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Mercurial Wrote:
-------------------------------------------------------
> Well there are definitely lots of things to think
> about! Are approximations of Phi derived from
> ancient buildings and monuments signs of
> inaccurate measurements, or signs of ancient
> incompetence, or attempts to unify various
> astronomical or geometrical considerations into a
> system?

I'm sure I'd want to say the third option. Fitting all of those into a single system does seem to involve a few compromises.

> Some of the Phi approximations you have here are
> ingenious.

Thanks! I still wonder sometimes if the Great Pyramid was built slightly irregular so that it could express more than one of those approximations, but I'm still not really sure which would be the most important beyond 1.618829140 and 1.622311470. It's amazing but (4 / Pi)^2 = 1.621138938 just doesn't seem to show that much usefulness, to the best of my knowledge. At that rate it may soon be overtaken by some of the weird ones like "Rio Bec Phi".

> Funnily enough, in
> his talk on YouTube, Neal mentions
> that maybe Pi should be seen as the really
> important ratio in the human body - in relation to
> Vitruvian man (he enigmatically says he could talk
> about Da Vinci's drawing all day but doesn't have
> time, and moves on). "I believe man is designed to
> the pi ratio not the Phi ratio" (see 55 mins in),
> talking about the centre of the body: "it's not
> 55:89 which is what it would be if it were the Phi
> ratio, it is in fact 56:88" (88/56 x 2 being
> 3.142857)
> (Neal also says of Da Vinci and his friend that
> "they were seeking the mensura perpetua,
> that's the basic unit that governed all others,
> they knew it existed, which strangely turned out
> to be the English Foot")

Oh wonderful, Neal's confessed. Now we won't have to torture him, lol. Great find!

> By the way, the layout of the three pyramids at
> Giza, as drawn by Jiri (and Chris Tedder), with
> the golden rectangles, showed a Phi ratio close to
> 55/89, or roughly 1.6179, if you remember, though
> when I used Flinders Petrie's figures, I hope
> correctly, I got slightly different ratios again.
> (figures in metres because I was comparing with
> Glen Dash, etc) These ratios aren't quite as close
> to Phi.
>

One of these days I have to get back to that. It's still a rather daunting task actually, there's a lot to coordinate there.

For whatever it's worth, if I take 574.4464 / 353.86264 = 1.623 to be 1.622311470, which would be the best place to start, and 574.4464 m = 1884.666666 to be 600 Pi = 1884.955592 = 3240 Inverse Royal Cubits of 1.718873385

1884.955592 x 1.622311470 = 3057.985078 = inner sarcen circle circumference x 10 = Great Pyramid apothem x 5

1884.955592 x (1.622311470^2) is also meaningful (160 x Pi^3), as is 1884.955592 / 1.622311470, 1884.955592 / (1.622311470^2), 1884.955592 / (1.622311470^3), and at 1884.955592 / (1.622311470^4) = 272.1223222, we have ten times the Draconic Month in days (textbook value = 27.212220815)

> If Petrie had measured the sarcen circle
> circumference resulting from his metrological
> proposals for its radius by the unit he discovered
> at Stonehenge, which is indistinguishable when
> given in inches from the Venus Orbital Period, he
> would have found the value of 1/2 a Megalithic
> Yard. I have yet to explore the question of how
> 224.9133271 would fare as a metrological unit
> value
> [/quote]
>
> Now there's a thought! What else are we on the
> brink of seeing that might seem so obvious once it
> is discovered?
> I tried to fit 224.9133271 into the first
> measurement I came along in my note book, which
> happened to be Flinders Petrie's case plane of G1,
> a mean of 9001.5 per side, and, funnily enough it
> yielded a nice little 40.02208.
> (9001.5/224.9133271 = 40.02208)
> So perhaps 40 units of 224.9133271 inches?

Well spotted! That one seems a bit tough. 9001.5 / 40 = 225.0375. That one might be closest to the canonical value of 225?

If I tried treating 224.9133271 like 224.8373808, 240 / 224.8373808 = 1.067438159 while 240 / 224.9133271 = 1.067077719.

So far that hasn't found its way into my metrological tables (although I do get frequent hints there are unit value still missing - is Neal going to be basically right after all about ten versions of each unit? - but 1067.077719 is what I have for the diagonal of the Great Pyramid in Munck's model.

If they skewed it slightly they might have gotten 1067.438159 across the other diagonal but it seems a bit hard to be sure about something like that without a better consensus on which side of the Great Pyramid is longest or shortest.

> More magic. And as for the connections between
> Tikal, Giza, and the rest, they are astounding.
> You could perhaps add to that the 364 day year
> system for lunar eclipses that seems to be in the
> calendar at Stonehenge and, judging by the number
> of steps, at Chichen Itza - 13 x 28.

