File:Dense planar locally linear.svg

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Summary

Description
English: Gluing an antiprism (small red vertices and black edges) into each face of a planar graph with quadrilateral faces (the larger grid formed by the large blue vertices and dashed yellow edges) produces a planar locally linear graph with the maximum possible density, approximately twelve edges for every five vertices.
Date
Source Own work
Author David Eppstein

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

A dense planar locally linear graph

Items portrayed in this file

depicts

12 February 2019

File history

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Date/TimeThumbnailDimensionsUserComment
current02:20, 5 December 2025Thumbnail for version as of 02:20, 5 December 2025847 × 847 (1 KB)wikimediacommons>Д.ИльинOptimization

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