Ancient Monument Phi Ratios
Archaeogeodesy is defined as an area of study encompassing prehistoric and ancient place determination, point positioning, astronomy, geodynamic phenomena, measure and representation of the earth, surveying, and navigation on land or water.

Site Placemarks  Download the sites KML file, spanning the globe, more than 15,000 placemarks of ancient monuments and anthropogenic features. In Google Earth, this file will display all the site placemarks cited in this and my other results files. 
Research Application  Download my Excel spreadsheet with coordinates for thousands of mounds, pyramids, monuments, and other ancient sites worldwide. With this applet you can repeat the results herein, add more monuments, check site interrelationships, add programming, and more. Archaeogeodesy XLS: archaeogeodesy.xls With analysis of the geodetic relationships of monuments, coordinate precision is necessary to provide confidence in results. The sources of the site coordinates herein are accessibly databased in my Excel research applet in the sites worksheet with over 7,000 entries. The unique site identifier codes, such as intih for Intiwatana UTM, are employed to input site coordinates in the applet. Anyone can download the applet and repeat the results herein. 
Newark Octagon GPS readings and derived coordinates viewed in Google Earth. 
Phi Ratios
Stated simply, the golden mean or golden ratio divides a line such that the whole is proportional to the longer part as the longer part is to the shorter part. The golden ratio, x : 1 = 1 : x + 1, stated numerically is 0.618034... : 1.0 = 1.0 : 1.618034..., where Phi like pi is an infinite irrational number (1.6180339887...). Upper case Phi represents 1.618... and lower case phi is 0.618..., Phi  1 = phi. I tend to ignore the Greek, italicized upper and lower case convention, refer to both in lower case, and reference the ratio moreso than the values. The formula obtains from a triangle with sides 2 : 1 and thus a hypotenuse equaling the square root of five. The values equate to half of two sides, [(one plus the square root of five) divided by two] and to [(one minus the square root of five) divided by two]. The x  1 = y and x + 1 = y formulations have relevance in astronomy orbit ratios.
 

Observatory Mound  Acre Octagon arc 51.827238° cosine = 0.618035 (6m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
In 2022 I examined the spatial relationship of the Acre Octagon with Newark Octagon and noted the cosine of their arc distance equals phi. I also noticed Acre Octagon is twice as far from the North Pole as Newark Octagon. More octagon relationships study results: Download Octagons KLM  jqjacobs.net/kml/octagons.kml 
Observatory Circle  Acre Octagon  North Pole noccnpoleacroc arcs ratio @ npole = 1.0 : 0.499999 (6m) 
I place these intrasite results in a separate folder due to the differences between intersite and intrasite results in margins of error and in precision confidence levels.
Discussion of precision in the methodology folder in the above linked KML file further addresses margins of error and coordinate accuracy. There is also a Methods, Coordinates, Precision, and Margins of Error section in the companion Machupicchu Archaeogeodesy web page. Web Archive 
My GPS readings produced a 51.52° azimuth from the center of Observatory Mound to the gateway at the opposite apex of the Octagon work (noom +/5m to noe +/5m, 863m arc). 51.827292° cosine = 0.618034 The cosine of the arc distance angle from the Newark Octagon's Observatory Mound to the Acre Octagon (noomacroc arc 51.827238°) equals phi and matches both the earthwork's azimuth and the lunar major azimuth. Observatory Mound lunar major for 462 C.E. = 51.8273° (474 C.E. at the Octagon centerpoint). Middleton reported a 51.45° azimuth for the Observatory Circle and a mean of 51.98° for the parallel earth banks between the Octagon and Observatory Circle. According to Thomas (1894), the Octagon's azimuth is 52.15° E. of N. A four to pi right triangle has a 51.854° angle. Temporal Epoch Calculations discusses the Newark Octagon azimuth, the lunar major alignment, and possible interpretations.

