arXiv (All)
open access
The sphere is the only closed surface satisfying the fixed-width Archimedean property
Among Archimedes' many celebrated discoveries is a striking fact: the region of the unit sphere between two parallel planes, both meeting the sphere and separated by a distance $h$, has area $2πh$. We prove that, among connected smooth closed embedded surfaces in $\mathbb R^3$, this property charact
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Sharp Bohr and Bohr-Rogosinski inequalities involving area measure for close-to-convex harmonic mappings#985939
- Area stability of plank covers#1104608
- A Sharp Surface-Area Extension of Vaaler's Theorem#1064342
- Random hyperbolic polyhedra in horoballs#996805
- Regularized integrals and manifolds with log corners#357414
Record · ID 1156822
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive