hyperdimensional interaction between sefirot

I have noticed that not only can one arrange the 10 sephirot (lines) as a 4d simplex, connecting 5 dualities (points); [A simplex is the simplest shape that occupies a given number of dimensions. In 2 dimensions it is a triangle, in 3 dimensions it is a tetrahedron, for a 4 dimensional simplex you can view one @ ken perlin's hyper-applet (check the Links section of this club)]
but that, when arranging the sephirot as the 10 lines in a 4d simplex, one finds that 4 lines end up on the 'inside' while the other 6 end up outside. this might be related to the fact that 6 of the vessels shattered during creation, whereas the first 3 and the last 1 were unharmed. (Presumably these 4 are on the inside of the structure.)

I have started to be able to visualize goings-on in the 4th dimension at least to limited fixed extents. But it has helped in my understanding of this arrangement. The question remains that at every point (what I have called 'duality') 4 lines (Which I have called 'sephirot') meet. 

So, do certain sephirot have deeper and closer relationships to 3 neighbors on various levels or not? [i haven't put enough thought into this yet]

[The alternative perspective would be to arrange the 10 sephirot as the 10 points of a 9d simplex, with 45 connecting lines. It becomes much more difficult to imagine not only 9d shapes but what these 45 lines may possibly represent.]

Wed Apr 19, 2000 1:36 pm