Poverty Point A  Poverty Point B arc 0.005846° = cir / 61,580.3 (+2.3m) ns 0.005824° = cir / 61,813.2 (0.1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0

Poverty Point A  Poverty Point B  Poverty Point E arcs ratio @ povpa = 1.0 : 0.618670 (+0.4m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Llactapata Sun Temple  Waynapicchu  Montaña Machupicchu ns ratio @ mwayn = 1.0 : 0.617829 (+1m) ns ratio @ mmapi = 1.0 : 0.618570 (1m) ns ratio @ llact = 1.0 : 2.616633 (+1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive Web Archive 
Intiwatana UTM  Chavin Plaza Circular arc : ns ratio = 1.0 : 0.618027 (5m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Chavin de Huantar Archaeogeodesy 
Ceremonial Rock  Huanuco Pampa Ushnu arc : ns ratio = 1.0 : 0.618030 (2m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0  
Waynapicchu  Chavin Plaza  Huanuco Pampa Ushnu mwaynchhpqhuapu arcs ratio @ mwayn = 1.0 : 0.921493 (+1m) epoch inca mn = 0.921493 moons per lunar nodal period  
Web Archive 
Observatory Mound  Poverty Point Earthworks  Etzanoa Circle arcs ratio @ popoe = 1.0 : 0.618047 (+15m) phi ratio 1.0 : 0.618034 = 1.0 : 1.618034 
La Danta GPS  Calakmul Pyramid  Tikal IV arcs ratio @ ldant = 1.0 : 0.618482 (+29m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Eagle Mound  Tumi Chucua Zanja  Ute Circle arcs ratio @ nccm = 1.0 : 2.618053 (16m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Phi squared = 2.618034... 
Ute Circle  La Plata Circle utecilplac ns : ew @ uteci = 1.0 : 0.628418 (+2m) pi * 2.0 = 6.283185… Holmes Group article with lidar image of La Plata Circle. 
Ute Circle, one of several Southwest great circles, is smaller than Tumi Chucua and larger than the Great Circle. The two circles in my graphic illustrating their relative sizes are based on mean radii. The sixteen meter circle in the center is the margin of error for the centeroncenter arc distances ratio from Eagle Mound at the center of Newark's Great Circle. 
Huaca Prieta  Kalasasaya Gateway  Garopaba Sambaqui arcs ratio @ garop = 1.0 : 0.618037 (+13m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Huaca Prieta  Puerto de la Luna  Garopaba Sambaqui hprieplunagarop ew ratio @ pluna = 1.0 : 1.861095 (0.3m) epoch neolithic os = 18.6109477 orbits per lunar standstill period 
Largest shell mound in the Americas, in volume nearly equal to Monks Mound. Wikimedia Commons 
Sechin Alto Sala  Kuelap Kallanka  Chimborazo GPS arcs ratio @ kueka = 1.0 : 2.618038 (+0.5m) Phi squared = 2.618034... 
