Golden Circles & the Impossible Granite Artifact
For a few years I’ve been following Ben’s van Kerkwyk’s work and travels with Uncharted X, as he finds and shows many ancient megalithic sites and stone artifacts and sculptures, that when critically looked at from an engineering and technical perspective, seem out of place for the periods they are officially said to be from. The particular case of this vase was very revealing though, and they were able to get many ways of scanning and analyzing the mathematical levels of precision and accuracy used in its creation, exhibiting examples of both Pi and Phi in its design proportions. This really begs explanation for an object supposedly from the early kingdom in Egypt said to be made by hand with hammer & chisel.
When I first saw the thumbnail for Uncharted X’s latest video on this, the top lid of the vase immediately caught my attention, and I thought it looked pretty close to a Golden Ratio spaced circle relationship. The Golden Ratio Circles or Golden Circles are a way of aligning a series of concentric circles in phi spaced relation to each other, that can be viewed in 2, 3, or 5-fold views. The power this template has for exploring sacred geometry, and for uniting and connecting the various ratios and complexity of forms into simple coherent patterns, is great. This incredible insight was discovered by George Leoniak, and currently explored by the geometers at Knew Geometry. (For more on the Golden Circles see Phi-Eye and the Golden Circles)
So I started overlaying the Golden Circles template over the vase, and integrated with the Flower of Life pattern, some fascinating connections and alignments with its forms and overall design started to stand out.
The mathematical analysis (Abstractions Set in Granite) of the scan data of the vases geometry done by Mark Qvist shows how the Flower of Life pattern integrates into its design from a side view, with the central circle fitting perfectly. There are many mathematical relationships within this artifact and they are related to the radian system of measuring, that can be found within an angle created from constructing the vesica piscis circles of the Flower of Life.
“The creators of this object inscribed π to perfection at the microscopic scale, in one of the hardest and most difficult materials to work with. I remain doubtful, that it would even be possible to replicate this result with modern CNC machinery.” — Mark Qvist
The vase has three tiers of phi ratio circles when seen from the top view. It’s precision is more accurate than my compass drawn overlay circles, but you can still get an idea of the basic relation of the alignments.
The top view really shows the centrally nested Golden Circles..
Two more examples of the top view with 3 tiers of Golden Circles from a digital template, apologies for the crudeness of these overlays.
One takeaway for me from this, is that it is very likely the study of sacred geometry itself is a far more ancient practice than we could’ve imagined, and possibly from an ancient lost civilization before our known history, with a thorough knowledge of advanced mathematical universal constants, and an exquisite engineering and technological capacity to create these stone artifacts of uncanny precision and abstraction.
It was exciting to find that the Golden Circles could be added to show even more reinforcement of the precision, and work with the other examples of the phi ratio and pi inherent in the objects dimensions. That this kind of precision is even possible in any stone carving would be astonishing, let alone in one of the hardest to carve stones, granite, really presents a profound historical and empirical mystery. The precision and accuracy and embedded mathematics suggests the artifact was created more in some kind of automated system or computer, capable or correlating the designs mathematics and producing it flawlessly in one piece.
“The world around us is a world of numbers — numbers that spell life and harmony. They are organized by the geometry of figures, all related to one another according to a sublime order, into dynamic symmetry.
Glimpses into this magnificent kingdom form the basis of all our knowledge and it seems that in this domain the ancient civilizations had gone further than modern science.”
— Paul Jacques Grillo, Architect (1960)
— — :•: — —
Ben’s video on the vase analysis: Was a TURING MACHINE Used to Design this Artifact??
Marks Qvist’s article and analysis: Abstractions Set in Stone
https://unsigned.io/articles/2023_03_17_Abstractions_Set_In_Granite.html
Initial Geometric Analysis of The Pre-Dynastic Vase:
https://unsigned.io/log/2023_02_24_Initial_Geometric_Analysis_of_the_Pre_Dynastic_Vase.html
More on the initial light-structured scan: Scanning a Predynastic Granite Vase to 1000th of an inch:
Ancient Egyptian Vase Scan Update:
Ben’s link to download the full scan file of the vase as an STL file:
