There is no Perfect Cuboid
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913193981378560 |
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| author | Lloyd, Ivor |
| author_facet | Lloyd, Ivor |
| contents | A perfect cuboid is formed when an Euler brick whose edges and face diagonals are all integers also has an integer internal diagonal. It is known that if a perfect cuboid exists the internal diagonal is odd. No perfect cuboid has been found. This simple proof shows that the internal diaogonal of an Euler brick cannot be an odd integer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06160 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | There is no Perfect Cuboid Lloyd, Ivor General Mathematics A perfect cuboid is formed when an Euler brick whose edges and face diagonals are all integers also has an integer internal diagonal. It is known that if a perfect cuboid exists the internal diagonal is odd. No perfect cuboid has been found. This simple proof shows that the internal diaogonal of an Euler brick cannot be an odd integer. |
| title | There is no Perfect Cuboid |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2206.06160 |