Primer Edificio Sunken Plaza  Kuelap Alto  Chimborazo GPS sebspkuelachimb ew ratio @ sebsp = 1.0 : 0.618036 (+0.1m) ew ratio @ kuela = 1.0 : 2.618029 (+0.1m) ew ratio @ chimb = 1.0 : 0.618033 (0.1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Octagon Apex  Thornborough North  Khufu Pyramid arcs ratio @ noe = 1.0 : 0.618034 (+2m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Observatory Mound  Thornborough North  Sphinx noomthoncsphip arcs ratio @ noom = 1.0 : 0.618033 (12m) 
Octagon Apex  Thornborough North  Khafre Pyramid noethonckhafr arcs ratio @ noe = 1.0 : 0.618033 (11m) Web Archive 
Octagon Gateway  Poverty Point A  Pueblo Colorado Circle ew ratio @ pcolc = 1.0 : 0.618036 (+6m) ew ratio @ popma = 1.0 : 0.618028 (10m) ew ratio @ nocga = 1.0 : 2.618050 (6m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Observatory Circle  Tumi Chucua Mound  Pueblo Colorado Circle nocctuchmpcolc arcs ratio @ nocc = 1.0 : 0.365010 (2m) epoch hopewell lr = 0.0365011 lunar orbits per rotation 

Newark Octagon Gateway  Monte Alban Plaza  Moral Reforma Pyramid ew ratio @ nocga = 1.0 : 0.618035 (+1m) ew ratio @ mrefp = 1.0 : 0.618032 (2m) ew ratio @ malpp = 1.0 : 2.618039 (1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Observatory Circle  Caracol  Salkantay GPS ew ratio @ salka = 1.0 : 0.618024 (18m) ew ratio @ nocc = 1.0 : 0.618061 (+29m) ew ratio @ salka = 1.0 : 2.617964 (+18m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Observatory Circle  Castillo  Cerro Sallqantay nocccastisallq ew ratio @ nocc = 1.0 : 0.618032 (2m) nocccastisallq ew ratio @ sallq = 1.0 : 0.618035 (+1m) nocccastisallq ew ratio @ sallq = 1.0 : 2.618039 (1m) 
Observatory Circle  Machupicchu Courtyard  Salkantay GPS noccmapicsalka arcs ratio @ mapic = 1.0 : 0.0031422 (+4m) Web Archive 
Observatory Circle  Castillo  Gran Caverna II ew ratio @ nocc = 1.0 : 0.618038 (+5m) ew ratio @ grcav = 1.0 : 0.618032 (3m) ew ratio @ casti = 1.0 : 2.618023 (+3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Octagon Gateway  Castillo  Intipata Middle Ruin nocgacastiintmr ew ratio @ nocga = 1.0 : 0.618020 (9m) nocgacastiintmr ew ratio @ intmr = 1.0 : 0.618039 (+9m) nocgacastiintmr ew ratio @ nocga = 1.0 : 2.618070 (15m) Web Archive 
Eagle Mound  Chavin Plaza  Puerto de la Luna ew ratio @ chhpq = 1.0 : 0.618041 (+5m) ew ratio @ pluna = 1.0 : 0.618031 (4m) ew ratio @ nccm = 1.0 : 2.618041 (+4m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Eagle Mound  Chavin Lanzon  Puma Punku nccmchhlapupup ew @ pupup 1.0 : 0.618017 (26m) 
Newark Octagon Gateway  Huaca San Jacinto  Kalasasaya Axis Mundi ew ratio @ nocga = 1.0 : 2.618089 (12m) ew ratio @ husja = 1.0 : 0.618013 (20m) ew ratio @ kalax = 1.0 : 0.618042 (+12m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Observatory Mound  Yaxchilan Great Acropolis  Kalasasaya Axis Mundi ew ratio @ noom = 1.0 : 0.618035 (+1.1m) ew ratio @ yaxga = 1.0 : 2.618032 (0.7m) ew ratio @ kalax = 1.0 : 0.618035 (+0.7m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Newark Octagon  Yaxchilan Great Acropolis  Chavin A nocpyaxgachhha ew ratio @ nocp = 1.0 : 0.618032 (2m) nocpyaxgachhha ew ratio @ yaxga = 1.0 : 0.618035 (+1m) nocpyaxgachhha ew ratio @ chhha = 1.0 : 2.618039 (1m) Web Archive 
Newark Octagon  Yaxchilan Great Acropolis  Chavin A ew ratio @ nocp = 1.0 : 0.618032 (2m) ew ratio @ yaxga = 1.0 : 0.618035 (+1m) ew ratio @ chhha = 1.0 : 2.618039 (1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Octagon Apex  Ceibal A24  San Lorenzo ew @ noe = 1.0 : 0.618031 (4m) ew @ ceiba = 1.0 : 0.618042 (+7m) ew @ slore = 1.0 : 2.618012 (+4m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Octagon Apex  Ceibal A24  San Lorenzo South Court ew ratio @ noe = 1.0 : 0.618033 (1m) ew ratio @ ceiba = 1.0 : 0.618036 (+2m) ew ratio @ slosc = 1.0 : 2.618033 (+1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 PLoS ONE 14(8) 
Newark Octagon Gateway  Copan Inscriptions Pyramid  Cochasqui Sur ew ratio @ nocga = 1.0 : 0.618034 (+0.1m) ew ratio @ copai = 1.0 : 0.618034 (0.1m) ew ratio @ pcocs = 1.0 : 2.618034 (+0.1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Newark Octagon  Poverty Point A  Pachacamac ew ratio @ popma = 1.0 : 0.618009 (40m) ew ratio @ nocp = 1.0 : 0.618099 (+40m) phi ratio 1.0 : 0.618034... = 1.618034... 
