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It depends on the circumstances. A sphere is the strongest shape for resisting uniform compression from all angles, either when their is a high pressure on the outside or inside (hence the use of dome shaped space suit helmets or dome shaped submarine windows). A triangle is the most rigid shape however, so if you want to cantilever an object, a series of tessellating triangles would provide the strongest structure (hence the widespread use of octet-trusses - the strongest known structure for cantilever stresses). A hexagon is the strongest shape when packed together in a tessellation, but only for compressive forces (hence the ubiquitous hexagonal forms in nature such as the bees honeycombs). The three dimensional equivalent of hexagonal grid is a lorimerlite structure, which is the strongest truss for resisting compressive forces.

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