File:Moser spindle visual proof.svg
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Summary
| Description | Proof without words that the chromatic number of a plane is at least four, redrawn by CMG Lee. Each edge is of unit length. As every vertex of each triangle is connected to every other, they must be coloured differently. The top and bottom vertices of each lozenge can be the same colour. However, the bottom edge connecting the bottom vertices (purple) connects two vertices of the same colour, proving the impossibilty of a 3-colouring. |
| Source | Own work |
| Author | Cmglee |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:17, 17 November 2024 | | 512 × 512 (453 bytes) | Cmglee | {{Information |Description=Proof without words that the chromatic number of a plane is at least four, redrawn by CMG Lee. Each edge is of unit length. As every vertex of each triangle is connected to every other, they must be coloured differently. The top and bottom vertices of each lozenge can be the same colour. However, the bottom edge connecting the bottom vertices (purple) connects two vertices of the same colour, proving the impossibilty of a 3-colouring. |Source={{own}} |Date= |Author=... |
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