Octagon Gateway  Poverty Point Earthworks  Acre Octagon ew ratio @ nocg = 1.0 : 0.600004 (+7m) ew ratio @ acroc = 1.0 : 0.624998 (4m) ew ratio @ acroc = 8.000021 : 5.0 (4m) 
Poverty Point World Heritage Site The central construction consists of six rows of concentric ridges, parts of which were as high as five feet. The ridges form a semiellipse or Cshape, divided into sections by at least four aisles. The diameter of the outermost ridge measures nearly threequarters of a mile. It is thought that these ridges served as foundations for dwellings although little evidence of structures has been found. However, features and midden deposits uncovered during excavations support this hypothesis. 
Great Circle  Poverty Point A  Rio Branco Double Quadrangle ew ratio @ ncec = 1.0 : 0.618044 (+16m) ew ratio @ rbrdq = 1.0 : 0.618030 (10m) ew ratio @ popma = 1.0 : 2.618009 (+10m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Newark Octagon  Poverty Point Earthworks  Rio Branco Double Quadrangle nocppopoerbrdq arcs ratio @ nocp = 1.0 : 0.199999 (4m) 
Octagon Gateway  Monte Alban Sunken Plaza  Rio Branco Double Quadrangle nocgamaspzrbrbq arcs ratio @ maspz = 1.0 : 0.666668 (+8m) 
Machupicchu Serpent Rock  Tumi Chucua Zanja  Liberty Circle ew ratio @ mpqsr = 1.0 : 0.618035 (+1m) ew ratio @ libci = 1.0 : 0.618034 (1m) ew ratio @ tuchz = 1.0 : 2.618031 (+1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Machupicchu Windows  Tumi Chucua Mound  Liberty Circle machwtuchmlibci ew ratio @ machw = 1.0 : 0.618037 (+3m) 
Great Circle  Liberty Circle  Tumi Chucua Zanja nceclibcituchz ew ratio @ ncec = 1.0 : 0.027382 (+5m) nceclibcituchz ew ratio @ ncec = 36.520555 : 1.0 (+5m) epoch hopewell yd = 0.0027379 years per day Eagle Mound  Liberty Circle  Tumi Chucua Zanja nccmlibcituchz ew ratio @ nccm = 1.0 : 0.027393 (6m) nccmlibcituchz ew ratio @ nccm = 1.0 : 36.50539 (6m) epoch hopewell rl = 27.3964671 rotations per lunar orbit Web Archive 
Waynapicchu  Sillustani Stone Tower I  Puma Punku ew ratio @ mwayn = 1.0 : 0.618027 (3m) ew ratio @ sils1 = 1.0 : 0.618052 (+5m) ew ratio @ pupup = 1.0 : 2.617987 (+3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Ceremonial Rock  Sillustani  Puma Punku ceremsillupupup ew ratio @ cerem = 1.0 : 0.618037 (+1m) Web Archive Web Archive 
Machupicchu Torreon  Loma X Zanja 2100 x 1550m  Huascarán GPS ew ratio @ macht = 1.0 : 0.618027 (6m) ew ratio @ lomxc = 1.0 : 0.618036 (+4m) ew ratio @ huasc = 1.0 : 2.618051 (4m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Intimachay  Loma X  Huascarán GPS intimlomaxhuasc ew ratio @ lomax = 1.0 : 0.618040 (+9m) 
Machupicchu Portal  Loma X  Puma Punku mappolomaxpupup ns ratio @ mappo = 1.0 : 0.618017 (6m) 
