below image: G1 and S1
...viewed from the south
and facing roughly NNW
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liking the sphere, let's make it solid for a minute...
...and give it an... opaque, mirror surface texture...
hey... a mini pyramid appears... in the cut-out corner
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i wonder, what angle
this reflection might
"create the illusion"
...of a flat sided...
...square based...
...mini pyramid ?
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i also happen to like that thin... wedgey... green triangle
...the long flat side is 60 cubits, same as distance to G1...
...but i wonder what the short side measures out to be...
...and what the implied hippo-angle is: square roots etc...
anyways, the cut-out corner... i made a little cubit-rod here
(below image) n now we're encountering familiar aesthetics
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...above, i've made the sphere semi-transparent, but left the reflectivity... anyways
...from this distance, we can see it's about 47 (3 from 50): almost, but not quite
...and... zooming in, it looks to be... about 46... and... four fifths... or so...?
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...also noticing: we have another familiar proportion right triangle...
and i wonder what all of the angles n measurements, in that one are
though the proper side is... whatever the point of G1-S1 intersection is
...maybe nothing... still, a valid question... something to keep in mind...
and don't mind the reflection, that's just camera angle (still, interesting)
so now i duplicate a cubit rod group, and reduce by 10... for deci-cubits
...and reposition my new thingy... looks... to be... about... 46.78 or so...
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and there are easier ways to measure things
...but i'm... demonstrating this... graphically...
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below left... back to the G1 SW corner
from the SW, at about 30 cubit elevation
...the peak of the virtual cuttout corner...
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4 single cubit cubes, alternating green and red...
...for reckoning... top face elevation... is... 29.38...
the group coordinates are; (-196.9, 28.88, -196.9)
...here, can be seen just a teeny little corner of G1
peeking out, above the intersection of the 4 cubes
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below right: view from SE: top face elevation 29.39
just the tiniest little speck shows, while rendering
which disappears at 29.40 (cube elevation 28.90)
also notice: the outer corners of the green boxes
just barely showing their points... so, we're over
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but notice how jaggy the sphere edge is in both these images
(that's just because the S1 texture is set to half-transparency)
at this scale... those digital artifacts... are about... 0.07 cubits
...21 per cubit angle; and they disappear when set opaque...
you can guess how big the speck is... like 0.02 or something
...i could possibly zoom in closer; but, you get the idea...
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in these next 2 images
i made the pyramid red
the sphere teal opaque
and the red cubes white
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...in order to make the point of intersection
...just that much more apparent, in contrast
note the red speck in the center intersection
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right image (and below image)
i've dropped the box down a cubit,
the top face elevation is now 28.39
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...what we're looking at here is, basically
the underside of the previous reckonings
as they disappear into the pyramid walls
which are sloping downward to the SW
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...this shows where the sphere S1
...continues its intersection with G1
at that same 1 cubit lower elevation
from the apex of the mini pyramid...
or, my rough approximation thereof
...at about: 196.9 cubits S and W
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and below, i've turned a deci-cubit rod
45� to get somewhat sharper accuracy
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aha: 0.65 (remember, from the short side of the green wedges)
...and not 2/3, not even close... well... within phi range...
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but back to this 0.65
which reminds me of 130
...from where the LL line...
passes through the G1G2 box...
(between corners G1SW and G2NW)
...nearly bisecting at a 12:13 ratio...
immediately SW of this corner angle
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and there's also elevation to consider
...the base of G1 is somewhat lower...
...than the rest of the arrangement...
the base of pyramid G2... is, actually
...at... about... this... elevation...
where S1 intersects G1 at the corners
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n we'll look that exact figure up later
...but for now, let's get really precise
with this object set and camera angle
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1st group coordinates: (-196.90, 28.88, -196.90)
2nd group coordinates: (-196.90, 28.89, -196.90)
new group coordinates: (-196.89, 28.90, -196.89)
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...so, i've moved it in 1cc... both north and east...
and up 1cc (one 100th of a cubit or about 5.2mm)
1 cubit = 0.52375 meters, 52.375 cm, 523.75 mm
1 cubit = 20.620 inches or about 1.718333... feet
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note: the "cc" i'm using here means "centi-cubit"
...not the common "cc" as in: cubic centimeter...
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anyways, this new top face elevation is 29.40
(measuring half up from object center point)
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...here... i've given both pyramid G1 and sphere S1 half-transparency...
the far white cubit begins to appear half-hidden, from inside the pyramid
...in the top image, you can see a little bit of white, meaning we're over...
and in the bottom image, a little bit of darker green, meaning we're short
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you have to look at the hi-rez images (here, and here) to really tell, but
in the top (just-over) image, the green corners are sticking out a tiny bit
and in the bottom (just-under) image, they're just barely inside, even less
...so, in the general area... we'll round up... curve, anyways... anyways...
and at that height, that wide arc defines the square root of 2, for a cubit
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