🔺Giza Pyramid Geometry: Squaring the Circle by Length

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In this video I show that the Great Pyramid of Giza has encoded within its geometry an approximation for squaring the circle by length. Squaring the circle involves constructing a square via a finite number of steps with only a straight edge and compass such that the square as the same area or perimeter / circumference as a given circle. The Giza Pyramid encodes this geometry in the slope of its middle cross section. Drawing 2 pyramids in mirror images of each other and setting the base length to 1 yields a square with a perimeter of 4 and a circle that is approximately 4. This is quite remarkable, and in my view is likely intentionally designed this way! Pretty remarkable stuff!

Video links:

MES Links: https://mes.fm/links
- YouTube playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HIzqSVzEURzhMphO9ePJ22
- Pi, e, and Golden Ratio: https://t.me/meslinks/22693
- 180 degrees in triangle:
- Additional Calculations are just basic Trigonometry: https://en.wikipedia.org/wiki/Trigonometric_functions
Great Pyramid of Giza Wiki: https://en.wikipedia.org/wiki/Great_Pyramid_of_Giza
Mathematical Encoding in the Great Pyramid: https://www.ancient-origins.net/ancient-places-africa-opinion-guest-authors/mathematical-encoding-great-pyramid-002323
GeoGebra 3D Graphing Calculator: https://www.geogebra.org/3d/wcb9fjwk
Giza Pyramid Sketchup file: https://app.sketchup.com/share/tc/northAmerica/hijBGHtUtjM?stoken=OwuxUSgVknsEJc7AQG96CjwY2DCAadxNKgNsDXn7sTgIONxVngVbY3FeU4yeHzqm&source=web
Giza Pyramid Comparison with WTC and Other Objects: https://app.sketchup.com/share/tc/northAmerica/RiAsZfrS5yw?stoken=cCX15IvybCIgUrwQw5F8dgUCura00Jz5iZtNKc4f-EFo3m3mRRpNPb94lbdtoGIL&source=web
- Note that I couldn't get the Pyramid EXACTLY to scale, but it is close enough.
MES Excel file: https://1drv.ms/x/s!As32ynv0LoaIitdGbCzJWO6idv8pTg
- Circumference of a circle = pi * diameter = 2 pi * radius: https://en.wikipedia.org/wiki/Circumference
- GeoGebra Giza Pyramid 2D: https://www.geogebra.org/calculator/qkrmhcz3
- Squaring the Circle wiki: https://en.wikipedia.org/wiki/Squaring_the_circle
- Straight Edge and Compass: https://en.wikipedia.org/wiki/Straightedge_and_compass_construction
- Transcendental Numbers:
- Rational Numbers: https://en.wikipedia.org/wiki/Rational_number

Timestamps:

Intro and Links: 0:00
MES Links and playlist: 2:04
Recap on previous video: 2:32
- Triangle angles sum to 180 degrees: 3:21
- Trigonometry recap: 3:51
Squaring the circle by length from Ancient Origins website: 6:14
GeoGebra 3D graphing calculator: 7:19
Sketchup 3D models of the Giza Pyramids: 7:55
Sketchup comparison between Giza Pyramid and WTC: 8:42
MES Excel File: 10:25
Circumference of a circle: 11:57
GeoGebra 2D graphing calculator: 12:08
Squaring Circle wiki: 13:13
- Compass and Straight Edge: 13:30
- Pi is a transcendental number: 14:19
- Rational number: 14:45
Outro: Likely intentional by the Giza builders: 15:52 .