I haven't gotten that far with approximating 364 yet. I suppose it's a fact of life with 364 + 1 (platform) steps at Chichen Itza and 819 / 225 = 3.64, but so far I've poured a lot more work into trying to figure out how 365.25 would have been represented. There are several possibilities with ~Venus Orbital Period x ~Phi, though.

225 x 1.618829140 = 364.2365569 = 224.8373808 x 1.620000000.

Not sure about that as I have seen figures closer to 364. That might be where more "exotic" versions of Phi like "Rio Bec Phi" might find a role?

It's a curious thing about the matrix of equations I'm using for the calendars that 225 is the absolute max for the VOP unless they actually went as high as 19000 or more in approximating 18980, but there probably wasn't much need to resort to that?

Anyway, thanks again. Hopefully more of this will get figured out soon.

Cheers!

Putting the Remen back in measurement since 2003 [pijedi.home.blog] [grahamhancock.com]
rodz and DavidK Ancient Measures - Jim Alison on the Remen [grahamhancock.com] - Jim Wakefield From The Rollrights to Stonehenge
Peter Harris Visions of Time - Megalithic Foot - Megalithic Portal - Geoff Bath An Alternative Route to the Megalithic Yard

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Subject Views Written By Posted
G1 Sarcophagus and Phi 785 gjb 07-Jul-20 06:00
Re: G1 Sarcophagus and Phi 95 Dr. Troglodyte 07-Jul-20 20:14
Re: G1 Sarcophagus and Phi 70 thinkitover 07-Jul-20 22:02
Re: G1 Sarcophagus and Phi 84 gjb 07-Jul-20 22:37
Re: G1 Sarcophagus and Phi 74 Dr. Troglodyte 08-Jul-20 17:29
Re: G1 Sarcophagus and Phi 50 spaceyhippie 17-Jul-20 19:17
Re: G1 Sarcophagus and Phi 45 thinkitover 18-Jul-20 20:15
Re: G1 Sarcophagus and Phi 58 Mercurial 19-Jul-20 07:55
Re: G1 Sarcophagus and Phi 45 thinkitover 20-Jul-20 02:20
Re: G1 Sarcophagus and Phi 44 Mercurial 23-Jul-20 11:04
Re: G1 Sarcophagus and Phi 35 molder 23-Jul-20 22:16
Re: G1 Sarcophagus and Phi 31 Mercurial 25-Jul-20 18:15
Re: G1 Sarcophagus and Phi 48 thinkitover 23-Jul-20 22:20
Re: G1 Sarcophagus and Phi 36 Mercurial 25-Jul-20 18:25
Re: G1 Sarcophagus and Phi 75 gjb 23-Jul-20 14:47
Re: G1 Sarcophagus and Phi 48 Mercurial 25-Jul-20 18:32
Re: G1 Sarcophagus and Phi 53 gjb 26-Jul-20 02:01
Re: G1 Sarcophagus and Phi 39 Mercurial 27-Jul-20 07:22
Re: G1 Sarcophagus and Phi 32 thinkitover 27-Jul-20 09:51
The Implications of Approximating Phi 40 thinkitover 26-Jul-20 01:39
Re: The Implications of Approximating Phi 39 Mercurial 27-Jul-20 11:06
Re: The Implications of Approximating Phi 52 thinkitover 27-Jul-20 22:10
Re: G1 Sarcophagus and Phi 65 Manu 10-Jul-20 01:10
Re: G1 Sarcophagus and Phi 57 Dr. Troglodyte 10-Jul-20 20:29
Re: G1 Sarcophagus and Phi 52 DUNE 10-Jul-20 21:25
Re: G1 Sarcophagus and Phi 63 Manu 10-Jul-20 21:58
Re: G1 Sarcophagus and Phi 45 thinkitover 10-Jul-20 23:57
Re: G1 Sarcophagus and Phi 48 PB Bytes 15-Jul-20 14:23
A sketch comparison 48 PB Bytes 15-Jul-20 15:34
Re: G1 Sarcophagus and Phi 53 Dr. Troglodyte 11-Jul-20 15:36
Re: G1 Sarcophagus and Phi 51 Manu 11-Jul-20 16:31
Re: Why is the Kings Chamber the shape it is 56 DUNE 11-Jul-20 17:52
Re: Why is the Kings Chamber the shape it is 49 Manu 11-Jul-20 18:35
