Pure art becomes a game of fixing integer values of shape on a grid

 The diagonal lines on the graph paper are replaced by the diagonals of a rectangle with integer sides.

Henri Matisse "White and Pink Head"



Pablo Picasso | VUE DE NOTRE-DAME DE PARIS (1945)




1) Now that I have found a model that easily measures diagonal lines by integers,

I will summarize what a complete visual grammar would look like.

2) The shapes seen in the artwork are far simpler than those in nature.

Through a priori artistic sense, curves become arcs and straight lines are either diagonal, vertical or horizontal.

These lines are supported by a hidden structure that gives them harmony and balance.

3) If you think of the screen as a grid of pictures,

all the diagonal segments become diagonals of a rectangle made of the grid and can be classified.

The smallest diagonal segment is the diagonal of a single grid,

and the largest diagonal segment is the diagonal of the screen.


4) I showed that Mondrian's painting models, which are made only of rectangles, are made with integer ratios in the blog

"Did Mondrian Use the Golden Section? (How Mondrian Works) II"






5) Cezanne's painting "Six Bathers" is

"Comparison between Matisse's "Music" and Cezanne's "Six Bathers""

Cezanne "Six Bathers"

arc model with eight different circles


circle-cross model on grid


I have written that Cézanne aimed for perfect design, but he was not conscious of this; rather, design was the result of his search for harmony and balance that his a priori existing sense desired.

Picasso and Matisse noticed this effect,

and consciously attempted to idealize it.



 



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