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7月28日

DRAWING THE "JESUS TOMB" SYMBOL, PART 15

 

DRAWING THE “JESUS TOMB” SYMBOL, PART 15

 

The focus of this post is the nine-point star and I eventually get around to the tomb symbol at the end.

 

I am continuing here with my series about the large symbol found on the Talpiot tomb in Israel (aka “The Lost Tomb of Jesus”).  The symbol is a stone relief sculpture of a small circle within an upside-down Y-shape.  (More on the tomb here.)  

 

I have been making designs derived from the tomb symbol.  Generally, I am going by what I observe in my drawings; I am not attempting mathematical proofs.  As I go along I define whatever terms I need to, but might not repeat definitions in each post.  So this post should be read in conjunction with the previous ones.  (Index.)

 

In the following image are two nine-point stars.  One is made by having the horizontal line link the topmost left and right points (pink star) and rotating in increments of 40 degrees (9 times 40 equals 360 degrees).  A more pointy nine-point star (yellow) is made by having the horizontal line link the next lower left and right points.  Two additional nine-point stars are formed within the yellow star, and these are shown in turquoise and gold.

 

Full-size image

 

In the following image a nine-sided polygon is drawn around the combined nine-point stars.  This forms nine equilateral triangles (red) within the arms of the pointy star.  Also, there are three equilateral triangles (shown in three shades of green) at the center of the star design. 

 

Full-size image

 

The following image shows that there are various triangles in the combined nine-point star design that are triangles of 40-100-40 degrees.  Just wonderful to see this pattern repeating throughout the design.  Each turquoise triangle of 40-100-40 degrees is composed of two pink triangles that are also 40-100-40, plus a center triangle made from a bit of the pointy star (where each tip is 20 degrees).  Other 40-100-40 triangles are shown in gold and purple.  The lavender inward-pointing corners are 100 degrees.

 

Full-size image

 

In the following image I attempt a bit of high school math to define the various angles in the combined nine-point star design.  All those angles I have examined so far are multiples of 10!  Incredible – multiples of 10!!! 

 

Full-size image

 

I should mention here that some of my images are very wide and when shrunk down to fit in this column, they lose a lot of detail.  To view a full-size image in this series, click on “Full-size image” under the image, then click on the image to open or click “open.”  Then hover your cursor over the image to get a pop-up button in the lower right corner (or other feature depending on your browser – this will take a few moments), and click on that to get the actual full-size.

 

I’ll add here the mathematical explanation of the angles shown in the image above:

 

Angle ACB = 360° ÷ 9 = 40°.

Angle ACD = angle ACB ÷ 2 = 20°.

Angle CAD = 70° (sum of angles in right triangle ADC = 180°).

Angle CQR = 70° (sum of angles in right triangle CRQ = 180°).

Angle DQP = angle CQR = 70° (symmetrical intersecting lines).

Angle PQR = 40° (sum of angles on one side of a line = 180°; (180 – (70 + 70) = 40)).

Angle QPR = 50° (sum of angles in right triangle PRQ = 180°).

Angle APS = angle QPR = 50° (symmetrical intersecting lines).

Angle QPS = 80° (sum of angles on one side of a line = 180°; (180 – (50 + 50) = 80)).

Angle PSQ = 30° (sum of angles in triangle SPQ = 180°).

Angle ASD = angle PSQ = 30° (symmetrical intersecting lines).

Therefore, triangle ASB is an equilateral triangle.

Angle DAS = 60° (sum of angles in right triangle ADS = 180°).

Angle ASP = 120° (sum of angles on one side of a line = 180°; (180 – (30 + 30) = 120)).

Angle PAS = angle CAD – angle DAS = 70° – 60° = 10° (also, sum of angles in triangle ASP = 180°).

Angle TAU = 50° (line crossing parallel lines makes some equal angles; vertical CU crosses parallel lines AT and BP).

Angle CAY = angle TAU = 50° (symmetrical intersecting lines).

Angle SAY = angle CAY – angle CAS = 50° – 10° = 40°.

Angle DAY = angle CAD – angle CAY = 70° – 50° = 20°.

Angle AYD = 70° (sum of angles in right triangle ADY = 180°).

Angle CYZ = angle AYD = 70° (symmetrical intersecting lines; also, sum of angles in right triangle CZY = 180°).

Angle AYZ = 40° (sum of angles on one side of a line = 180°; (180 – (70 + 70) = 40)).

Angle AEY = 100° (sum of angles in triangle AEY = 180°).

Therefore, triangle AEY is an isosceles triangle of 40-100-40 degrees.

Angle CAH = angle CAD = 70° (symmetrical intersecting lines).

Angle HAJ = 40° (sum of angles on one side of a line = 180°; (180 – (70 + 70) = 40)).

Angle DAK = angle HAJ = 40° (symmetrical intersecting lines).

Therefore, triangle AKB is an isosceles triangle of 40-100-40 degrees.

 

I’d like to pause for a moment to reflect on the angles present in the nine-point star (multiples of 10), the angles in the 6-point and 12-point stars (multiples of ten, such as angles of 30, 60, 120 and 150 degrees), and the five-point star (all integers), at least that is the case for all those angles I’ve examined so far.  Why are there 360 degrees in a circle?  I don’t recall reading anything on this, but I suspect it has something to do with these stars.  Perhaps the circle was divided into increments of 360 so that the internal angles and external angles of these stars could all be multiples of 10 or integers.  It seems to work out if you use a decimal number system (base 10).  Let’s assume that the decimal number system is favored by humankind because we have ten fingers and ten toes.  Then consider the awesome convergence of biology, number systems, and the fixed angles in stars.  Consider the possibility of intelligent design.

 

What I’ve done in the following drawing is manipulate the combined nine-point star design to give it 36 points (first copy, invert, paste, then copy, rotate 90 degrees, paste).  The tomb symbol angle in its original position (see Part 1) intersects its enclosing circle at arcs of 120 degrees (arcs centered on the center of the enclosing circle).  The nine-point star has tips that fall out at 120 degrees of arc.  With this in mind, I rotated the tomb symbol angle (red) in increments of 10 degrees so that the tips of tomb symbol angles meet the tips of the rotated stars – a pretty design. Then I noticed something unexpected:  the crisscrossing lines of rotated stars (indigo) seem to intersect right at the rotated apices of tomb symbol angles.  To emphasize this, I added the tomb symbol in pale green under the drawing, showing the outline of the tomb symbol angle in its original position, to highlight how its apex seems to meet star lines. 

 

Full-size image

 

I feel like my mind is going places it has never gone before.  No reruns here.  Continued here.

 

-2008-

 

Slide show, music, and folders on my main page.

X Keywords:  symbol design how to draw math geometry MSN Windows Live Spaces X

This post was posted on October 16, 2008.

 

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