Apologies to Euclid….

‘Given the option we would all choose to live in a house of the imagination…’

…A riddle is a trick played with words.

And this word ‘trick’ is interesting for it too has a three in it.

This three it seems to me is the unknown, or rather in the case of a ‘low down’ trick the not known by one but known only too well by the other.

It is debatable of course but it could be argued that whenever there is a one and another they are in one sense or another always reaching for a third.

Perhaps this reaching is an attempt to define the unknown. Only by reaching together can they succeed. Like a line that seeks a triangle.

In order for the line to rise its polarities have to meet in the middle.
In order for the triangle to rise its singular-triplicities have to meet in the middle.

Why?

I hear you cry, why are the angles singular-triplicities?

Because each angle is simultaneously one of three and three in one, it is a point and also the point of two distinct bases.

Technically this ‘two base thing’ could also be designated a common-duplicity which is the reason why the little figure below works and as such, singularly, it gives us a hidden ‘fourth’, collectively, a hidden ‘sixth’.

hares 008

Figure 1 – ‘here today…’

Somewhat incredibly perhaps this figure appeared in the fabric of a church building we once came across… but back to the geometries.

What does one point gain from another?

Reflection.

Antagonism.

Extension.

What do two points gain from a third?

Focus.

Equilibrium.

What do three points gain from a fourth?

Dimension.

A line is a point with two ends to it.

A triangle is a line with three turns in it.

A tetrahedron is a triangle in ‘two minds’.

If the minds were houses one would be a house of the living, the other would be a house of the dead.

Or to rephrase: One mind is inner the other is outer.

For the inner to contain the outer, or for the drop to contain the ocean, requires a fourth and a sixth…

11

Figure 2 – ‘Metanoia’

N.B. the triangle featured in the above post is always an equilateral triangle.

P.S. The Tetrahedron is the magical symbol for elemental fire…

4 thoughts on “Apologies to Euclid….

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