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We review recent progress in applying information- and computation-theoreticmeasures to describe material structure that transcends previous methods basedon exact geometric symmetries. We discuss the necessary theoretical backgroundfor this new toolset and show how the new techniques detect and describe novelmaterial properties. We discuss how the approach relates to well knowncrystallographic practice and examine how it provides novel interpretations offamiliar structures. Throughout, we concentrate on disordered materials that,while important, have received less attention both theoretically andexperimentally than those with either periodic or aperiodic order.

Chaotic Crystallography: How the physics of information reveals structural order in materials