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Eulero e i poliedri

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22<br />

• non possono esistere <strong>poliedri</strong> con sette<br />

spigoli<br />

infatti, se così fosse F + V = 9<br />

poiché F ≥ 4 e V ≥ 4<br />

due possibilità :<br />

F = 4 e V = 5<br />

e allora q = 14/5 < 3<br />

impossibili<br />

casi<br />

F = 5 e V = 4<br />

e allora p = 14/5 < 3,

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