Playing with Pythagoras

Pythagoras' Theorem says that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the other two sides.  We have seen recently a study of such triangles with  sides being consecutive Fibonacci numbers:-
What if we play with them and make some shapes:-

Notice the Lucas Series within them:-

Now, what would they look like actual size?  I can only make up to 144 cm side, out of paper:-

What if we make a spiral by hanging the point from ceiling and easing the paper into a cone"-

Flatten the model:-

One could go on forever.  A funny kind of stairway to heaven, with straight path up and down and right angles.  Maybe a kind of ziggurat might be made.  The Tower of Babel of biblical fame,  in Mesopotamia (Iraq), was a ziggurat of some kind.

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  INSERT     **6/7/2015------- A Very Exciting Video on YouTube!
 "The Hidden Secrets of  the Great Pyramid's Construction Uncovered."

uploaded by LEXXTEX - 293  August 28, 2012

French architect Jean-Pierre Houdin intuited that the stones were added via AN INTERNAL RAMP.
He undertook studies on his own accord,  and later met up with New York Egyptologist Bob Brier who travelled with him to Giza and they followed through M.Houdin's ideas to test and verify, and film them.
In 1986 French engineers took thousands of microgravimetric measurements which showed zones of significant sub density.At France's MIT,  M. Houdin was shown drawings of  square spiral shape  of 7 degrees slope inside the Giza Pyramid which corresponded to the 15% missing space inside the Pyramid.  The French engineers did not know what to make of it-  but M. Houdin immediately knew.

And I flashed onto my own square spiral= this Playing with Pythagoras!  It may be possible for me to contact M. Houdin on his website or Facebook  and venture to ask him if there is any good correlation....

At 42:34 minutes  find   --- Scientific 3D Software made a simulated 3D model of Khufu.
This is entirely magical science and most beautiful final to the story-
 tho there is always more... for example--- why?  Maybe aliens can tell us....?

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Another video fortuitously found video isUnsolved Mysteries.  The Secret of Easter Island.  by Blue Globe.  Sept 1, 2014
The Statues walked!  With the help of 3 teams of people with ropes attached to the statue.
 Slope of roads from Quarry were 3 degrees uphill and max 6 degrees downhill!  12 miles.
At 45: 20 minutes,  and I promise you, the whole story is just as fascinating as the Giza pyramid story.

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We can make another Pattern when we put the right angled Fibonacci triangles heel to toe, and if we make its mirror image:-

This reminds me of a Mandelbrot form I saw at the end of Alex Putney's  free online book on Kundalini in http//:www.human-resonance.org
It also reminds me of the Theoretical Christmas Tree I published here Christmas 2011.
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