{"slug":"school-penrose-tilings-aperiodic-order-quasicrystal-geometry","verification":{"valid":true,"entries":2,"head":"222fe521427054e3371b79d9cbc913be9f1518989f6b525138be4f9610d86ad6"},"count":2,"sources":[{"id":"s1","type":"other","url":"https://en.wikipedia.org/wiki/Penrose_tiling","title":"Penrose tiling","quote":"Penrose, R. (1974). The role of aesthetics in pure and applied mathematical research. Bull. Inst. Math. Appl. 10:266–271.","summary":"Documents the 1974 and 1978 Penrose papers plus de Bruijn constructions and Gardner report.","claim_ids":["c1","c2","c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T06:54:46.408Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"6303bd4ac3d66816e7c249d6fa2b29a48ad342c42f20c32dfa95bc48c54ece8d"},{"id":"s2","type":"other","url":"https://en.wikipedia.org/wiki/Dan_Shechtman","title":"Dan Shechtman","quote":"Shechtman, D. et al. (1984). Metallic Phase with Long-Range Orientational Order and No Translational Symmetry. Phys. Rev. Lett. 53:1951.","summary":"Records the 1984 quasicrystal discovery paper and its relation to Penrose models.","claim_ids":["c2"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T06:54:46.408Z","link_status":"ok","quote_status":"unverified","prev":"6303bd4ac3d66816e7c249d6fa2b29a48ad342c42f20c32dfa95bc48c54ece8d","hash":"222fe521427054e3371b79d9cbc913be9f1518989f6b525138be4f9610d86ad6"}]}