{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T02:23:09Z","timestamp":1773800589143,"version":"3.50.1"},"publisher-location":"New York, NY, USA","reference-count":36,"publisher":"ACM","license":[{"start":{"date-parts":[[2024,7,13]],"date-time":"2024-07-13T00:00:00Z","timestamp":1720828800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,7,13]]},"DOI":"10.1145\/3641519.3657466","type":"proceedings-article","created":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T06:39:28Z","timestamp":1720766368000},"page":"1-8","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Into the Portal: Directable Fractal Self-Similarity"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-3486-5238","authenticated-orcid":false,"given":"Alexa","family":"Schor","sequence":"first","affiliation":[{"name":"Yale University, United States of America"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1131-8685","authenticated-orcid":false,"given":"Theodore","family":"Kim","sequence":"additional","affiliation":[{"name":"Yale University, United States of America"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2024,7,13]]},"reference":[{"key":"e_1_3_2_2_1_1","volume-title":"Fractals everywhere","author":"Barnsley Michael","unstructured":"Michael Barnsley. 2014. Fractals everywhere (2nd ed.). Academic Press.","edition":"2"},{"key":"e_1_3_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/54852.378502"},{"key":"e_1_3_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/325334.325245"},{"key":"e_1_3_2_2_4_1","unstructured":"Adrien Douady John\u00a0Hamal Hubbard and Pierre Lavaurs. 1984. Etude dynamique des polyn\u00f4mes complexes. Universit\u00e9 de Paris-Sud D\u00e9p. de Math\u00e9matique Orsay France."},{"key":"e_1_3_2_2_5_1","volume-title":"Jim Denevan\u2019s Monumental Land Art Debutes in Abu Dhabi. ArchDaily (Nov","author":"Fakharany Nour","year":"2023","unstructured":"Nour Fakharany. 2023. Jim Denevan\u2019s Monumental Land Art Debutes in Abu Dhabi. ArchDaily (Nov. 2023)."},{"key":"e_1_3_2_2_6_1","volume-title":"Proceedings of Bridges. 427\u2013434","author":"Fathauer W","year":"2005","unstructured":"Robert\u00a0W Fathauer. 2005. Fractal tilings based on dissections of polyhexes. In Proceedings of Bridges. 427\u2013434."},{"key":"e_1_3_2_2_7_1","volume-title":"Sur les substitutions rationnelles. Comptes Rendus de l\u2019Acad\u00e9mie des Sciences de Paris 164","author":"Fatou Pierre","year":"1917","unstructured":"Pierre Fatou. 1917. Sur les substitutions rationnelles. Comptes Rendus de l\u2019Acad\u00e9mie des Sciences de Paris 164 (1917), 806\u2013808."},{"key":"e_1_3_2_2_8_1","unstructured":"David Fincher. 1999. Fight Club."},{"key":"e_1_3_2_2_9_1","unstructured":"Carolyn Giardina. 2017. \u2018Guardians of the Galaxy Vol. 2\u2019: A Digital Kurt Russell and Other VFX Tricks Revealed. The Hollywood Reporter (May 2017)."},{"key":"e_1_3_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/74333.74363"},{"key":"e_1_3_2_2_11_1","volume-title":"A brief history of time: from big bang to black holes","author":"Hawking Stephen","unstructured":"Stephen Hawking. 2009. A brief history of time: from big bang to black holes. Random House."},{"key":"e_1_3_2_2_12_1","doi-asserted-by":"crossref","unstructured":"David Hutchins Olun Riley Jesse Erickson Alexey Stomakhin Ralf Habel and Michael Kaschalk. 2015. Big Hero 6: into the portal. In SIGGRAPH Talks. 1\u20131.","DOI":"10.1145\/2775280.2792521"},{"key":"e_1_3_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-97-03706-4"},{"key":"e_1_3_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/566570.566586"},{"key":"e_1_3_2_2_15_1","first-page":"47","article-title":"M\u00e9moire sur l\u2019it\u00e9ration des fonctions rationnelles","volume":"8","author":"Julia Gaston","year":"1918","unstructured":"Gaston Julia. 1918. M\u00e9moire sur l\u2019it\u00e9ration des fonctions rationnelles. J. Math. Pures Appl. 8 (1918), 47\u2013245.","journal-title":"J. Math. Pures Appl."},{"key":"e_1_3_2_2_16_1","volume-title":"Escherization. In Proceedings of SIGGRAPH. 499\u2013510","author":"S.","unstructured":"Craig\u00a0S. Kaplan and David\u00a0H. Salesin. 2000. Escherization. In Proceedings of SIGGRAPH. 499\u2013510."},{"key":"e_1_3_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12705"},{"key":"e_1_3_2_2_18_1","volume-title":"Astronomi och Fysik 1","author":"Koch HV","year":"1904","unstructured":"HV Koch. 1904. Sur une courbe continue sans tangente, obtenue par une construction g\u00e9om\u00e9trique \u00e9l\u00e9mentaire. Arkiv for Matematik, Astronomi och Fysik 1 (1904), 681\u2013704."