The relevant 'dimensions' are the inside and outside. As with fineness ration there is a sweet spot.
A mirror-shuttered ridge cap would want to be N-S. Passive structures want E-W. Heat loss is related to exposed 'frontal area' to the prevailing winds. N-S ridge on an E-W plan was a feature of the
Shingle Style.
A compromise between the archaic box and the geodesic future would be an octagon plan.