**System of Matrix (2)**

**Method of 3-step reducing join of the matrix**

It have became to be clear that the most minimal unit of the matrix to
be concerned with appearances of pentagram without excess and deficiency

was managed on more advanced joint-system, from the newest exploration
for specific major relics. (explanation for the most minimal unit)

There is need to grasp the method of 3step-reducing-join as most important
fundamental practice.

Almost major relics checked already seem to take in 3step process. However,
actually this reducing-join is able to repeat many times.

The newest check of this investigation has confirmed the status of 4step-reducing-join
on Tibetan Hevajra-Mandala in 13-century.

This method to join minimal units is effected from natural tonality of
adaptation to geometry, because which have no external factor to decide
behavior.

The process is just constraining to ownself from the actual rate surfaced
on the own figure.

The next figure is illustrating the status finished the 3step-reducing-join
of minimal units.

Which status results from the process to overlap minimal units reduced
two times in series on a unit as first base by the certain rate.

That schema is next figure.

The concept conducting to the specific rate of reduction is very simple.
Which comes into existence only concerning geometric integrity.

It is only necessary the grasp of positions of 2 intersecting points on
the axis, in the figure of a minimal unit below.

That 2 points are marking as A and B in there.

When this reducing overlap process is performed, It needs to gather vertexes
being most upper position of each pentagram in units,

in other words, the each center point of most upper circles of minimal
units.

In parallel, if A-point of the reduced unit for overlap becomes the same
of B-point on the non-reduced unit,

one time practice of this reducing-join has be completed. And this process
is able to repeat as a next reducing step.

Investigation by Yagihashi Tsukasa (Jabrec Art Music) 2011jan 22

e-mail