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Regular Polygon

A regular polygon is a plane shape with equal sides and equal angles, which means that all sides and all angles of a regular polygon are in harmony.

Common examples of regular polygons are:

  1. Equilateral triangle
  2. Square
  3. Regular pentagon
  4. Regular hexagon
  5. Regular octagon

An equilateral triangle is a triangle with three equal angles and three equal sides.

The sum of angles of a triangle is equal to 180°. Since there are three angles in a triangle, each angle in an equilateral triangle is equal to 180°/2 = 60°

We know that the length and breadth of a square are equal.

l = b

Where, l = length and b = breadth

The perimeter (P) of a square is equal sum of the four sides of the square.

P = l + b + l + b

Since l = b,

P = l + l + l + l
    = 4l

'4l' implies that the four sides of the square are equal.

A square has four angles and each angle is equal to 90°.

The angles in a polygon can be obtained via the formular of the sum of the angles of an n-sided polygon, where n is equal to the number of sides of the polygon. The formular is (n-2)180°.

A pentagon is a 5-sided polygon, which means that n = 5. A hexagon is a 6-sided polygon where n= 6. And an octagon is a n 8-sided polygon where n = 8.

Apart from the equilateral triangle, the other four regular polygons are crucial to the study of the geometric structure of the harmonious universe. The regular hexagon, for instance, denotes the six square facets of the cube representing a balanced and stable world.

Bagua or Pakua is structurally an octagon. It is broken or Yin or two (even number) if it is an irregular octagon, and unbroken or Yang or one (odd number) if it is a regular octagon.


Broken (2) = Irregular Polygon

Unbroken (1) = Regular Polygon



Qibla Compass

Qibla compass is a compass design showing clearly that Islam is a direction, and Muslims constitute just one out of the many directions of a compass. Some of the other directions of the compass are Sikhism, Gnosticism, Judaism, Hinduism, Christianity, Atheism, Psychology, Philosophy, Jainism, Zoroastrianism, Buddhism, Taoism, Baha'i Faith, Babism, Rastafarianism, etc.

Qibla compass is designed specifically to help Muslims locate the direction of Mecca and pray facing the Kaaba. Some designs have the word "Mecca" inscribed as the most prominent direction on the compass; others have the image of the Kaaba or a Mosque signifying the qibla (Muslim direction) on the compass.
Although Judaism doesn't have a compass to show Jews what direction to face during prayers, the fact that Jews all over the world pray toward the Temple Mount is an evidence that Judaism is a direction and the Temple Mount is the qibla of the Jews.
Every religion is a compass - the centre of the comp…


Space-time (also axis mundi) is the hexagon inside the hexagram where the three hands of time meet with three dimensional space.

In physics,spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensionalcontinuum. 
The hexagram ABCDEF above is the sum of two triangles: ABC and DEF. The three sides of the triangle ABC are the three hands of time, and the triangle DEF is three dimensional s[ace.

The three hands of time are:

HourMinuteSecond The three manifestations of three dimensional space are: LengthBreadthHeight In triangle ABC, Hour = AB, Minute = BC, Second = CA. In triangle DEF, Length = DE, Breadth = EF, Height = FD.
Time is the circle of the sky, and the clock is the physical manifestation of time. Since the clock is made up of hour, minute, and second, triangle ABC is Time (the clock).
The three hands of time are manifestations of the three persons of the Blessed Trinity.
Hour (AB) = Father Minute (BC) = S…


Mandala is a two dimensional representation of the axis mundi: the junction between the physical and the metaphysical. The physical is man or the earth, the metaphysical is God or heaven (sky), and Mandala is where God and man or heaven (sky) and earth are reconciled.

The universe is the sum of heaven and earth.

Universe = Heaven (Sky) + Earth

A mandala (emphasis on first syllable; Sanskrit मण्डल, maṇḍala – literally "circle") is a spiritual and ritual symbol in Hinduism and Buddhism, representing the universe(Wikipedia)
We learnt from the Taiji that the axis mundi represents balance or stability. Therefore the universe of the axis mundi is the orderly universe known as the cosmos, which means that Mandala is a two-dimensional representation of the cosmos.

"mandala" has become a generic term for any diagram, chart or geometric pattern that represents the cosmos metaphysically or symbolically; a microcosm of the universe. (Wikipedia)
Mandala is simply a square and …



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