Optimal Road Arrangement for Towns Connected by a Polygon

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If the vertices of a regular polygon represent 4 townships and are all connected by a system of roads.

To keep costs to a minimum, what is the ideal arrangement of roads?

What if not a regular polygon but a quadrilateral, cube, regular solid?

Can someone help me please :rolleyes:
 
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Natasha1 said:
quadrilateral

By definition, this only has four verticies. HINT: Polygons are two dimentional.

~H
 

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