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Both vertices and vertexes are acceptable, but vertices is more commonly used.
I cannot imagine this being acceptable, unless there is some emergency situation that requires completing the lift at the specific time.
It is quite acceptable to call it a 50-agon but what's more important is knowing how to work out its properties
It is quite acceptable to call it a 26-agon but what's more important is knowing how to work out its properties
It is quite acceptable to call it a 1000-agon but what is more important is knowing how to work out its properties.