},{"key":"e_1_3_2_2_19_1","volume-title":"Similarity between the Mandelbrot set and Julia sets. Communications in mathematical physics 134","author":"Lei Tan","year":"1990","unstructured":"Tan Lei. 1990. Similarity between the Mandelbrot set and Julia sets. Communications in mathematical physics 134 (1990), 587\u2013617."},{"key":"e_1_3_2_2_20_1","volume-title":"Generation of escher arts with dual perception","author":"Lin Shih-Syun","year":"2017","unstructured":"Shih-Syun Lin, Charles\u00a0C Morace, Chao-Hung Lin, Li-Fong Hsu, and Tong-Yee Lee. 2017. Generation of escher arts with dual perception. IEEE transactions on visualization and computer graphics 24, 2 (2017), 1103\u20131113."},{"key":"e_1_3_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1090\/tran\/7440"},{"key":"e_1_3_2_2_22_1","doi-asserted-by":"publisher","DOI":"10.1017\/etds.2014.8"},{"key":"e_1_3_2_2_23_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1749-6632.1980.tb29690.x"},{"key":"e_1_3_2_2_24_1","volume-title":"The fractal geometry of nature. Vol.\u00a01","author":"Mandelbrot B","unstructured":"Benoit\u00a0B Mandelbrot. 1982. The fractal geometry of nature. Vol.\u00a01. WH Freeman."},{"key":"e_1_3_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-663-16056-4"},{"key":"e_1_3_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/3592119"},{"key":"e_1_3_2_2_27_1","volume-title":"Creation of Dihedral Escher-like Tilings Based on As-Rigid-As-Possible Deformation. ACM Trans. Graph. (dec","author":"Nagata Yuichi","year":"2023","unstructured":"Yuichi Nagata and Shinji Imahori. 2023. Creation of Dihedral Escher-like Tilings Based on As-Rigid-As-Possible Deformation. ACM Trans. Graph. (dec 2023)."},{"key":"e_1_3_2_2_28_1","doi-asserted-by":"publisher","DOI":"10.1145\/965145.801263"},{"key":"e_1_3_2_2_29_1","doi-asserted-by":"publisher","DOI":"10.1145\/3456298"},{"key":"e_1_3_2_2_30_1","volume-title":"Beautiful math, part 2: aesthetic patterns based on fractal tilings","author":"Ouyang Peichang","year":"2014","unstructured":"Peichang Ouyang and Robert\u00a0W Fathauer. 2014. Beautiful math, part 2: aesthetic patterns based on fractal tilings. IEEE Computer Graphics and applications 34, 1 (2014), 68\u201376."},{"key":"e_1_3_2_2_31_1","volume-title":"Article 18 (nov","author":"Ouyang Peichang","year":"2022","unstructured":"Peichang Ouyang, Krzysztof Gdawiec, Alain Nicolas, David Bailey, and Kwok\u00a0Wai Chung. 2022. Interlocking Spiral Drawings Inspired by M. C. Escher\u2019s Print Whirlpools. ACM Trans. Graph. 42, 2, Article 18 (nov 2022), 17\u00a0pages."},{"key":"e_1_3_2_2_32_1","doi-asserted-by":"publisher","DOI":"10.1145\/325165.325247"},{"key":"e_1_3_2_2_33_1","volume-title":"The algorithmic beauty of plants","author":"Prusinkiewicz Przemyslaw","unstructured":"Przemyslaw Prusinkiewicz and Aristid Lindenmayer. 2012. The algorithmic beauty of plants. Springer Science & Business Media."},{"key":"e_1_3_2_2_34_1","volume-title":"CUDA by example: an introduction to general-purpose GPU programming","author":"Sanders Jason","unstructured":"Jason Sanders and Edward Kandrot. 2010. CUDA by example: an introduction to general-purpose GPU programming. Addison-Wesley Professional."},{"key":"e_1_3_2_2_35_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.14905"},{"key":"e_1_3_2_2_36_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882324"}],"event":{"name":"SIGGRAPH '24: Special Interest Group on Computer Graphics and Interactive Techniques Conference","location":"Denver CO USA","acronym":"SIGGRAPH '24","sponsor":["SIGGRAPH ACM Special Interest Group on Computer Graphics and Interactive Techniques"]},"container-title":["Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers 24"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3641519.3657466","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3641519.3657466","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,22]],"date-time":"2025-08-22T19:16:53Z","timestamp":1755890213000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3641519.3657466"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,13]]},"references-count":36,"alternative-id":["10.1145\/3641519.3657466","10.1145\/3641519"],"URL":"https:\/\/doi.org\/10.1145\/3641519.3657466","relation":{},"subject":[],"published":{"date-parts":[[2024,7,13]]},"assertion":[{"value":"2024-07-13","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}