Huascarán GPS  Rio Branco Double Quadrangle  Loma X huascrbrdqlomax ew ratio @ rbrdq = 1.0 : 0.365236 (7m) epoch inca dy = 365.242257 days per year Web Archive 
Primer Edificio Sunken Plaza  Kuelap Alto  Chimborazo GPS ew ratio @ sebsp = 1.0 : 0.618036 (+0.1m) ew ratio @ kuela = 1.0 : 2.618029 (+0.1m) ew ratio @ chimb = 1.0 : 0.618033 (0.1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Sechin Alto Sala  Kuelap Kallanka  Chimborazo GPS secaskuekachimb arcs ratio @ kueka = 1.0 : 2.618038 (+0.5m) Phi squared = 2.618034... 
Waynapicchu  Sechin Alto Sala  Angel Mound F ew ratio @ angef = 1.0 : 0.618033 (2m) ew ratio @ secas = 1.0 : 0.618038 (+4m) ew ratio @ mwayn = 1.0 : 2.618024 (+2m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0
Web Archive 
Tikal I  Aztec Hubbard TriWall Kiva  Primer Edificio Sunken Plaza ew ratio @ ahtwk = 1.0 : 0.618035 (+5m) ew ratio @ tikp1 = 1.0 : 0.618030 (8m) ew ratio @ sebsp = 1.0 : 2.618044 (5m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Aztec Ruins National Monument 
Palenque Cross  La Venta Mound  Cima Citlatepetl GPS ew ratio @ palec = 1.0 : 2.617950 (+7m) ew ratio @ lvenp = 1.0 : 0.618066 (+11m) ew ratio @ ccitl = 1.0 : 0.618022 (7m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 arcs ratio @ lvenp = 1.0 : 0.625032 (+11m) great circle bearings @ lvenp = 180.413877° Web Archive Web Archive 
Rio Branco Double Quadrangle  Rio Branco Circle  Acrelandia Double Square ew ratio @ rbrci = 1.0 : 0.617897 (9m) ew ratio @ rbrdq = 1.0 : 2.618393 (6m) ew ratio @ acrds = 1.0 : 0.618086 (+6m) arcs ratio @ acrds = 1.0 : 0.618299 (+28m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0  
Rio Branco Double Quadrangle  Rio Branco Square  Acrelandia Double Square rbrdqrbrsqacrds ew ratio @ acrds = 1.0 : 0.618182 (+16m) rbrdqrbrsqacrds arcs ratio @ acrds = 1.0 : 0.618467 (+45m)  
Rio Branco Double Quadrangle  Acre Double Parallelogram  Acrelandia Double Square rbrdqacrdsacrdp arcs ratio @ rbrdq = 1.0 : 0.499943 (6m) rbrdqacrdsacrts arcs ratio @ rbrdq = 1.0 : 0.500145 (+15m)

Aguada Fenix  Zuleta North Pyramid  Aconcagua GPS ew ratio @ fenix = 1.0 : 0.618029 (12m) ew ratio @ zulnp = 1.0 : 0.618048 (+20m) ew ratio @ acong = 1.0 : 2.617988 (+12m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Machupicchu Courtyard  Q'espiwanka  Pisaq Intiwantana ew ratio @ mapic = 1.0 : 0.618054 (+1.5m) ew ratio @ qespi = 1.0 : 0.617982 (2.5m) ew ratio @ pisai = 1.0 : 2.618170 (1.5m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Machupicchu Windows  Q'espiwanka  Pisaq Intiwantana machwqespipisai ew ratio @ mapic = 1.0 : 0.618008 (2m) Web Archive 
Monks Mound  Salomon Mound A  LSU South Mound ew ratio @ mm34c = 1.0 : 2.617842 (+3m) ew ratio @ salma = 1.0 : 0.618107 (+6m) ew ratio @ lsusm = 1.0 : 0.618006 (3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Monks Mound Terrace 3  Salomon Mound A  LSU North Mound mm3csalmalsunm ew ratio @ mm3c = 1.0 : 2.617960 (+1m) 
