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Gallery of universal triangles.
Hexagram i-jing 15.

1. Perfect world.
CRAB - cardinal sign and second quarter of zodiac.
SCORPIO - firm sign and third quarter of zodiac.
VIRGO - mutable sign and second quarter of zodiac.

2. Person.
LIBRA - cardinal mark and elements of air.
SCORPIO - firm mark and elements of water.
GEMINI - mutable mark and elements of air

3. Imperfect world - unconscious sphere.
GEMINI - initial third of astrological circle and symbol of air element.
SCORPIO - middle third of zodiacal circle and symbol of water element.
AQUARIUS - last third of astrological circle and symbol of air element.

4. Imperfect world - conscious sphere.
AQUARIUS - third segment of zodiacal chart and air natural elements.
SCORPIO - second segment of zodiacal chart and water natural elements.
GEMINI - first segment of zodiacal chart and air natural elements.

5. Discrete world - astral sphere.
AQUARIUS - area of slow planets - air elemental nature.
SCORPIO - area of less rapid planets - water elemental nature.
GEMINI - area of fast heavenly bodies - air elemental nature.

6. Discrete world - ethereal sphere.
LIBRA - slow heavenly bodies and air elementals.
CRAB - less rapid heavenly bodies and water elementals.
GEMINI - fast planets and air elementals.

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The shown geometrical triangles and charts of world reality can interest mathematicians and people who are interested in mathematics, because hexagrams of the Chinese Book of Changes i-jing are symbols which can be considered as numbers or ciphers of binary system of mathematical notation, and also as numerical signs which symbolize logic principles according to which dual or otherwise to tell dichotomizing structure of universe, and in particular structural matrix of discrete world is organized.

Next 16 hexagram.
Information about Chinese Book of Changes and numbers of binary mathematical notation.