geometrical puzzles of fine arts

geometry in figures of logic puzzles

landscape design of Japanese garden
geometrical figure of heptagon
fine arts and architecture

Page 4.

drawing art compositions
golden section in crossing of lines
structures of a man in astrological circle
heptagonal linear figures
symbols and art drawings

geometry of the fine arts and design  

Figures of logic puzzles and landscape design.
The fourth page results logic games and puzzles which are made of figures in space of diheptagonal geometrical linear network.

The information on geometrical figures and geometry of the fine arts can be considered in landscape design and gardening, as landscapes of gardens and architectural spaces of parks are perceived harmoniously if arrangements of trees and paths follow mathematical proportions of correct polygons.
Landscape designers and gardeners can consider geometrical compositions or otherwise tell mathematical patterns of proportional spatial ratios in drawings on this page.


Geometrical figures and logic puzzles.
Geometry of the fine arts and landscape design.

Any geometrical figures can be considered as objects of logic puzzles, as any polygon have a cipher of mathematical proportions which can be a source of logic reflections.
Geometrical puzzles in lines of correct polygons can be considered not only as logic but also harmonious, as figures of correct polygons have ciphers of world global harmony and beauty which is conformable to a human nature and possesses harmonious influence on human perception. Including logic puzzles in the linear space of correct heptagon can be considered as harmonious, because the diheptagonal geometrical network of lines allows to reflect not only above laws and principles of geometry, but also allows to carry out reflection about laws of mathematical harmony.

geometrical composition by means of five figures in logic riddles and games

drawing of logic puzzle for reflection about laws of mathematical harmony

logic puzzles in polygons have a cipher of mathematical proportions

First drawing is the logic puzzle where problem offers to cut diheptagonal linear network and to isolate figures of set-squares which allow to construct the shown geometrical composition.
The following drawing is the similar puzzle in which too it is necessary to combine the shown geometrical composition by means of five isolated figures.
The third drawing is the puzzle where problem offers to isolate seven figures of set-squares and to combine the shown geometrical composition.
In each puzzle all figures should be isolated from one diheptagonal networks of lines.
Images of linear networks of various polygons can be downloaded free of charge in PDF files, then it is possible to print pictures and to use for decisions of logic puzzles and various geometrical problems, and including tasks of the fine arts or landscape design.

images of polygons for printing can be downloaded free of charge - 54kb.

The shown puzzles are examples of many other geometrical problems or otherwise to tell logic riddles and games.
Pay attention, if you will solve the shown puzzles, that some lines of figures in geometrical compositions coincide inexactly, that is caused by fundamental features of geometrical harmony in diheptagon. These inexact concurrences are sizes of mathematical ratios which can be seen in proportions of a human body.
In view of mathematics for creation of puzzles it is better to use dihexagonal linear network in which all lines coincide precisely, but however diheptagon network is much more interesting, as heptagon corresponds to ideal beautiful proportional shapes of a human body. If to compare geometrical puzzles which can be constructed on bases of different polygons then dihexagonal combinations of figures seem correct or regular, and diheptagonal compositions seem beautiful.
Look additional information on harmonious proportions and features of various polygons on pages of other website:
The information about human perception of geometrical proportions in figures of different polygons can be interesting in view of landscape design and in the fine arts, and also in the fashion industry.


At the end of this page I offer to look three abstract compositions which are constructed by means of figures which are isolated from the diheptagonal linear network.
First and third abstract compositions have casual arrangements of set-square figures, and positions of figures in the second composition are focused concerning lines of network.
Designers can similarly build landscapes of gardens and parks, namely can create abstract arrangements of trees or park paths according to proportional combinations of geometrical set-squares which can be used as measuring tools for landscape design.

proportional combinations as measuring tools for landscape design abstract compositions in figures of linear network as drawing of the fine arts landscapes of gardens and parks as geometrical figures of polygons

And also I bring to your attention two abstract art compositions in which proportional human shapes of bodies are ciphered.
Similarly fashion designers can create drawings of clothes by means of set-squares as measuring tools to model ideal proportions of geometrical patterns of a human body.

abstract art compositions and proportional human shapes of a body drawings of clothes by means of measuring tools for fashion designers

Besides I give the abstract self-portrait which is constructed according to geometrical principles and according to positions of astrological planets which was on the sky at the morning of February, 17, 1967.
The self-portrait is in context of astrology as drawing of a body is constructed of lines which connect planets within astrological circle of my birth chart.

abstract self-portrait according to geometrical principles of astrological planets drawing of a body and lines of planets within astrological circle of birth chart


Geometrical concepts of the shown self-portrait consist that one of tops of diheptagonal linear network is combined with the planetary symbol of the sun within the astrological circle and accordingly lines of diheptagon correlate with positions of planets in birth chart.
Body shapes in self-portrait are drawn according to lines of diheptagonal network and according to lines which connect positions of planets. Namely it is possible to tell that this astrological self-portrait is constructed according to linear structures of diheptagon which is coordinated with positions of planets in the birth chart.
Hands and legs of human body can be compared to any points and lines which form a self-portrait, but top of a head should be compared with position of the sun which connects birth chart to linear structures of diheptagon, as one of tops of diheptagonal figure is combined with the sun.
Colors of geometrical figures in space of self-portrait are connected with color characteristics of planets in a context of astrology.
The information on colors of planets in astrology I shall try to publish in the future on pages of this art gallery of phantom images.
If it is necessary I can draw astrological or geometrical portrait of any person.
The shown images are pictures of computer design, but also art portraits of people can be drawn with real paints or can be printed on real paper.
Portraits can have codes of many other astrological and geometrical ratios which symbolize individual psychological features of people.
Each portrait can unite some figures which are variants of human individuality.
Or body shapes of several people can be connected in portraits.

Arrangements of stones in Japanese rock gardens can be similarly organized according to lines of geometrical networks and positions of astrological planets in birth charts of people, that can be interesting in view of landscape design and gardening art.
The information on geometry of Japanese gardens of stones look on pages of this web-site in other section which has the name: garden of stones.
Or in the industry of fashion design it is possible to model clothes according to ratio of planets in astrological birth charts of people with linear networks of geometrical polygons.
And also it is possible to solve many other tasks of fine arts according to ratio of somatic forms and shapes of human bodies with geometry of polygons and planets in astrology.

I hope that this page in art gallery of phantom images will allow to see structures and forms of world around in a new fashion or in a new perspective of spatial landscapes.

The following page shows ideal patterns of human bodies in spaces of diheptagonal linear network according to geometrical measurements in lateral perspectives, and also in non-standard spatial poses.

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