********** Magic Circle **********
figure 3: a magic
circle created around the 13th century by Fai Young
The sum of the numbers on each circle
is always 138. If we take away the central number (i.e. 9), then the sum of
the numbers in each straight line is also always 138.
Reference:
Comments by (Keith) Kut Man HUNG:
If we take away the central number, 9, we can
reconstruct this magic circle into a magic polyhedron.
The top and bottom faces of the polyhedron are regular octagons, just
like the innermost and the outermost circles of the above figure. These circles
have 8 numbers on them, similar to the corners of an octagon. This polyhedron
is of 8 sides. Each side is in the shape of a bulging octagon.
The top octagon is composed of the numbers 10,
22, 7, 30, 2, 18, 25, 24 at its corners (sum = 138). These numbers are the numbers
of the innermost circle of figure 3.
The bottom octagon is composed of the numbers
20, 33, 12, 4, 6, 8, 28, 27 at its corners (sum = 138). These numbers are the
numbers of the outermost circle of figure 3.
The side octagons (as viewed from one side; the
octagon actually is not flat.) are composed of the following numbers: (These
numbers are the numbers of 2 adjacent branches of figure 3.)
|
octagon
|
numbers
|
sum
|
|
1
|
20, 16, 23,
10, 22, 13, 1, 33
|
138
|
|
2
|
33, 1, 13,
22, 7, 19, 31, 12
|
138
|
|
3
|
12, 31, 19,
7, 30, 14, 21, 4
|
138
|
|
4
|
4, 21, 14,
30, 2, 29, 32, 6
|
138
|
|
5
|
6, 32, 29,
2, 18, 26, 17, 8
|
138
|
|
6
|
8, 17, 26,
18, 25, 11, 5, 28
|
138
|
|
7
|
28, 5, 11,
25, 24, 3, 15, 27
|
138
|
|
8
|
27, 15, 3,
24, 10, 23, 16, 20
|
138
|
The 4 bisectional octagons (as viewed from above)
are composed of the numbers in each straight line (9 is excluded.) of the magic
circle. Their sums are 138.
The 4 horizontally dissecting octagons (as viewed
from above) are composed of the numbers on each circle of figure 3. Their sums
are 138.
In the processing of the above research, I also created two
other similar magic circles:
The sum of the numbers on each circle
is always 138. If we take away the central number 9, then the sum of the numbers
in each straight line is also always 138. And of course, each magic circle can
create a magic polyhedron.
written on May 17, 1999
P.S. The above research is to
convert a 2-dimensional magic figure into a 3-dimensional magic diagram. In
a 2-dimensional magic circle, if we only focus on the outermost circle, the
2 numbers in the directly opposite positions are not connected together. These
2 numbers, however, are connected in a 3-dimensional magic diagram. This is
similar to us, human beings, living in a 3-dimensional world (or 4-dimensional
if time is included). We cannot pass through wall to go inside a closed room
because we are confined to our 3-dimensional world. Jesus Christ, however, entered
a closed room without breaking the wall or door to meet his disciples (John
20:19 & 26). Jesus Christ must be in control of some extra dimensions, beyond
our 3-dimensional world (or 4-dimensional if time is included).
Reference: "Beyond the Cosmos: The
Extra-Dimensionality of God/What Recent Discoveries in Astronomy & Physics
Reveal About the Nature of God" by Dr. Hugh Ross, Ph.D.
|
Because God is almighty, so His ability cannot be confined by the limited
dimensions in which we are living. Or, even if the universe is composed
of n dimensions, and n tends to infinity (n 
 ), then God may exist in at least
n + 1 dimensions, so that He can effectively manage the universe. But
if this is so, does it mean that God is confined by the n + 1 dimension?
Similar to Jesus, due to self-confinement to our 4-dimenional space, he
carried difficultly the heavy cross to Golgotha, and the Roman soldier
seized a man from Cyrene to carry it for him. Does it mean that Jesus
Christ cannot carry the cross easily, or as in the later time, he cannot
come down from the cross? This is due to his self-confinement, self-confined
to our existing 4-dimensional world. Back to the first question, God is
not confined by the n + 1 dimension, where n tends to infinity (n
). In this way, does it mean that
God exist in the n =
dimension? This is an abstract concept. We can think in this way, God
is not confined by the concept of n dimensions in mathematics or science,
and He can act by breaking the logic in mathematics or science.
An old question: Can God lift up a stone that He cannot lift?[note] Similar
to the above inference, the stone, that cannot be lifted up, is due to
God's self-confinement to the n-dimensional space in which the stone exists.
He can simply lift it up through the n + 1 (or even larger) dimension.
I am pondering about a question: Is there any correlation between eternity
and the n =
"dimension"?
(The above discussion is only my opinion.)
written on March 22, 2002 & re-written
on August 23, 2002
[note] The original question is: Can
God make a stone so heavy that he cannot lift it?
'With all our thoughts we can't get beyond the visible and physical. No man's heart comprehends eternity.'
----by German Reformer Martin Luther in 1538
'When God entered time and became a man,
he who was boundless became bound. Imprisoned in flesh. Restricted by
weary-prone muscles and eyelids. For more than three decades, his once
limitless reach would be limited to the stretch of an arm, his speed
checked to the pace of human feet.'
----by Max Lucado (excerpt from His Passion by Integrity Publishers)
Written on April
19, 2009.
By the same token, we can draw a circle and a dot in one continuous
pencil movement on a piece of paper. This circle and the dot are
separately located, not connected. How? Please think for a moment before
you
click for the answer.
That means a puzzle which cannot be solved on a 2-dimensional plane,
can be solved in a 3-dimensional environment.
|
Do you know why Fai Young put a
number 9 at the centre of the magic circle? Think for a while and click 
.
Further, I created the following 45 magic circles.
Try to figure out how these magic circles were created. If you still cannot
find out the method, please click
(think
a bit more time before you click)
Do you want to know what a 6-dimensional Magic
Cube is? If yes, please click HERE.
|
After some research on Fai Young's original works, the original related
magic circle is as follows:
which is equivalent to
It says the sum of the numbers along the straight (vertical or horizontal)
or tited lines or the circumference equals 147, which means the number
9 at the centre is included in the calculation (138 + 9 = 147).
Reference: 
written on October 1, 2002
|
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