Geometric products & inverse operators / Documentation

Multiplying shapes: 24-shape atlas

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The archived source is available to read.

01 / THE QUESTION

Editorial guide

What does it mean to multiply two filled 2D shapes, and what face counts, topology, volume and 3D shadows does the product have?

02 / WHAT THE RECORD SAYS

Source passage

Every nonempty face of A × B is the product of one nonempty face of A with one of B, and its dimension is the sum of theirs.

03 / LIMITS & OPEN POINTS

Source passage

The pattern is established product geometry; it does not by itself prove a new physical dimension or universal algorithmic speedup.

04 / THE NEXT QUESTION

Editorial guide

None stated. The open checks are curved and concave pairs, which were not face-count tested, and the viewer, which was never tried in an actual browser.

05 / CHECKS IN THE RECORD

Editorial guide

This record does not separate a verification section. Read its methods, assumptions and original source before treating a claim as checked.

Source & provenance

Access: Public
Dates declared in the record: Prepared 5 September 2026. The chosen operation is the Cartesian product of filled planar regions. “Perfect triangle” is interpreted as equilateral.
Project basis: Explicit project source citation
Origin: d0re research collection (snapshot 1 October 2026)
Original path: archive/shape-products-atlas-shape-products-README.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: Date not recorded
Status basis: A standalone atlas with no version series. r-9652d273d004 dates itself "Prepared 5 September 2026." No later record replaces or withdraws it.
Size: 11,830 bytes
Word count: 1,925 words
SHA-256 of indexed source: 9652d273d0042e402813e81897e40b0640136ef4eb879aef3ce1ff775a792f0d

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Multiplying shapes: 24-shape atlas
Date not recorded
d0re research record r-9652d273d004
https://www.d0re.com/library/records/r-9652d273d004.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: Not recorded
Source SHA-256: 9652d273d0042e402813e81897e40b0640136ef4eb879aef3ce1ff775a792f0d