07-06-2017, 07:51 PM
(This post was last modified: 07-07-2017, 05:08 AM by Ancient Vizier.)

I was checking my records to see if we had anything in the past about this proposed Venus figure, although technically as the reciprocal of 1/2 of SRVS 887.6223994, it's probably seen plenty of action...

I found more on the history of "herpetometric". (Not entirely sure what I meant about the Assyrian Foot or the Egyptian Finger here, I will have to get back to those sometime).

Grid Point post #1141

Note on coined phrase...

Wed Jan 22 20:48:20 2003

...

"Herpetometic (Adj): metrological units of linear measure related to matematical values associated with reptilian-themed monuments.

...

The "LSC" constant, 2.794546571 is "herpetometric" because it is associated with the "Le Serpent Rouge" Grid Point. Note that without intent or premeditation, this constant appears in the proceedings (27.94546571 replacing "28" fingers as given by Berriman, and one of the original components of "LCS" representing "S", 1.08154098, appears with a formulaic divergence of the Assyrian foot from 1.08 feet to 1.08154098 ft:

Assyrian Foot, Divergence B: 1.08154098 Ft

...

Again, there seems to be a simple visual reason the part of (part of, I emphasize that) the symbolic meaning of serpent effigies denotes linear measure owing to a fanciful resemblance between a measuring tape (especially when coiled) and a serpent; this connection seems to appear in mythology, as noted here previously"

Or when a museum or an archaeologist wraps a tape measure around an ancient calendar stone, they are doing what is ideographically instructed, or making an ouroboros, or however one wishes to think of it (I like to think of it as not having to measure the circumference of something large and circular with an inflexible yardstick).

I'm not sure where the other post went now, but I found another that reveals the origins of "LCS":

"Grid Point" of "Le Serpent Rouge" 1.676727943

"Grid Point" of the "Circle of Churches" (Morton?) 1.5410111111

"Grid Point" of Scottish Stone Serpent 1.081540979 (rescinded)

1.676727943 x 1.54101111111 x 1.081540979 = 1.676727943 x 1.666666666 = "LCS" 2.794546571

And of course 1.541011111 = 1 / (19.46773764 x 33.33333333)

Grid Point post #207

Clava-Giza-Teotihuacan...

Wed Nov 28 10:40:59 2001

...

"8111.557354 / 360 = 22.53210376

365.020081 / 22.53210376 = 1.62"

So we know that "Alternate Phi" 1.62231147 / 2 = .8111557354, and so

2.920160646 / 360 = 8.111557354 / 10^n

2.920160646 / (360^2) = 225.3210376 / 10^2

Another possible Venus figure directly connected to an Earth circumference figure (in the case the very prominent cube root of the estimated 24901.19742 (mile) equatorial circumference / 10^n = 2.920160646

But I also found where this probably underappreciated newly-proposed Venus Orbital Period figure belongs to an impressive chain of figures that's rather reminiscent of the things we've seemed to finding at Tikal (particularly because of 1/3 Pi and sqrt 1.666666666 = 1.290994448, preceded in the same post by a set of equations starting with another combination of 33.33333333 and 19.46773764, namely the so-called "Masonic Cubit" of 33.33333333 / 19.46773764 = 1.712234567), so

we know now that it can proceed directly from applying the components that Tikal has already provided, even as largely unexplored as Tikal actually is mathematically.

The second series also highlights a close relationship of 225.3210376 to the Radian, and even links in the classic "Alternate Area of Vesica Piscis Ratio"

Grid Point post #2472

Specifically...

Tue Jun 24 05:15:26 2003

...

And last but not least, as far as more everyday stuff goes, the highest figure in this particular chain "just so happens to be", speaking of tetrahedra and their precursors, 33.33333333 / 19.4677376..."

In stead of just saying so, why don't I go ahead and show some of this here? Or, first of all 1 / 1.290994449 = 7.74596669 / 10, and 7.74596669 = (sqrt 60); 1.290994449 = (sqrt 1.666666666), and 3.33333333 / 2 = 1.666666666....

