Matisse's DanceⅡhas ingenious syntactic structure for harmony [Rethinking modern art] Ⅱ

The second drawing  after the first tends to have very clear curvature.
We can pay attention on one curvature of one part at one time.
Therefore the curve becomes a chain of arcs when we draw it.
When we try to valance many arcs we are conscious of the extention of the both sides of the curve: circle.
As a result the circles almost start forming a pivot structure(with more than three circles  intersecting at a point).
Many genius noticed that this structure can be constructed to make balanced composition.
The good example of this process can be seen in Matisse's Dance Ⅱafter DanceⅠ.
The left  illustration is the first version.
Only the nude in the left is drawn with clear line.
It is obvious that Matisse intended to draw all the nudes in the same style in danceⅡ.
The right picture is made of round contours and looks more rhythmical and harmonious.
The outlines can be easily replaced with arcs of a few circles
.I used only six circles which function like a musical scale.              Matisse     DanceⅡarc model
Extending the arcs, the circle-arc model can be made.


         Matisse  DanceⅡ  circle-arc model
To see better the pink circle network stretching the entire surface, I make pink circle-arc model.



    Matisse  DanceⅡ  pjnk circle-arc model
The crosses show the intersecting points of more than three circles which are named pivot.
The pivots are systematically arranged.
There are two pivots on the green vertical line.
There are four pivots on the upper horizontal line and three pivots on the lower horizontal line.
There are two perfect circles; left one with four pivots and right one with three pivots.
There are six pivots on the light pink circle on the lower right.



The most dominant circles are shown in light blue.

    Matisse  DanceⅡ  blue circle-arc model
The largest pink circles make the base network, then  the network of the second largest blue circles overlap.
As the most of the arcs are the parts of the networks, the whole effect becomes  harmonious like the musical tones on the musical note.


Formal art history can be written as the history of inventions of such devices.
I wonder how many syntactic devices have been invented until now.
The present art world does not have the good atmosphere to produce artists.
I believe that the digital images are the medium of art in our time.
The painters for the gallery system are already outdated like chess masters.

Soon  the grammatical knowledge about art will be established online.
Then AI artist can be created.
As David Cope's Emmy composed almost-Bach, it will be possible for AI artist to paint almost-Picasso.
Besides brand new art styles may be invented as the AI chess master found many unexpected new moves.