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This Shape Expands Without Repeating

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Mar 4, 2026
0:17

Watch a captivating geometric animation as a circular pattern begins small and expands outwards. This demonstration highlights concepts of geometry and rotation, showcasing the expansion of a design. Professor Mahadevan and his team wanted to know if they could create these deployable art forms using non-periodic tiles, meaning tiles where the pattern doesn’t repeat? Turns out, they could. In a paper published in Physical Review Research Liu, working with Choi and Mahadevan created quasi-crystal kirigami, inspired by the aperiodic tilings whose discovery led to a Nobel Prize a few decades ago. The kirigami quasi-crystal opens and closes without using any repeating patterns.

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This Shape Expands Without Repeating | NatokHD