3333.333333 / 19.4677376 = 171.2234649

171.2234649 / (1.290994449^1) = dh 1.326291257 = dh (1 / 240 ) / Pi

171.2234649 / (1.290994449^2) = dh 1.02734079 "3 Giza Pyramids" Grid Point Ratio 1 / Inner Sarcen Circle Diameter Stonehenge

171.2234649 / (1.290994449^3) = dh 7.95773754 = dh 25 / Pi = dh Orion Belt Stars Composite

171.2234649 / (1.290994449^4) = dh 6.164044744 = (1 / Alternate Phi 1.62231147) / 10

171.2234649 / (1.290994449^5) = 47.74648293 = 150 / Pi

171.2234649 / (1.290994449^6) = dh 3.698426665 = 1/2 (Squared Munck Yoda Meg Yard^2)

171.2234649 / (1.290994449^7) = 28.64788977 = (Radian 57.29577951 / 2)

171.2234649 / (1.290994449^8) = 22.19055999 = Grid Longitude Stonehenge / 100

171.2234649 / (1.290994449^9) = 17.18873386 = Michael L. Morton Royal Cubit, in feet x 10

171.2234649 / (1.290994449^10) = 13.314336 = 26.62867199 / 2

171.2234649 / (1.290994449^11) = 10.31324031 = (Generic) Area of A Circle / 100

171.2234649 / (1.290994449^12) = 7.9886016

171.2234649 / (1.290994449^13) = 6.18794419 = dh 108 Radians

171.2234649 / (1.290994449^14) = 4.79316096

171.2234649 / (1.290994449^15) = 3.71276651 = dh Volume of a Torus

171.2234649 / (1.290994449^16) = 2.87589659

171.2234649 / (1.290994449^17) = 2.22765991 = 1.11382995 x 2

171.2234649 / (1.290994449^18) = 1.33659594 = dh 1.181810286 x 360 x Pi

...

808.0227996 / (1.290994449^1) = 625.8917693

808.0227996 / (1.290994449^2) = 484.8136799 = dh Pi / 648

808.0227996 / (1.290994449^3) = 375.5350618

808.0227996 / (1.290994449^4) = 290.8882081 = dh G.P. Rosslyn Chapel & Stonehenge Mound

808.0227996 / (1.290994449^5) = 225.3210371

808.0227996 / (1.290994449^6) = 174.5329249 = dh 1 / Radian 57.29577951

808.0227996 / (1.290994449^7) = 135.1926223 = dh Grid Point Silbury WGS 84 1 / Squared Yoda Meg Yard x 10^n

808.0227996 / (1.290994449^8) = 104.719755 = dh (Pi / 3)

808.0227996 / (1.290994449^9) = 81.1155734 = (Alternate Phi 1.62231147 / 2) x 100

808.0227996 / (1.290994449^10) = 62.831853012 = 2 Pi x 10

808.0227996 / (1.290994449^11) = 48.66934408 = (Inner Sarcen Circle) Radius Stonehenge in feet

808.0227996 / (1.290994449^12) = 37.69911183 = 12 Pi

808.0227996 / (1.290994449^13) = 29.20160646 = Grid Point Stonehenge x 10 cube root Earth Circumference in Miles

808.0227996 / (1.290994449^14) = 22.6194671 = ht Mycerinus Pyramid / 10

808.0227996 / (1.290994449^15) = 17.52096388 = dh Grid Values of Pyramid of Magician & Woodhenge, WGS 84

808.0227996 / (1.290994449^16) = 13.57168027 = dh Grid Lat. Chephren Pyramid x 2

808.0227996 / (1.290994449^17) = 10.512578333 = 5.256289167 x 2

808.0227996 / (1.290994449^18) = 8.143008164 = 1 / "Alt Area Vesica Piscis Ratio"

808.0227996 / (1.290994449^19) = 6.307547003

808.0227996 / (1.290994449^20) = 4.885804901 = (.7776 x Pi) x 2

& etc... at least to the 20th power..."

So that is part of why I am beginning to take this 225.3210371 figure more seriously, even when we already have a perfectly impressive figure 224.8373803 to signify Venus' Orbital Period, not to mention a frequently useful second figure of 225.0000000.

225.3210371 is also linked to 1.290994449 by The Radian 57.29577951 (arc-degrees, aka The Giza Constant, also the other proposed dimension of the Tikal masonry block, along with 1.290994449, ignoring decimal placement) in another interesting, albeit shorter, chain

(5 / 1.271425432*) x 57.29577951 = 225.3210371

225.3210371 x 57.29577951 = 1.290994449 x 10^n

1.290994449 x 57.29577951 = 7.396853331 Squared Yoda Megalithic Yard x 10^n

7.396853331 x 57.29577951 = 423.8084775 = "True Outer Sarcen Circle Area of Stonehenge"** / 2 = (Generic Area of A Circle 10313.24031 / Remen 1.216733603) / 2

*The interesting and seemingly important figure 1.271425433 = (108 x Alternate Pi 1.177245771) / 100 = MLM Royal Cubit in inches = 2.062648062 / "Alternate Phi" 1.62331147 and etc etc.

**Obtained by substituting the Unsquared Yoda Meg Yard 2.719715671 for the "Alternate e' Meg Yard" 2.720174976 in calculation of the area enclosed by the outer circumference of the Sarcen Circle, inner sarcen circle area = 48.66934411^2 x Pi = 7441.506403 sq feet (Yoda).

It also reminds me to go back and double check on exactly what they may be using to represent "13" where in the Tikal temples. So far we only have The Amazing 1.290994449 probably expressed by a masonry block that divides one of the temple staircases from the top platform to the temple door, but further displays of this number's great usefulness imply it may be expected that it will be found there with some frequency. It has the makings of an ancient favorite, and is of course the reciprocal of the square root of 60, which Pi Jedi have traditionally thought to be on blatant display at Stonehenge along with the square root of 15, courtesy of separate major arrays of 60 and 15 stones respectively in an unusual presentation.

And yeah, there's some old data peeking out of the strikethroughs of "Grid Coordinates" (= Map Crap) that's historically interesting. How did Yoda and I both get taken in by the Map Crap game? Well, using the Stonehenge coordinates "as is" from British maps, he got the Double Remen as the "Grid Point" of Stonehenge, and when I attempted to correct the coordinates to the WGS 84 Datum I got 2.920160646 for the "Grid Point" of Stonehenge. What could possibly be more deceptive? If we were complete boneheads, at least we were commendably picky about being complete boneheads, I'll say that for us.

I tried working on Rio Bec again but got very confused once more, it's really looking like the sort of thing where we'd find that the length of structure A at the top of the outer walls would be slightly different than the length at the top of the walls in order to catch a number of "near-miss" equations, and the same might go for the interior rooms.

That may be what is meant by "feathered serpent," that equations concerning the mythological mathematical serpent begin to "feather" around the edges, or what I call "fraying" - when the ancients ambitiously tried to link up certain numbers that didn't quite match up perfectly, so that numerous possible equations and probably many with equal validity, begin to pour forth from the proceedings.

(No idea what the Xibalba the "underworld" is mathematically - the closer of two geodetic figures in a literal representation of the larger "over" the smaller? (i.e., the difference between 2.920160646^3 x 10^n and "a zillion Cholulas" 1.315947254 x 10^n ?? - or the difference between a circumference figure and a mean circumference figure?? "A zillion Cholulas" does look a lot like a mean Earth circumference figure if you take it more literally. However, the concept of "the underworld" also seems to be linked to ancient water sources, so it might be possible that mathematics was employed to provide these water sources with some sort of coordinates, although I have no idea how that might work. Some of the literature suggests that these may have been strategic and/or protected resources, and the frequent association of pyramids or other ancient monuments with underground water is also duly noted. Perhaps the theme of water is being used in context to refer to both the local water source(s) and geodetically to the distance "across the water"?)

I really don't have the data to do that sort of detailed work with Rio Bec or a lot of other places, though - only single measures for the length or width of rooms and doors generally. It's still a lot like Lehner giving us single figures for the dimensions of the Great Pyramid chambers rather than the more detailed and more interesting measures provided by Petrie. I can see in many photographs how many ancient Mesoamerican doorways look deliberately irregular so that they may have valid measures at top, bottom, and probably mid, but I have yet to find any data that detailed. Again, in many cases no one seems to have even taken measures of the door heights, let alone providing us three different figures for width, and same with what are probably deliberate irregularities in calendar stones. (Likewise, George Andrews, bless him, frequently gave us complete measures for first chamber inside the temple door so that someday we might see a few complete interpretations of such things, but rarely complete data for temple chambers after that).

