Geometry Follows Number Squares

Geometry Follows Number Squares. At one time inter-connections between seemingly different disciplines to us today were the rule, not the exception. In this current day and age, R. Buckminster Fuller was all about  interconnectedness. .  Richard Buckminster “Bucky” Fuller (/ˈfʊlər/; July 12, 1895 – July 1, 1983)[1] was an American architectsystems theorist, author, designer, and inventor. He published more than 30 books. In them he coined or popularized terms such as “Spaceship Earth“, ephemeralization, and synergetic. He also developed numerous inventions, mainly architectural designs, and popularized the widely known geodesic dome.

Image result for Buckminster Fuller on DSOworks and internal link
Fuller points the way back to inter-connections.

Here is an Ancient Example of Ancient Interconnectedness

A regular octagon has 8 sides with 8 angles at 135°/angle. 8 x 135° = 1080°. Compare this with a square based pyramid:

  • The square has 4 sides. The adjoining triangles to the square base total four sides (see picture below). Total = 8 sides.

Now total the degrees: A square based = 4 x 90° = 360°. Four triangles total 180°/triangle = 720°. Add the two as 360 + 720 = 1080. This is the same total degrees as the octagon.

Image result for wikipedia picture of a square based pyramid
Here is the 3 dimensional cousin to the 2 dimensional octagon.

In What Way is it that  Geometry Follows Number Squares?

Author, John Michell, discusses how the alternate ancient number for 1080 was 2080. We just saw two examples of 1080. How does 2080 tie in? Look at the 8 x 8 number square of antiquity. Its total of the 64 numbers is 2080.

Image result for DSOworks.com picture opf the 8 x 8 number square
The 8 x 8 number square totals all the numbers from 1 to 64. Their total is 2080. Michell explains how 2080 and 1080 were inter-related through the number “8”. In my picture we can also see the 5 x 5 number squares shares the use of number 65 with the 8 x 8: Any row of 4 numbers on the 5 x 5 totals 65. Any opposite two numbers on the 8 x 8 total 65.
Yes,  Buckminster Fuller’s use of interconnectivity has extremely ancient precedents! By this understanding I believe our civilization can cross over into a Golden Age. Here is  a fun internal link on Reviving Antiquity: Unusual Coincidence with Washington’s Monument

 

 

 

 

 

 

 

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