Re: Why is the Kings Chamber the shape it is 50 DUNE 11-Jul-20 19:25
Re: Why is the Kings Chamber the shape it is 53 Manu 11-Jul-20 20:17
Re: Why is the Kings Chamber the shape it is 53 thinkitover 11-Jul-20 22:28
Re: Subterranean Chamber 56 molder 13-Jul-20 21:59
Re: Why is the Kings Chamber the shape it is 48 SandyJesse 16-Jul-20 21:32
Re: Why is the Kings Chamber the shape it is 46 DUNE 16-Jul-20 22:08
Re: G1 Sarcophagus and Phi 45 PB Bytes 15-Jul-20 04:04
Re: G1 Sarcophagus and Phi 51 PB Bytes 14-Jul-20 04:59
Re: G1 Sarcophagus and Phi 65 DUNE 14-Jul-20 10:25
Re: G1 Sarcophagus and Phi 65 thinkitover 07-Jul-20 21:09
Coffer Overlapped Edges 64 Dr. Troglodyte 08-Jul-20 17:36
Re: Coffer Overlapped Edges 70 gjb 08-Jul-20 23:41
Re:Height of coffer and relationship with pyramid height. 61 molder 09-Jul-20 11:28
Re: Re:Height of coffer and relationship with pyramid height. 68 Sirfiroth 09-Jul-20 17:21
Re: Re:Height of coffer and relationship with pyramid height. 54 DUNE 09-Jul-20 18:26
Re: Re:Height of coffer and relationship with pyramid height. 49 Sirfiroth 09-Jul-20 20:01
Re: Re:Height of coffer and relationship with pyramid height. 54 DUNE 09-Jul-20 22:25
Re: Re:Height of coffer and relationship with pyramid height. 56 Manu 10-Jul-20 00:10
Re: Re:Height of coffer and relationship with pyramid height. 58 gjb 09-Jul-20 18:40
Re: Re:Height of coffer and relationship with pyramid height. 45 Sirfiroth 09-Jul-20 20:48
Re: Re:Height of coffer and relationship with pyramid height. 57 thinkitover 09-Jul-20 20:24
Re: Re:Height of coffer and relationship with pyramid height. 49 gjb 09-Jul-20 22:57
Re: Re:Height of coffer and relationship with pyramid height. 55 Sirfiroth 10-Jul-20 01:36
Re: Re:Height of coffer and relationship with pyramid height. 42 thinkitover 10-Jul-20 19:56
Re: Re:Height of coffer and relationship with pyramid height. 44 Sirfiroth 11-Jul-20 00:25
Re: Re:Height of coffer and relationship with pyramid height. 47 molder 09-Jul-20 22:06
Re: Re:Height of coffer and relationship with pyramid height. 49 DUNE 10-Jul-20 11:06
Reality 56 Sirfiroth 10-Jul-20 14:05
Re: Reality 49 DUNE 10-Jul-20 17:16
Re: Reality 45 Sirfiroth 10-Jul-20 18:26
Re: Re:Height of coffer and relationship with pyramid height. 55 SandyJesse 09-Jul-20 21:54
Re: Coffer Overlapped Edges 56 Dr. Troglodyte 09-Jul-20 20:56
Re: Coffer Overlapped Edges 59 gjb 09-Jul-20 22:14
Re: Coffer Overlapped Edges 59 Dr. Troglodyte 09-Jul-20 22:56
Do They Need To Overlap? 61 thinkitover 10-Jul-20 01:33
I Might Also Note 51 thinkitover 10-Jul-20 03:31
Re: Do They Need To Overlap? 49 Dr. Troglodyte 10-Jul-20 22:54
Re: Second and Third pyramid coffers 49 molder 11-Jul-20 00:04
Re: Second and Third pyramid coffers 60 gjb 11-Jul-20 02:40
Re: Second and Third pyramid coffers 56 molder 11-Jul-20 10:56
Re: Second and Third pyramid coffers 53 gjb 12-Jul-20 00:48
Re: What was the intended size of the sarcophagus 63 DUNE 12-Jul-20 11:52
Re: What was the intended size of the sarcophagus 52 DUNE 12-Jul-20 18:42
Re: Solution. 44 molder 12-Jul-20 22:03
Re: What was the intended size of the sarcophagus 55 thinkitover 12-Jul-20 22:22
Re: G1 Sarcophagus and Phi 61 Manu 11-Jul-20 01:13
