Relative geometry defined as precision measure beyond flat surfaces and 90-degree corners

Precision machined granite artifacts on the Giza Plateau - the Cornice and Couch blocks!
Source: Precision machined granite artifacts on the Giza Plateau - the Cornice and Couch blocks! by UnchartedX

"Relative geometry" is the term for how precisely opposing faces relate to each other and align — Flinders Petrie called the measure of it "proportion of scale." The VaseCAN project has now scanned roughly 200 hardstone vessels at micron-level detail, matching vessel segments to spheres, toroids, cylinders and cones. The Artifact Foundation has added scans from the British Museum and the Museum of Fine Arts, Boston. Lovely methodology. ⚙️

Key facts

  • Flinders Petrie termed the measure of relative geometry, the precision of opposing faces and their alignment to each other, the proportion of scale.
  • In hands-on metrology work in a precision machining lab, wall thickness of hardstone vases proved consistent within a couple thousandths of an inch around the vase body.
  • The VaseCAN project has scanned roughly 200 hardstone vases at micron-level detail and matches segments of each vessel to geometric primitives such as spheres, toroids, cylinders and cones.
  • Measurements include sphere center point against the vase center line, alignment of handle cylinders and toroids, and parallelism of the vase bottom to the top reference plane.
  • The Artifact Foundation recently scanned artifacts in the British Museum, adding to results from the Museum of Fine Arts, Boston, and private collections.
  • The presenter made a photogrammetry 3D model of the head of one of the massive Ramses statues at Luxor Temple while the head was still on the ground, and calls for higher-resolution scanning of such statues.

Related stories

Sources

A SMALL NAGADA HARD STONE VASEroyalprovenance.com
The main function of stone containers was to contain ointments or cosmetic oils and to preserve them thanks to the thickness and impermeability of their walls.
Stone vessels in ancient Egypten.wikipedia.org
Ancient Egyptian stone vessel production was one of the most prolific and long-lived industries in the Mediterranean. Such vessels were an important status ...
An Ovoid Vessel in Greywackefg-art.org
This finely crafted vessel dates back approximately 5000 years. Its remarkable polish lends it a shiny, almost metallic appearance.
Changing History! The Ancient Egyptian Hard Stone Vases. ...unchartedx.com
It's time to revisit the ancient Egyptian Vase Scan Project – a lot has happened in 2024, and even more is planned for 2025.
A Collector's Guide to Hardstonesrauantiques.com
Learn about the fascinating world of hardstones and their unique history with this comprehensive collector's guide. Read on to learn more.
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