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Limit of materials' layout

Microstructures that are useful in mathematical treatments of composite materials and structures are also described as ``strange'' limits of classical geometric patterns: The herringbone laminates, coated spheres, on smaller and smaller scales; sometimes the structure is defined as a fractal with a self-repeating rule to form a structure on a new scale.

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The effective properties of these materials are much like weak limits or as Plato's shadows of the real limiting structure.

Andre Cherkaev