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Serge proposed two approaches: a nondestructive density determination and a creative tensile approximation using a miniature bending test. They began with density. A small cup of water, a careful immersion, a suspended scale borrowed from the home-ec teacher — Lise rigged a loop of thread under the disc and weighed it submerged and in air. The numbers gave density with some uncertainty. Serge consulted a small booklet of metal densities he had in his head — aluminum around 2.7 g/cm³, brass roughly 8.5, stainless steel near 8.0. Their calculated density matched brass, give or take.

“How did you know brass?” a girl asked. file serge3dxmeasuringcontestandprincipa free

When measuring a 3D shape, the (the eigenvectors of the inertia tensor) define the object’s natural orientation. Any measuring contest worth its salt will align the object to its principal components before comparing dimensions like: The numbers gave density with some uncertainty

The specific string appears to be a fragmented or highly specific search term, possibly related to niche 3D metrology (measurement) software or a community-led modeling contest. Based on the terms "3DX," "measuring," and "contest," the following areas are the most likely contexts: Potential Contexts : “How did you know brass

Halfway through the contest, a large corporation sent Serge a cease-and-desist letter, claiming his “free principle” infringed on their patent for “webcam-based volumetric estimation.” Serge had one week to pull the contest or face a lawsuit.

: This suggests that whatever is being referred to might be available without cost.

# Compute PCA (Principal Component Analysis) centroid = vertices.mean(axis=0) centered = vertices - centroid cov = np.cov(centered.T) eigenvalues, eigenvectors = np.linalg.eig(cov)