I'd like to get back to the Tizoc stone, I think it's part of the workings that they managed to incorporate an interesting pair of important numbers

MLM Royal Cubit 1.718873385 x sqrt 240 = 2662.867198 / 10 = Squared Yoda Meg Yard x 360, etc

(6 x (Pi^3)) x sqrt 240 = 2882.083037 = height Great Pyramid (paved) x 60, etc

Although the loudest proof that I need to revisit it is that offhand, I can't remember exactly how they did that... I'd be mighty proud of myself though I could design a monument that deftly incorporated both of these numbers (in addition to all the calendar-related demands being put on the associated equations) but I think the Aztecs might have managed?

Been looking for more data on calendar stones - if I had two more as eloquent as the infamous and often misnomered Aztec Calendar Stone (aka "Mayan Calendar"), I'd probably consider e-mailing real archaeologists and begging them to stop throwing away priceless examples of ancient mathematics. I suppose the last thing they'd want to believe without further stunning examples is that ancient Mesoamericans seem to have constructed these elaborate mathematical formulas in modern feet, as strongly evidenced by the "Sun Stone".

However, the data I have so far on calendar stones makes it look like they come in a variety of sizes, whereas repeating the same formula as the "Sun Stone" would of course require the same measurements (a 1:10 scale model seems uncharacteristically puny), so if they repeated the exact formula with different proportions, I'm not sure yet what creative manouvers they might have used to accomplish that - possibly by using a second metrological unit, or halfing, or using reciprocals, but I've no idea which offhand. It's a subject in itself really.

Just a piece of trivia, I suppose, but going through photos I was intrigued with Nakum since it's near to Tikal and probably displays some parallels in design. There is a temple where there are what appear to be two circular recesses about the size of calendar stones in the exterior wall with small holes in them that might have facilitated mounting of a circular object. I can't think of any other time I have seen that. I have virtually no data yet about the matter, but if someone came up with a couple of calendar stones so good they were worth hanging up on a temple exterior, I'd dearly love to know more.

I found more on the history of "herpetometric". (Not entirely sure what I meant about the Assyrian Foot or the Egyptian Finger here, I will have to get back to those sometime).

Grid Point post #1141

Note on coined phrase...

Wed Jan 22 20:48:20 2003

...

"Herpetometic (Adj): metrological units of linear measure related to matematical values associated with reptilian-themed monuments.

...

The "LSC" constant, 2.794546571 is "herpetometric" because it is associated with the "Le Serpent Rouge" Grid Point. Note that without intent or premeditation, this constant appears in the proceedings (27.94546571 replacing "28" fingers as given by Berriman, and one of the original components of "LCS" representing "S", 1.08154098, appears with a formulaic divergence of the Assyrian foot from 1.08 feet to 1.08154098 ft:

Assyrian Foot, Divergence B: 1.08154098 Ft

...

Again, there seems to be a simple visual reason the part of (part of, I emphasize that) the symbolic meaning of serpent effigies denotes linear measure owing to a fanciful resemblance between a measuring tape (especially when coiled) and a serpent; this connection seems to appear in mythology, as noted here previously"

Or when a museum or an archaeologist wraps a tape measure around an ancient calendar stone, they are doing what is ideographically instructed, or making an ouroboros, or however one wishes to think of it (I like to think of it as not having to measure the circumference of something large and circular with an inflexible yardstick).

I'm not sure where the other post went now, but I found another that reveals the origins of "LCS":

"Grid Point" of "Le Serpent Rouge" 1.676727943

"Grid Point" of the "Circle of Churches" (Morton?) 1.5410111111

"Grid Point" of Scottish Stone Serpent 1.081540979 (rescinded)

1.676727943 x 1.54101111111 x 1.081540979 = 1.676727943 x 1.666666666 = "LCS" 2.794546571

And of course 1.541011111 = 1 / (19.46773764 x 33.33333333)

Grid Point post #207

Clava-Giza-Teotihuacan...

Wed Nov 28 10:40:59 2001

...