Salomon Mound A latitude 55.622521° = 0.6000002 radians (+1m) Salomon Mound A colatitude 55.622521° = 0.618028 meridian Salomon Mound C colatitude 55.622940° = 0.618033 meridian (13m) 
Monks Mound  Salomon Mound A  LSU South Mound mm34csalmalsusm ns ratio @ salma = 1.0 : 0.925189 (5m) epoch hopewell ml = 0.9251987 moons per lunar orbit jqjacobs.net 
Newark Octagon  Rattlesnake Mound  San Lorenzo ew ratio @ nocp = 1.0 : 0.618038 (+6m) ew ratio @ rattm = 1.0 : 0.618023 (9m) ew ratio @ slore = 1.0 : 2.618062 (6m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Great Circle  High Bank Works  Seip Mound GPS ew ratio @ ncec = 1.0 : 0.618035 (+0.13m) ew ratio @ hibaw = 1.0 : 0.618035 (0.2m) ew ratio @ seipm = 1.0 : 2.618044 (0.13m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Observatory Circle  Acre Octagon  North Pole ns ratio @ npole = 1.0 : 0.499999 (6m) 
Observatory Circle  Acre Octagon noccacroc arc 51.827748° cosine = 0.618028 (+51m) 
Observatory Mound  Acre Octagon noomacroc arc 51.827238° cosine = 0.618035 (6m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Octagon Apex  Amazonas Double Square 400m colatitude ratio = 1.0 : 0.618030 (39m) Newark Square  Amazonas Quadrangle nesqcamaqu colat ratio = 1.0 : 0.618030 (31m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Newark Octagon  Llactapata Platform Group  Amazonas Double Square 400m ns ratio @ nocp = 1.0 : 0.925196 (15m) epoch hopewell ml = 0.9251987 moons per lunar orbit ns ratio @ llapg = 1.0 : 0.074804 (+15m) epoch hopewell yl = 0.0748042 years per lunar orbit ns ratio @ amads2 = 1.0 : 0.080852 (+16m) epoch hopewell ym = 0.08085204 years per moon Web Archive 
Great Circle Gateway  Tula Pyramid A  Pachacamac Huaca Sol ns ratio @ pachs = 1.0 : 0.618036 (+13m) ns ratio @ tulaa = 1.0 : 0.618028 (21m) ns ratio @ ncgc = 1.0 : 2.618050 (13m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Great Circle  Tula Pyramid A  Pachacamac Huaca Sol ncectulaapachs ns ratio @ pachs = 1.0 : 0.618043 (+52m) Web Archive 
Octagon Entrance  Uxmal Magician Pyramid  Huaca San Jacinto ns ratio @ noa = 1.0 : 2.618042 (7m) ns ratio @ uxmmp = 1.0 : 0.618031 (11m) ns ratio @ husja = 1.0 : 0.618035 (+7m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Newark Octagon Gateway  Uxmal Magician Pyramid  Huaca San Jacinto nocgauxmmphusja ns ratio @ nocga = 1.0 : 2.618062 (23m) nocgauxmmphusja ns ratio @ uxmmp = 1.0 : 0.618023 (37m) nocgauxmmphusja ns ratio @ husja = 1.0 : 0.618038 (+23m) Web Archive 
