PreprintCC0arXiv
Milnor's cartography problem
Abstract
We solve John Milnor's problem: among all convex regions of a given area on the sphere, the round disk requires the greatest distortion in cartographic projections onto the plane.
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BibTeX
@misc{petrunin2026milnors,
title = {{Milnor's cartography problem}},
author = {Anton Petrunin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.20265},
eprint = {2608.20265},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.20265},
note = {CC0},
}
RIS
TY - UNPB
TI - Milnor's cartography problem
AU - Anton Petrunin
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2608.20265
UR - https://arxiv.org/abs/2608.20265
AB - We solve John Milnor's problem: among all convex regions of a given area on the sphere, the round disk requires the greatest distortion in cartographic projections onto the plane.
ER -