"8111.557354 / 360 = 22.53210376

365.020081 / 22.53210376 = 1.62"

So we know that "Alternate Phi" 1.62231147 / 2 = .8111557354, and so

2.920160646 / 360 = 8.111557354 / 10^n

2.920160646 / (360^2) = 225.3210376 / 10^2

Another possible Venus figure directly connected to an Earth circumference figure (in the case the very prominent cube root of the estimated 24901.19742 (mile) equatorial circumference / 10^n = 2.920160646

But I also found where this probably underappreciated newly-proposed Venus Orbital Period figure belongs to an impressive chain of figures that's rather reminiscent of the things we've seemed to finding at Tikal (particularly because of 1/3 Pi and sqrt 1.666666666 = 1.290994448, preceded in the same post by a set of equations starting with another combination of 33.33333333 and 19.46773764, namely the so-called "Masonic Cubit" of 33.33333333 / 19.46773764 = 1.712234567), so

we know now that it can proceed directly from applying the components that Tikal has already provided, even as largely unexplored as Tikal actually is mathematically.

The second series also highlights a close relationship of 225.3210376 to the Radian, and even links in the classic "Alternate Area of Vesica Piscis Ratio"

Grid Point post #2472

Specifically...

Tue Jun 24 05:15:26 2003

...

And last but not least, as far as more everyday stuff goes, the highest figure in this particular chain "just so happens to be", speaking of tetrahedra and their precursors, 33.33333333 / 19.4677376..."

In stead of just saying so, why don't I go ahead and show some of this here? Or, first of all 1 / 1.290994449 = 7.74596669 / 10, and 7.74596669 = (sqrt 60); 1.290994449 = (sqrt 1.666666666), and 3.33333333 / 2 = 1.666666666....

3333.333333 / 19.4677376 = 171.2234649

171.2234649 / (1.290994449^1) = dh 1.326291257 = dh (1 / 240 ) / Pi

171.2234649 / (1.290994449^2) = dh 1.02734079 "3 Giza Pyramids" Grid Point Ratio 1 / Inner Sarcen Circle Diameter Stonehenge

171.2234649 / (1.290994449^3) = dh 7.95773754 = dh 25 / Pi = dh Orion Belt Stars Composite

171.2234649 / (1.290994449^4) = dh 6.164044744 = (1 / Alternate Phi 1.62231147) / 10

171.2234649 / (1.290994449^5) = 47.74648293 = 150 / Pi

171.2234649 / (1.290994449^6) = dh 3.698426665 = 1/2 (Squared Munck Yoda Meg Yard^2)

171.2234649 / (1.290994449^7) = 28.64788977 = (Radian 57.29577951 / 2)

171.2234649 / (1.290994449^8) = 22.19055999 = Grid Longitude Stonehenge / 100

171.2234649 / (1.290994449^9) = 17.18873386 = Michael L. Morton Royal Cubit, in feet x 10

171.2234649 / (1.290994449^10) = 13.314336 = 26.62867199 / 2

171.2234649 / (1.290994449^11) = 10.31324031 = (Generic) Area of A Circle / 100

171.2234649 / (1.290994449^12) = 7.9886016

171.2234649 / (1.290994449^13) = 6.18794419 = dh 108 Radians

171.2234649 / (1.290994449^14) = 4.79316096

171.2234649 / (1.290994449^15) = 3.71276651 = dh Volume of a Torus

171.2234649 / (1.290994449^16) = 2.87589659

171.2234649 / (1.290994449^17) = 2.22765991 = 1.11382995 x 2

171.2234649 / (1.290994449^18) = 1.33659594 = dh 1.181810286 x 360 x Pi

...

808.0227996 / (1.290994449^1) = 625.8917693

808.0227996 / (1.290994449^2) = 484.8136799 = dh Pi / 648

808.0227996 / (1.290994449^3) = 375.5350618

808.0227996 / (1.290994449^4) = 290.8882081 = dh G.P. Rosslyn Chapel & Stonehenge Mound

808.0227996 / (1.290994449^5) = 225.3210371

808.0227996 / (1.290994449^6) = 174.5329249 = dh 1 / Radian 57.29577951

808.0227996 / (1.290994449^7) = 135.1926223 = dh Grid Point Silbury WGS 84 1 / Squared Yoda Meg Yard x 10^n

808.0227996 / (1.290994449^8) = 104.719755 = dh (Pi / 3)

808.0227996 / (1.290994449^9) = 81.1155734 = (Alternate Phi 1.62231147 / 2) x 100

808.0227996 / (1.290994449^10) = 62.831853012 = 2 Pi x 10

808.0227996 / (1.290994449^11) = 48.66934408 = (Inner Sarcen Circle) Radius Stonehenge in feet

808.0227996 / (1.290994449^12) = 37.69911183 = 12 Pi

808.0227996 / (1.290994449^13) = 29.20160646 = Grid Point Stonehenge x 10 cube root Earth Circumference in Miles

808.0227996 / (1.290994449^14) = 22.6194671 = ht Mycerinus Pyramid / 10

808.0227996 / (1.290994449^15) = 17.52096388 = dh Grid Values of Pyramid of Magician & Woodhenge, WGS 84

808.0227996 / (1.290994449^16) = 13.57168027 = dh Grid Lat. Chephren Pyramid x 2

808.0227996 / (1.290994449^17) = 10.512578333 = 5.256289167 x 2

808.0227996 / (1.290994449^18) = 8.143008164 = 1 / "Alt Area Vesica Piscis Ratio"

808.0227996 / (1.290994449^19) = 6.307547003

808.0227996 / (1.290994449^20) = 4.885804901 = (.7776 x Pi) x 2

& etc... at least to the 20th power..."

So that is part of why I am beginning to take this 225.3210371 figure more seriously, even when we already have a perfectly impressive figure 224.8373803 to signify Venus' Orbital Period, not to mention a frequently useful second figure of 225.0000000.

225.3210371 is also linked to 1.290994449 by The Radian 57.29577951 (arc-degrees, aka The Giza Constant, also the other proposed dimension of the Tikal masonry block, along with 1.290994449, ignoring decimal placement) in another interesting, albeit shorter, chain

(5 / 1.271425432*) x 57.29577951 = 225.3210371

225.3210371 x 57.29577951 = 1.290994449 x 10^n

1.290994449 x 57.29577951 = 7.396853331 Squared Yoda Megalithic Yard x 10^n

7.396853331 x 57.29577951 = 423.8084775 = "True Outer Sarcen Circle Area of Stonehenge"** / 2 = (Generic Area of A Circle 10313.24031 / Remen 1.216733603) / 2

*The interesting and seemingly important figure 1.271425433 = (108 x Alternate Pi 1.177245771) / 100 = MLM Royal Cubit in inches = 2.062648062 / "Alternate Phi" 1.62331147 and etc etc.

**Obtained by substituting the Unsquared Yoda Meg Yard 2.719715671 for the "Alternate e' Meg Yard" 2.720174976 in calculation of the area enclosed by the outer circumference of the Sarcen Circle, inner sarcen circle area = 48.66934411^2 x Pi = 7441.506403 sq feet (Yoda).

It also reminds me to go back and double check on exactly what they may be using to represent "13" where in the Tikal temples. So far we only have The Amazing 1.290994449 probably expressed by a masonry block that divides one of the temple staircases from the top platform to the temple door, but further displays of this number's great usefulness imply it may be expected that it will be found there with some frequency. It has the makings of an ancient favorite, and is of course the reciprocal of the square root of 60, which Pi Jedi have traditionally thought to be on blatant display at Stonehenge along with the square root of 15, courtesy of separate major arrays of 60 and 15 stones respectively in an unusual presentation.

And yeah, there's some old data peeking out of the strikethroughs of "Grid Coordinates" (= Map Crap) that's historically interesting. How did Yoda and I both get taken in by the Map Crap game? Well, using the Stonehenge coordinates "as is" from British maps, he got the Double Remen as the "Grid Point" of Stonehenge, and when I attempted to correct the coordinates to the WGS 84 Datum I got 2.920160646 for the "Grid Point" of Stonehenge. What could possibly be more deceptive? If we were complete boneheads, at least we were commendably picky about being complete boneheads, I'll say that for us.

I tried working on Rio Bec again but got very confused once more, it's really looking like the sort of thing where we'd find that the length of structure A at the top of the outer walls would be slightly different than the length at the top of the walls in order to catch a number of "near-miss" equations, and the same might go for the interior rooms.

