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Mathematical Object

Schwarz Lantern

Geometry

In mathematics, the Schwarz lantern is a polyhedral approximation to a cylinder, used as a pathological example of the difficulty of defining the area of a smooth, curved surface as the limit of the areas of polyhedra. It is formed from stacked rings of isosceles triangles, arranged within each ring in the same pattern as an antiprism, and the resulting shape can be folded from paper. It is named after the mathematician Hermann Schwarz and for its resemblance to a cylindrical paper lantern, and is also known as Schwarz's boot, Schwarz's polyhedron, or the Chinese lantern. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Geometric Object 1
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Attributed To

Source Schwarz Lantern (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Schwarz Lantern (Wikipedia)
Attributed To: Hermann Schwarz, Lead paragraph
Quote, Attributed To: Hermann Schwarz, Lead paragraph
In mathematics, the Schwarz lantern is a polyhedral approximation to a cylinder, used as a pathological example of the difficulty of defining the area
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