able to develop an intrinsic understanding of the System. For example, one may choose to plan an event at 3:36 because it is the third corner of the Origin Icosagon, reflecting an enlightened point on the polygon of confusion, or perhaps a beacon of light in a world of absurdity.
III. The System, Relative
While we have so far been anchoring the geometric assembly at midnight on the First of January, the Polylateral Time System, as with can also be used to describe a relationships. To pick a purely semantic example, if planning event for the October 5, it may be useful to realize that it is one Pentagon corner away from the start of Saturnalia on December 17. Of course, this can also be applied to the past—when analyzing an event that occurred on October 5, this Pentagonal relationship with Saturnalia may be meaningful. This Pentagon is not the first Pentagon we spoke of, anchored at midnight on the first of January, but rather a Pentagon shared by two dates which are exactly one Pentagon corner away from one another.
When analyzing the geometric patterns described in the Polylateral Time System, it is important to consider not only each polygon individually, but where, when, and how multiple polygons may converge at various points, representing the convergence of various energies in the Universe at those points. The most obvious example is at midnight, when all origin polygons are balanced. At 8:00, the points of the triangle and hexagon converge, potentially signaling a convergence of those particular energies. At 12:00 noon, the square and hexagon converge. These convergences continue in an obvious fashion, until one considers the effect of relative (non-anchored) polygons between multiple events and which convergences are in effect as well as the effect of each individual polygon.
When taking into account both the relativity of non-origin-anchored polygons and the patterns of convergence that multiple polygons create together, there is a truly staggering amount of research that has been (and continues to be) done on the effects of various points in time and their relationship with other points.