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File:New Jerusalem (Michell) Sacred Geometry.svg

Original file ‎(SVG file, nominally 700 × 700 pixels, file size: 2 KB)

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Summary

Description

A diagram of the "New Jerusalem" sacred geometry structure of quasi-mystical author John Michell. Color code:

Grey
The twelve moon-diameter circles ("pearls" or "gates"). Relative linear size 3.
Green
The basic earth-diameter circle (its circumference is tangent to the circumferences of the twelve circles). Relative linear size 11.
Brown
The square which encloses the earth-diameter circle, and also the circle which goes through the centers of the twelve circles. This square and circle have the same approximate perimeter length (i.e. an inexact "squaring of the circle"). Four of the small circles have circumferences tangent to the perimeter of the square, while the other eight small circles are positioned so that the intersections of the brown circle and square are on the circumference of a small circle.
Yellow
A heptagram (seven-pointed star) enclosed within the brown circle. Due to various coincidences (such as that the angle "B" defined in the PostScript code below, 25.8395856°, is almost the same as 360°/14 or 25.7142857°), a heptagram drawn between centers of the small circles and points where the circumferences of the small circles intersect the brown circle is a fairly close approximation to a regular heptagram.
Black
Other construction lines, including a slightly-irregular dodecagon which encloses the whole figure. The squares enclosing the four central small circles are not shown, since they clutter the diagram (and give the impression that the other eight small circles might be tangent to such squares, which they aren't). However, the eight interrupted black diagonal line segments each continue a line drawn from the center of the whole diagram to an inner vertex of such a square.
Many other construction lines could be included, such as four evenly spaced equilateral triangles surrounding the innermost (black) circle (instead of just two), four 7/2 heptagrams (instead of just one), four 7/3 heptagrams, a large circle enclosing the twelve small circles (i.e. inscribed within the outer dodecagon), two perpendicular intersecting vesica piscis diagrams enclosing the brown circle and square, the 3-4-5 Pythagorean triangles connecting the square enclosing the earth circle with squares enclosing four central moon circles, or the radial black line segments could be extended to the center of the diagram, etc. etc.
Date
Source Created from scratch by User:AnonMoos based on the abstract geometric relationships explained in the book City of Revelation: On the Proportions and Symbolic Numbers of the Cosmic Temple, ISBN 0-345-23607-6 (but is not a direct copy of any particular diagram in the book).
Author AnonMoos
SVG development
InfoField
 
The SVG code is valid.
 
This symbol was created with PostScript.
Source code
InfoField

PostScript code

%!
306 396 translate .8 dup scale
/A 12.3736251 def % arctan(60/sqrt(280^2-60^2))
/B 25.8395856 def % arctan(sqrt(280^2-220^2)/220)-A
/C{closepath stroke}def 
/D 96.3809406 def % 340*(60/sqrt(220^2-60^2))
3 setlinewidth
-340 D neg moveto -340 D lineto
-244.417 244.417 lineto
D neg 340 lineto D 340 lineto
244.417 244.417 lineto
340 D lineto 340 D neg lineto
244.417 -244.417 lineto
D -340 lineto D neg -340 lineto
-244.417 -244.417 lineto
closepath gsave 1 setgray fill grestore stroke
-220 -60 moveto -340 D neg lineto stroke
-220 60 moveto -340 D lineto stroke
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220 -60 moveto 340 D neg lineto stroke
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B sin 280 mul B cos 280 mul 60 0 360 arc fill
B sin 280 mul neg B cos 280 mul 60 0 360 arc fill
B cos 280 mul neg B sin 280 mul 60 0 360 arc fill
B cos 280 mul neg B sin 280 mul neg 60 0 360 arc fill
B sin 280 mul B cos 280 mul neg 60 0 360 arc fill
B sin 280 mul neg B cos 280 mul neg 60 0 360 arc fill
1 .95 .667 setrgbcolor 1 setlinejoin
0 280 moveto A cos 280 mul A sin 280 mul neg lineto
B sin 280 mul neg B cos 280 mul neg lineto
A B add cos 280 mul neg A B add sin 280 mul lineto
A B add cos 280 mul A B add sin 280 mul lineto
B sin 280 mul B cos 280 mul neg lineto
A cos 280 mul neg A sin 280 mul neg lineto C
0 setgray
0 220 moveto 110 3 sqrt mul -110 lineto
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0 -220 moveto 110 3 sqrt mul 110 lineto
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60 -220 moveto D 60 sub 20 div -6 rlineto stroke
-60 -220 moveto D 60 sub 20 div neg -6 rlineto stroke
-220 220 moveto -244.417 244.417 lineto stroke
220 220 moveto 244.417 244.417 lineto stroke
220 -220 moveto 244.417 -244.417 lineto stroke
-220 -220 moveto -244.417 -244.417 lineto stroke
.6 .4 .2 setrgbcolor
-220 220 moveto 220 220 lineto
220 -220 lineto -220 -220 lineto C
0 0 280 0 360 arc C
.6 .55 .65 setrgbcolor
0 -280 60 0 360 arc C 280 0 60 0 360 arc C
0 280 60 0 360 arc C -280 0 60 0 360 arc C
B cos 280 mul B sin 280 mul 60 0 360 arc C
B cos 280 mul B sin 280 mul neg 60 0 360 arc C
B sin 280 mul B cos 280 mul 60 0 360 arc C
B sin 280 mul neg B cos 280 mul 60 0 360 arc C
B cos 280 mul neg B sin 280 mul 60 0 360 arc C
B cos 280 mul neg B sin 280 mul neg 60 0 360 arc C
B sin 280 mul B cos 280 mul neg 60 0 360 arc C
B sin 280 mul neg B cos 280 mul neg 60 0 360 arc C
.25 .75 .5 setrgbcolor
0 0 220 0 360 arc C showpage
%EOF

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Date/TimeThumbnailDimensionsUserComment
current18:29, 27 August 2008Thumbnail for version as of 18:29, 27 August 2008700 × 700 (2 KB)AnonMoosA diagram of the "New Jerusalem" sacred geometry structure of quasi-mystical author John Michell. Created from scratch by User:AnonMoos based on the abstract geometric relationships explained in the book "City of Revelation" ISBN 0-3

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