A Geomantic Calculator

The standard procedure used in divinatory geomancy to generate a new figure from two previously created figures begins by adding the point(s) in the top row of one figure to the point(s) in the top row of another. If the sum of that addition is an even number, the top row of the new figure gets two points. If the sum is an odd number, the new figure’s top row gets one point. This process is then repeated for the second, third, and bottom rows of the two initial figures to complete the creation of the new one. In the example below illustrating this process, Fortuna Major is added to Acquisitio, which produces Conjunctio:

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The table shown below is a quick reference calculator that can be used in lieu of the manual procedure described above, as it depicts every possible operation of geomantic addition. To find the figure that is produced from adding any other two, locate the first on a horizontal border and the second on a vertical border, then trace their column and row to the cell where they converge.

This table is also useful for studying the mathematical patterns that are created by the addition of specific pairs. For example, we can see that Populus always replicates the figure it’s added to, while Via always inverts the figure it’s added to. We can also see that Conjunctio added to Laetitia, Tristitia, Caput Draconis, or Cauda Draconis will always produce the converse forms of these figures, while Conjunctio added to Puella, Puer, Albus, or Rubeus will always produce the reverse forms of these figures.

A downloadable PDF of this table is provided below for offline reference. Please feel free to notify me of any calculation errors that you find.

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Note

1. According to author Sam Block, there are three main ways by which a figure is transformed into another: (1) inversion, (2) reversion, and (3) conversion. Inversion occurs when one point in a figure becomes two and two points become one (ex. Puer becomes Albus). Reversion occurs when a figure is turned upside down (ex. Laetitia becomes Tristitia). Conversion occurs when a figure is inverted then reverted (ex. Puella beomes Rubeus, then Rubeus becomes Albus).