Compound Criterion
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Compound criterion
Compound Criterion
No it is not. To be a multiple of a certain number, the first criterion is that the number must be greater than or equal to the number it is a multiple of. Since 7 is smaller than 48, 7 cannot be a multiple of 48.
The only thing that can be said that there must be at least 4 faces and at least 6 edges and that the polyhedron must satisfy the Euler criterion which requires that: Faces + Vertices = Edges + 2.
To be a multiple of 4, 10 and 20 the number must be a multiple of their lowest common multiple. lcm(4, 10, 20) = 20 What is required is a multiple of 20 between 61 and 107. The numbers 80 and 100 both satisfy the problem of being between 61 and 107 and being a multiple of 4, 10 and 20.