Numerology and Platonic Forms


Kabbalah 1990 207

To grasp abstract concepts in their beauty, it helps to make them visible.  In the ancient world, numbers were – and are still – dynamic shapes, letters and states of transformation. The numbers are symbols of life.  The five Platonic forms or solids – tetrahedron, cube, octohedron, dodecahedron and icosohedron – give volume and depth to the play of number.

Many Renaissance masterpieces – not to mention the medieval Cathedrals – were constructed consciously or subconsciously on the perfect proportion of the living Numbers:  for instance the 5 : 8 of the golden mean.   It nourishes the subtle body and expands the spirit in recognition.  And so they stand …

My numerology 1-10  remained stable for the 20 years since I wrote these two pages below.  It was influenced by the works of Mouni Sadhu and Elisabeth Haich.  Refinements came later, with the Builders of the Adytum Tarot:  for instance I would now call the conduct of Four “organization” or “reason”.  Initially I called it “benevolence” for the Fourth Sefira on the Tree, Hesed or Grace.  Hesed expands into the dominion of space, the blueprint of time collected in Binah.

Numerologic Arcana are based on the simple premise 1 – 10.  Where this moves up the sides of the pyramid to the apex, our cultural systems are in general agreement.   The cosmic principles are unaltered by local interpretation.

So here is my own view !

Numerology 1-6

Numerology 7-10


Here (below) is a cartoon of the fourth dimension.  Zero dimension is the point, whose geometry is spherical.  It may shrink or expand infinitely, inward or outward:  it thus contains the All or One.  A line is a movement of the point, becoming 2:  its equidistant projection forms 3, a triangle.  A further projection from the flat triad is 4 – an equal sided tetrahedron or solid.

Each subsequent dimension is a perpendicular movement from the last.  So a line is extended laterally to become a plane.  The plane projected into three dimensions, is a cube – our landscape of life.  The inner life – the conscious connectivity – exists perpendicular in every direction to the three-dimensional sensory world.

Where do we put our attention?  It is a matter of conditioning, since infancy.

point line plane copy

Here is Ouspensky’s fable of the flat-earth beings’ surprise when a Great Being (who is their God or Brahman) dipped Her fingers through their two-dimensional world, as through water’s surface. Five apparently unrelated disks or islands appear unexpectedly, move around, change shape and disappear.  But they all belong to one hand, and to some inconceivable Face or purpose. Such is life, when we are disappointed or astonished by so called Miracles – and they have concentric ripples!   Such is the thread of our hidden lifetimes and our fantasy of death.  Such is the connectivity of an atomic particle, which nods or rotates in unison with its twin sister, even when the two are separated far beyond any signal of light.   Such is the cosmic web.

Tao doodle '94 j&d11


Now here are a collection of pictorial 3’s, 4’s, 5’s, 6’s, in no particular order.  I studied for a long time in Mouni Sadhu’s The Tarot (1962) the Tetragrammaton First Family of JHVH, and even how to breathe with it at times.  It is my philosophical root.


Finally:  Speaking of the Tetragrammaton reminds me of Gurdhieff’s Enneagram.  In the circuitry of a musical octave, are two intervals – where a quantum leap is made.  I do not remember now – are they the semitone 3rd/4th?  and 6th/7th? (diminished 7th).   Help me someone, please!   In general life, our intentions are propelled by 1st force, resisted by 2nd force, and carried through (if possible) with the perseverance of 3rd force, from a higher dimension – the height, depth and breadth. The thesis/antithesis structure is applied in a practical way, to life.

For me, the beauty and depth psychology is in the Enneagram’s interplay of numbers – rather than the later method of attaching personality types to it: which seems to me to be guess-work and rather unscientific.   One can only go by experience.  The topic is open to discuss!


enneagram math


My next post on this subject will include Johannes Kepler’s system of 5 platonic solids each interleaving a planetary orbit;  his chalice, and the 5 platonic solids among the Sefiroth on my Tree of Life.

rebbe & rebbetzin yuletide '94 j&d11





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