Uxmal Magician Pyramid  Kabah Chultun  Sayil ns ratio @ uxmmp = 1.0 : 0.618021 (0.3m) ns ratio @ kabac = 1.0 : 0.618068 (+0.4m) ns ratio @ sayil = 1.0 : 2.617945 (+0.3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Observatory Circle  Piramide del Sol  Pumasillo ns ratio @ pumas = 1.0 : 0.618033 (7m) ns ratio @ pdsol = 1.0 : 0.618037 (+11m) ns ratio @ nocc = 1.0 : 2.618026 (+7m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0  
Chavin Plaza  Pumasillo  Puma Punku chhpqpumaspupup great circle 180.01815° @ pumas
Web Archive 
Observatory Circle  Pyramid of the Moon  Pumamarca ns ratio @ nocc = 1.0 : 2.618032 (+1m) ns ratio @ pmoon = 1.0 : 0.618035 (+2m) ns ratio @ pumam = 1.0 : 0.618034 (1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Newark Octagon Gateway  Piramide Cotoca  Cima Citlatepetl GPS ns ratio @ nocga = 1.0 : 2.618022 (+11m) ns ratio @ pcoto = 1.0 : 0.618032 (11m) ns ratio @ ccitl = 1.0 : 0.618039 (+17m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0

Newark Octagon  Dzibilchaltun  Chavin Huaca A ns ratio @ chhha = 1.0 : 1.618038 (9m) ns ratio @ dzibl = 1.0 : 1.618032 (+9m) ns ratio @ nocp = 1.0 : 2.618023 (+9m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Newark Octagon  Dzibilchaltun  Chavin Plaza nocpdziblchhpq ns ratio @ chhpq = 1.0 : 1.618033 (+3m) Web Archive 
Chavin Plaza Circular  Pachacamac III  Puma Punku ns ratio @ pupup = 1.0 : 0.618037 (+2m) ns ratio @ parp3 = 1.0 : 0.618026 (4m) ns ratio @ chhpc = 1.0 : 2.618054 (+2m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Web Archive 
Machupicchu Carved Rock  Huaca de la Luna latitude ratio = 1.0 : 0.618036 (+3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Waynapicchu  Huaca del Sol centerline mwaynhdscl latitude ratio = 1.0 : 0.618041 (+11m) Waynapicchu  Huaca del Sol mwaynhdsol latitude ratio @ hdsol = 1.0: 0.618015 (28m) Web Archive Web Archive 
Waynapicchu  Huaca del Sol centerline  Huayna Potosi ns ratio @ mwayn = 1.0 : 0.618042 (+3m) ns ratio @ hdscl = 1.0 : 1.618042 (4m) ns ratio @ hpoto = 1.0 : 2.618013 (+3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Waynapicchu  Huaca del Sol centerline mwaynhdscl latitude ratio = 1.0 : 0.618041 (+11m) Waynapicchu  Huaca del Sol mwaynhdsol latitude ratio @ hdsol = 1.0: 0.618015 (28m) 
Huaca del Sol centerline  Huayna Potosi hdsclhpoto latitude ratio = 1.0: 0.500006 (+12m) Web Archive Web Archive 
Ceremonial Rock  Acre Triple Square  Tumi Chucua ns ratio @ cerem = 1.0 : 0.618026 (3m) ns ratio @ tuchz = 1.0 : 0.618055 (+5m) ns ratio @ acrts = 1.0 : 2.617980 (+3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Acre Triple Square  Octagon Gateway acrtsnocga arc 51.853756° tan = 1.273230 (24m) pi : 4.0 = 1.0 : 1.273240 
Acre Triple Square  Observatory Mound acrtsnoom north pole arc distance ratio = 1.0 : 0.500000 (+4m) 
Acre Triple Square  Sphinx acrtssphip ew 98.561162° = cir / 3.65255 (+34m) ew 98.561162° = 100.000313 so (+34m) Web Archive 