That may be what is meant by "feathered serpent," that equations concerning the mythological mathematical serpent begin to "feather" around the edges, or what I call "fraying" - when the ancients ambitiously tried to link up certain numbers that didn't quite match up perfectly, so that numerous possible equations and probably many with equal validity, begin to pour forth from the proceedings.

(No idea what the Xibalba the "underworld" is mathematically - the closer of two geodetic figures in a literal representation of the larger "over" the smaller? (i.e., the difference between 2.920160646^3 x 10^n and "a zillion Cholulas" 1.315947254 x 10^n ?? - or the difference between a circumference figure and a mean circumference figure?? "A zillion Cholulas" does look a lot like a mean Earth circumference figure if you take it more literally. However, the concept of "the underworld" also seems to be linked to ancient water sources, so it might be possible that mathematics was employed to provide these water sources with some sort of coordinates, although I have no idea how that might work. Some of the literature suggests that these may have been strategic and/or protected resources, and the frequent association of pyramids or other ancient monuments with underground water is also duly noted. Perhaps the theme of water is being used in context to refer to both the local water source(s) and geodetically to the distance "across the water"?)

I really don't have the data to do that sort of detailed work with Rio Bec or a lot of other places, though - only single measures for the length or width of rooms and doors generally. It's still a lot like Lehner giving us single figures for the dimensions of the Great Pyramid chambers rather than the more detailed and more interesting measures provided by Petrie. I can see in many photographs how many ancient Mesoamerican doorways look deliberately irregular so that they may have valid measures at top, bottom, and probably mid, but I have yet to find any data that detailed. Again, in many cases no one seems to have even taken measures of the door heights, let alone providing us three different figures for width, and same with what are probably deliberate irregularities in calendar stones. (Likewise, George Andrews, bless him, frequently gave us complete measures for first chamber inside the temple door so that someday we might see a few complete interpretations of such things, but rarely complete data for temple chambers after that).

I'd like to get back to the Tizoc stone, I think it's part of the workings that they managed to incorporate an interesting pair of important numbers

MLM Royal Cubit 1.718873385 x sqrt 240 = 2662.867198 / 10 = Squared Yoda Meg Yard x 360, etc

(6 x (Pi^3)) x sqrt 240 = 2882.083037 = height Great Pyramid (paved) x 60, etc

Although the loudest proof that I need to revisit it is that offhand, I can't remember exactly how they did that... I'd be mighty proud of myself though I could design a monument that deftly incorporated both of these numbers (in addition to all the calendar-related demands being put on the associated equations) but I think the Aztecs might have managed?

Been looking for more data on calendar stones - if I had two more as eloquent as the infamous and often misnomered Aztec Calendar Stone (aka "Mayan Calendar"), I'd probably consider e-mailing real archaeologists and begging them to stop throwing away priceless examples of ancient mathematics. I suppose the last thing they'd want to believe without further stunning examples is that ancient Mesoamericans seem to have constructed these elaborate mathematical formulas in modern feet, as strongly evidenced by the "Sun Stone".

However, the data I have so far on calendar stones makes it look like they come in a variety of sizes, whereas repeating the same formula as the "Sun Stone" would of course require the same measurements (a 1:10 scale model seems uncharacteristically puny), so if they repeated the exact formula with different proportions, I'm not sure yet what creative manouvers they might have used to accomplish that - possibly by using a second metrological unit, or halfing, or using reciprocals, but I've no idea which offhand. It's a subject in itself really.

Just a piece of trivia, I suppose, but going through photos I was intrigued with Nakum since it's near to Tikal and probably displays some parallels in design. There is a temple where there are what appear to be two circular recesses about the size of calendar stones in the exterior wall with small holes in them that might have facilitated mounting of a circular object. I can't think of any other time I have seen that. I have virtually no data yet about the matter, but if someone came up with a couple of calendar stones so good they were worth hanging up on a temple exterior, I'd dearly love to know more.

Temple A, Nakum (Peten, Guatemala)

"Work and pray, live on hay, you'll get Pie In The Sky when you die." - Joe Hill, "The Preacher and the Slave" 1911