Re: G1 Sarcophagus and Phi 53 Manu 11-Jul-20 01:49
Re: G1 Sarcophagus and Phi 57 Sirfiroth 11-Jul-20 20:23
Re: G1 Sarcophagus and Phi 56 Manu 11-Jul-20 21:45
Re: G1 Numbers of importance 49 molder 11-Jul-20 22:32
Re: G1 Sarcophagus and Phi 47 Sirfiroth 13-Jul-20 19:53
Re: G1 Sarcophagus and Phi 42 thinkitover 13-Jul-20 20:09
Re: G1 Sarcophagus and Phi 42 Sirfiroth 13-Jul-20 20:52
Re: G1 Sarcophagus and Phi 47 thinkitover 11-Jul-20 22:45
Re: G1 Sarcophagus and Phi 48 PB Bytes 15-Jul-20 04:31
Re: G2's Sarcophagus 59 DUNE 15-Jul-20 10:18
Re: G2's Sarcophagus 44 thinkitover 17-Jul-20 07:42
Re: G2's Sarcophagus 44 DUNE 17-Jul-20 08:10
Re: G2's Sarcophagus 49 DUNE 17-Jul-20 09:06
Re: G2's Sarcophagus 50 thinkitover 17-Jul-20 19:45
Re: G1 Sarcophagus and Phi 46 thinkitover 17-Jul-20 08:01
Re: G1 Sarcophagus and Phi 40 PB Bytes 17-Jul-20 15:47
Re: G2's Sarcophagus , it's inner volume, Petrie 46 DUNE 17-Jul-20 16:24
Re: G2's Sarcophagus , it's inner volume, Petrie 37 PB Bytes 17-Jul-20 17:08
Re: G2's Sarcophagus , it's inner volume, Petrie 41 PB Bytes 17-Jul-20 17:09
Re: G2's Sarcophagus , it's inner volume, Petrie 46 DUNE 17-Jul-20 17:26
Re: G2's Sarcophagus , it's inner volume, Petrie 43 molder 18-Jul-20 00:08
Re: G2's Sarcophagus , it's inner volume, Petrie 47 DUNE 18-Jul-20 07:28
Re: G2's Sarcophagus , it's inner volume, Petrie 41 molder 18-Jul-20 22:07
Re: G2's Sarcophagus , it's inner volume, Petrie 44 DUNE 19-Jul-20 09:03
Re: G2's Sarcophagus , it's inner volume, Petrie 40 molder 19-Jul-20 12:31
Re: G2's Sarcophagus , it's inner volume, Petrie 56 DUNE 19-Jul-20 14:16
Re: G2's Sarcophagus , it's inner volume, Petrie 39 molder 20-Jul-20 07:37
Re: G2's Sarcophagus , it's inner volume, Petrie 57 DUNE 20-Jul-20 09:50
Re: G2's Sarcophagus , it's inner volume, Petrie 49 SandyJesse 21-Jul-20 22:09
Re: G2's Sarcophagus , it's inner volume, Petrie 47 thinkitover 22-Jul-20 06:04
for the spiritual contemplation of those who are esteemed worthy to understand? 46 Mercurial 25-Jul-20 08:47
The Root of the OP 58 gjb 13-Jul-20 10:21
Re: The Root of the OP 47 thinkitover 13-Jul-20 20:59
"Blueprint" (fixed) 57 thinkitover 13-Jul-20 21:12
What Am I Bid For This Lovely Cubit? (fixed) 57 thinkitover 14-Jul-20 03:51
Re: "Blueprint" (fixed) 88 gjb 17-Jul-20 09:41
Re: "Blueprint" (fixed) 51 DUNE 17-Jul-20 10:08
Re: "Blueprint" (fixed) 43 thinkitover 17-Jul-20 21:09
Re: "Blueprint" (fixed) 43 DUNE 17-Jul-20 22:08
Re: "Blueprint" (fixed) 55 thinkitover 18-Jul-20 01:18
Re: "Blueprint" (fixed) 44 thinkitover 18-Jul-20 07:33
Re: "Blueprint" (fixed) 44 gjb 18-Jul-20 13:05
Re: "Blueprint" (fixed) 36 thinkitover 18-Jul-20 19:53
Re: "Blueprint" (fixed) 43 thinkitover 18-Jul-20 04:33
Re: "Blueprint" (fixed) 87 gjb 17-Jul-20 11:05
Re: G1 Sarcophagus and Piazzi Smyth 53 M. J. Thomas 16-Jul-20 16:30
Back to the Drawing Board 51 gjb 19-Jul-20 22:02
Re: Back to the Drawing Board 40 gjb 20-Jul-20 04:11
Re: Back to the Drawing Board 44 thinkitover 20-Jul-20 04:44
Tallying Error? 46 gjb 20-Jul-20 09:21
When In Doubt, Ask The Aztecs? 36 thinkitover 07-Aug-20 10:53
Re: When In Doubt, Ask The Aztecs? 49 gjb 08-Aug-20 04:16


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