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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.

Therefore,

Broken (2) = Irregular Polygon

Unbroken (1) = Regular Polygon

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Four-dimensional Space

In harmony, 4-D space (four-dimensional space) is a tesseract comprised of an outer large cube representing 3-D space and a small invisible inner cube representing the fourth dimension.

The two cubes are space and time, such that the tesseract is spacetime.

Spacetime implies equilibrium between space and time.

A cube is made up of the following three equal sides:

1. Length (l)
2. Breadth (b)
3. Height (h)

The three sides are three dimensions of space such that the cube represents three-dimensional space.

Time (the fourth dimension) has the following three sides:

1. Hour
2. Minute
3. Second

Time is the reflection of space, which means that time is a cube in another dimension.

Since length is l, breadth is b and height is h, hour is l', minute is b' and second is h'. l', b' and h' are reflections of l, b and h respectively, such that time is the image of space.

There is a mirror between time and space. When a cube is placed in front of a mirror, the image in the…

Yinyang in the Holy Bible

Yinyang is the pillar of cloud and the pillar of fire described in Exodus 13:21-22. The pillar of cloud is darkness (Yin), the pillar of fire is light (Yang), such that the two pillars are Yinyang.

"During the day the LORD went in front of them in a pillar of cloud to show them the way, and during the night he went in front of them in a pillar of fire to give them light, so that they could travel night and day. The pillar of cloud was always in front of the people during the day, and the pillar of fire at night." (Exodus 13:21-22)

Note that Yinyang is not 'Yin Yang'. Yinyang implies unity or reconciliation and 'Yin Yang' means division or conflict.

The Israelites left Egypt as a united people, which implies that their journey from Egypt to the Promised Land was governed by the force of Yinyang (not Yin Yang).

Yinyang is only one word. Yin Yang are two words.

Yinyang = 1 (unity or neutrality)

Yin Yang = 2 (division or polarity)

Day and night are two equal hal…

Circumscribed Circle

In geometry, a circumscribed circle (also circumcircle) of a polygon is a circle enclosing a cyclic polygon such that the circumference of the circle passes through all the vertices of the polygon.

All triangles and all regular simple polygons are cyclic polygons, which means that equilateral triangle, regular cyclic quadrilateral, regular pentagon, regular hexagon and regular octagon are cyclic polygons.

Recall that an octet is a regular octagon comprised of regular hexagons and equilateral triangles. Since these three geometric shapes are cyclic polygons, an octet is a circle comprised of circles.

In logical reasoning, the intersection between two equilateral triangles is a conjunction between two circles or two rings. Two circumscribed equilateral triangles are merged to form a circumscribed regular hexagon, and eight circumscribed regular hexagons are fused to form a circumscribed regular octagon.

Since the three geometric shapes are circumscribed polygons, each one can be substi…

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