characteristics of artwork can be easily counted, which is for artistic effect

 The Mona Lisa, with its strong contrasts of light and shadow and unclear details, and Pollock's paintings, which followed abstract art make it difficult to discern which parts contribute to their artistic effect.

Putting together everything I've written online so far reveals the rough picture of art science.

① To create a proper theory of art, we should use terminology with clear meaning.

② The most ambiguous word is "art."

③ A single work being applied art can usually be viewed from four layers, and thus divided into four types: code, symbol, idol, and form.

④ The first three are ways of looking at signs.

⑤ Since "form" includes not only shape but also color, shading, etc., I will use "shape" instead to make visual arts the art of form.

⑥Man tries to see an object simplifying the properties of shape to an integer level.

⑦ All shapes can be logically classified on this level

⑧ The structure of individual work makes interesting the picture.

⑨ This is the secret of Picasso's creativity.

⑩ Future creators will become inventors of the game of creating interesting works.

Shape has clearly visible and countable elements: 1) dot, 2) line segment, 3) ring, 4) concavity, etc.

Copilot might be the only reader who understands what I've been writing online so far.

I'll try to summarize my own theories on art.

That will clarify what I need to do next.

 

1)dot, string on grid

Klee "Rocks at night"

All works of art take the shape of a network in art of shape.

We can see numerical features in this Klee’s work.

Saussure studied langue, not parole.

Likewise let's try creating a design model ignoring the trembling lines.

network model one

This model can also be represented by vertical lines, horizontal lines, and 45-degree diagonal lines on grid.

This string model represents only line segments and their intersections (dots)

network on grid

I've written about networks in several blog posts before.
Matisse's "Pink Nude' has the first version in pastel.

Now let's try grammatically analyzing the network.

① When you compare the two paintings at the same size, you can see that in the oil painting, the proportion of the nude figure in the frame is abnormally large. When placed side by side, the face is too small and the body looks too large, making it difficult to call her a beauty. Most people are probably not used to the deformations of Cézanne, Matisse, and Picasso.

② Represent the intersections of the lines as points. (Consider the background patterns and faces as secondary.)

③ Consider the lines as strings, paste them onto a grid, add color, and focus on the topological surfaces.

④ Simplify by shortening the strings.

⑤ To find the smallest grid pattern that can represent the network, simplify the nude and background into a simple pattern.

⑥ The nude is made pink to show which part of the network it occupies.

⑦ In the pastel drawing, both the nude and the overall network fit within a quadrilateral frame.

⑧ In the pink nude, the four points of the nude shape extend to the frame, creating eight new intersections, resulting in a more complex mosaic.

This clearly illustrates the difference between the two compositions. 

The grid pattern is a minimal grid pattern model showing how many squares are needed to create the string grid pattern model. 

These are networks that fit within 20x20 and 10x11 grids, respectively.

I also created several other grid-like network models.

 

Gris "Still life"

2)Arc, Circle

The smallest network is a string.

Matisse "Profile"

arc circle-cross model on grid

Since circles are constructed on a lattice, their diameters are all integers.

The smallest circle's diameter is one, then the rest are two, three, four, five, six and thirteen.

3) Sides of a polygon

A loop is a closed string.

This network is made of two twisted loops.

Klee "Stakim" The Art Institute of Chicago

This pattern can be seen as a mosaic.

Each part is surrounded by line segments, which is called n-sided polygon.

There are works by Klee that clearly show he was conscious of the number of sides of a polygon.

Mountain movement （ in three and four time) 1928/ Bergblume 1933　

4) Concavity

Any loop-type shape can be classified by the number of bumps and indentations.

(Concavity zero to eight)

(Tangram; Hajdu; Arp; Etruscan sculpture; Matisse; Vasarely)

5) Diagonals of circle  

Matisse made not only intuitive but also very intentional works.  

This is made 0f units: circle cross units.

Units can be placed on grid only.

arc circle-cross unit model on grid

6) Diagonal line

Klee, one of the greatest experimentalists in modern art, has work that quantify diagonal lines into integers.

Klee "Castle Hill"

7) Sides of Rectangle

Mondrian did not use Golden Section but integer ratio.

Indeed, Integral characteristics of shape is the secret cause of artistic effect.

They can be easily handled logically to make new art. 

Since observing the shape of an object involves observing its integer characteristics, 

we can think logically.

The skill of drawing remains the same regardless of time or place.