File:New Jerusalem (Michell) Sacred Geometry.svg

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[edit] Summary

A 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 0-345-23607-6 (but is not a direct copy of any particular diagram in the book).

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 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, or the radial black line segments could be extended to the center of the diagram, etc. etc.

The SVG file was converted from the following PostScript code:

%!
306 396 translate .8 dup scale
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/B 25.8395856 def % arctan(sqrt(280^2-220^2)/220)-A
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/D 96.3809406 def % 340*(60/sqrt(220^2-60^2))
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B cos 280 mul neg B sin 280 mul neg 60 0 360 arc fill
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220 -220 moveto 244.417 -244.417 lineto stroke
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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

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Azərbaycan | Беларуская (тарашкевіца) | Български | Català | Cebuano | Soranî / کوردی | Česky | Cymraeg | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | Estremeñu | فارسی | Suomi | Français | Galego | עברית | हिन्दी | Hrvatski | Magyar | Հայերեն | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Ripoarisch | Kurdî / كوردی | Latina | Lietuvių | Latviešu | 文言 | Македонски | Bahasa Melayu | Plattdüütsch | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Vèneto | Tiếng Việt | Walon | 吴语 | 中文 | ‪中文(简体)‬ | ‪中文(繁體)‬ | 粵語 | +/−

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• Usage of New Jerusalem (Michell) Sacred Geometry.svg on enwiki
  • Cosmogram
  • John Michell (writer)