Machupicchu Portal  Loma X  Puma Punku ns ratio @ mappo = 1.0 : 0.618017 (6m) ns ratio @ lomax = 1.0 : 0.618077 (+10m) ns ratio @ pupup = 1.0 : 2.617921 (+6m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Aguada Fenix  Chimborazo GPS  Aconcagua GPS ns ratio @ acong = 1.0 : 0.618033 (6m) ns ratio @ chimb = 1.0 : 0.618037 (+10m) ns ratio @ fenix = 1.0 : 2.618027 (6m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Wikimedia Commons 
Caral Pyramid  Aguada Fenix  Garopaba Sambaqui ns ratio @ fenix = 1.0: 0.618035 (+7m) ns ratio @ carap = 1.0: 0.618030 (12m) ns ratio @ fenix = 1.0: 2.618044 (7m) 
Caral Circular Plaza  Aguada Fenix Pyramid  Chimborazo GPS carcpfenipchimb arcs ratio @ carcp = 1.0 : 0.300003 (+11m) Web Archive 
Newark Octagon Gateway  Ute Circle  Spiro Mound ns ratio @ nocga = 1.0 : 0.618048 (+8m) ns ratio @ uteci = 1.0 : 0.617997 (+12m) ns ratio @ spirm = 1.0 : 2.618132 (8m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 Observatory Mound  Ute Circle  Spiro Brown Mound noomutecispibm ns ratio @ noom = 1.0 : 0.618017 (9m) noomutecispibm ns ratio @ uteci = 1.0 : 0.618079 (+15m) noomutecispibm ns ratio @ spibm = 1.0 : 2.617985 (8m) 
San Lorenzo South Court  Chimborazo GPS  Salkantay GPS ns @ slosc = 1.0 : 0.618034 (+1m) ns @ chimb = 1.0 : 0.618034 (1m) ns @ salka = 1.0 : 2.618035 (1m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Tumi Chucua Zanja  Apu Illimani GPS  Pumasillo ns ratio @ tuchz = 1.0 : 2.618025 (+0.8m) ns ratio @ ailli = 1.0 : 0.618033 (0.8m) ns ratio @ pumas = 1.0 : 0.618037 (+1.3m) phi ratio 1.0 : 0.618034... = 1.618034... : 1.0 
Wikipedia: Emperor Qin Shi Huang Ancient Monument Latitudes Evidence Accurate Astronomy 
Qin Shi Huang Pyramid 34.381313 109.253612 latitude = 0.600067 radians latitude : colatitude = 0.618161 : 1.0 colatitude : latitude = 1.0 : 1.617701 First Emperor of the Qin dynasty, 220 to 210 BCE Web Archive Web Archive Web Archive 
Yan Ling Pyramid 34.374865 108.698001 latitude = 0.599955 radians latitude : colatitude = 0.618057 : 1.0 Han Dynasty Emperor Cheng (51 BC–7 BC) ruled from 33 BCE until 7 CE. Web Archive Web Archive Web Archive Web Archive Web Archive 
phi latitude, Xian, China latitude : colatitude = 1.0 : 1.6180339887... phi latitude = 34.376941° yalip latitude 34.374865° qinsh latitude 34.381313° Web Archive 
3/5 radian latitude, Xian, China 3/5 radians latitude = 34.377468° Qin Shi Huang Pyramid latitude = 0.600067 radian Yan Ling Pyramid latitude = 0.599955 radian Web Archive 
Qin Shi Huang Pyramid latitude = 34.381313° latitude : colatitude = 0.618161 : 1.0 latitude : colatitude = 1.0 : 1.617701 phi = 1.6180339887... Web Archive 
Altar of the Earth  Huangchengtai  Qin Pyramid arcs ratio @ alear = 1.0 : 0.618043 (+8m) phi ratio 1.0 : 0.618034 = 1.618034 : 1.0 Web Archive Web Archive 