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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 substituted by its corresponding circle. This means that the two regular hexagons corresponding to the ten sefirot are two intersecting circles, the two equilateral triangles constituting the regular hexagon are two intersecting circles, and the eight regular hexagons constituting the octet are eight intersecting circles.

Circumscribed circles are divine, since the octet is a vessel of divine information.

"Early science, particularly geometry and astrology and astronomy, was connected to the divine for most medieval scholars, and many believed that there was something intrinsically "divine" or "perfect" that could be found in circles" (Wikipedia)

As a circumscribed regular octagon, the octet is an 8-point Compass Rose with four cardinal points and four ordinal points.

The four cardinal directions are:
1. North (N)
2. East (E)
3. West (W)
4. South (S)

The four ordinal directions are:
1. North-east (ne)
2. South-west (sw)
3. North-west (nw)
4. South-east (se)

The radius of the circle is the circumradius of the circumscribed circle and the centre of the compass is its circumcenter.

Circumscribed octagon is a two-dimensional representation of the celestial sphere. This means that the sky is an octet and the eight circles representing the eight regular hexagons are the circular pathways of the eight planets of the solar system.

In other words, the eight vertices of the octagon are the eight planets of the Solar System.

Therefore the circumscribed circle is the celestial sphere. The circumcenter is the observer and the circle is the celestial equator. The celestial sphere is a coin made up of a head and a tail. The head is northern celestial hemisphere or the visible side of the coin and the tail is the southern celestial hemisphere or the invisible side of the coin.

Since Dome of the Rock is the earthly emanation of the octet, the sanctuary is made up of northern and southern hemispheres. The visible structure is the northern  hemisphere, and the southern hemisphere is the structure buried under the sanctuary; there is an exact replica of Dome of the Rock buried under the Temple Mount.

Since the octet is Bagua, Dome of the Rock is the physical manifestation of the famous Bagua (heaven) described in Chinese Cosmology. The rock at the centre of the sanctuary is the "Supreme Ultimate" Taiji.



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…


The Monad (1) is an encycled dot or point O, representing the Alpha and Omega,  constructed using a compass and a pencil. The center of the circle is the origin or source of all things and the circumference of the circle is the end or crown of everything, such that the Monad is the first and the last; the beginning and the end.

Creation of the Cosmos is construction of geometric shapes. The most important part of the process of creation is the construction of the first day and the last day. The two days were constructed simultaneously.

God constructed the first day when he said "let there be light!" (Genesis 1:3) "NIV"

The light that appeared on the first day of creation of the Cosmos is the halo - a ring of light.

The last day is the seventh day when God rested from his work of creation of the harmonious world. "By the seventh day God had finished the work he had been doing; so on the seventh day he rested from all his work." (Genesis 2:2) 'NIV"…

Mandala, Israel and Geometry of the Axis Mundi

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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