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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.
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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. The shown puzzles are examples of many other geometrical
problems or otherwise to tell logic riddles and games. |
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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.
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.
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.
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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.