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1

Britton, Jill. "Escher in the Classroom." Mathematics Teaching in the Middle School 12, no. 8 (2007): 480. http://dx.doi.org/10.5951/mtms.12.8.0480.

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I first read the article “Master of Tessellations: M. C. Escher 1898–1972” in 1974. I was teaching a class titled Recreational Mathematics at a junior college in Montreal at the time, and the article served as a basis of the Escherrelated material that I added to the course content. As the years passed, my knowledge of Escher and involvement with his geometric artwork grew. I spoke about Escher art at NCTM conferences; met Escher's eldest son, George, at a regional NCTM conference in Halifax; developed Escher materials for Dale Seymour publications; and gave a speech titled “Escher in the Clas
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2

EMMER, MICHELE. "ESCHER, COXETER AND SYMMETRY." International Journal of Geometric Methods in Modern Physics 03, no. 05n06 (2006): 869–79. http://dx.doi.org/10.1142/s0219887806001594.

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The Dutch graphic artist Escher was very much interested in plane symmetry. He was fascinated by the problem of infinity and the representation of infinity on a sheet of paper. An exchange of ideas with Coxeter was the origin of the series of works called "Circle Limit". This article also describes the animation technique, which by adding time and movement to the images of Escher try to contribute to Escher's dream of reaching infinity.
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3

Whitaker, Norm. "ESCHER." ACM SIGBED Review 1, no. 3 (2004): 6–7. http://dx.doi.org/10.1145/1279706.1279710.

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4

Carrasco, Marisa, Svetlana M. Katz, and Julia Winter. "Multidimensional Scaling and Experimental Aesthetics: Escher's Prints as a Case Study." Empirical Studies of the Arts 11, no. 1 (1993): 1–23. http://dx.doi.org/10.2190/ev2d-vx3j-61jp-9959.

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This article represents a case-study in the applicability of multidimensional scaling (MDS) to experimental aesthetics. MDS allows experimenters to ask observers to compare stimuli without specifying which criteria they should use. MDS plots data—the similarity judgements—in a “psychological space” whose number of dimensions reflects the number of ways the stimuli are perceived to differ. An experiment attempted to tap into the criteria used by non-specialists when viewing prints by the Dutch artist M. C. Escher, and to study whether or not these criteria correspond to those Escher himself use
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5

Emmer, Michele, Victor Acevedo, Valentina Barucci, et al. "Homage to Escher." Leonardo 33, no. 1 (2000): 3–16. http://dx.doi.org/10.1162/002409400552171.

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6

KOTZOT, DIETER, CHRISTOPH SCHLEGEL, WERNER WICHMANN, and ALBERT SCHINZEL. "Escher-Hirt syndrome." Clinical Dysmorphology 6, no. 4 (1997): 315–21. http://dx.doi.org/10.1097/00019605-199710000-00003.

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7

Latifah, Rania Nurul, and Morinta Rosandini. "PENGOLAHAN MOTIF MENGGUNAKAN TEKNIK ROTATION ESCHER DENGAN INSPIRASI RAGAM HIAS KAIN BATIK MADURA." Jurnal Dimensi Seni Rupa dan Desain 19, no. 2 (2023): 185–96. http://dx.doi.org/10.25105/dim.v19i2.10028.

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Developments in making motifs are very diverse in form and technique; in processing motifs, repetition techniques are needed, one of which is the tessellation repetition technique. Tessellation is creating a two-dimensional plane using geometric elements that are repeated without gaps and overlaps. Dutch graphic artist Maurits Cornelis successfully created tessellation using non-geometric shapes. It has four techniques in its manufacture: translation, reflection, rotation, and glide reflection. Previous studies have carried out the development of the rotation Escher technique with the inspirat
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8

Laages, Michael. "Die Geschichte im Koffer." Theater heute 63, no. 4 (2022): 70–71. http://dx.doi.org/10.5771/0040-5507-2022-4-070.

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9

Wibowo, Hana Kamila, and Morinta Rosandini. "Pengolahan Motif Menggunakan Teknik Rotation Escher dengan Inspirasi Ragam Hias Batik Garutan." Ars 26, no. 1 (2023): 7–18. http://dx.doi.org/10.24821/ars.v26i1.5759.

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Penelitian ini berlatar belakang dari adanya potensi pengolahan modul motif non-geometri dengan komposisi teknik tessellation, khususnya penggunaan teknik rotation Escher. Pada penelitian terdahulu telah melakukan pengolahan teknik rotation Escher dengan inspirasi ragam hias nusantara tenun Sumba, namun hasil eksplorasinya belum optimal. Sehingga dibutuhkan penelitian lebih lanjut dalam menyempurnakan proses pengolahan motif rotation escher. Pada penelitian ini, objek ragam hias yang dijadikan inspirasi adalah batik Garutan. Batik Garutan memiliki unsur penyusunan non-geometri seperti unsur pe
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10

Cabezos Bernal, Pedro M., and Juan J. Cisneros Vivó. "La habitación de Escher." EGA Revista de expresión gráfica arquitectónica 23, no. 32 (2018): 122. http://dx.doi.org/10.4995/ega.2018.9806.

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<p>Este artículo nace como un juego en el que se relacionan arte, geometría, física y matemáticas para desvelar un espacio que permanecía atrapado en forma de reflejo en una de obras más conocidas del fascinante artista neerlandés M. C. Escher, titulada: <em>Mano con esfera reflejante</em>. Esta obra es un autorretrato en el que el artista reproduce su propia mano sujetando un globo especular en el que él mismo se ve reflejado sentado en su estudio de Roma. Gracias a la meticulosidad y a la perfección con la que el artista ejecutaba sus obras ha sido posible restituir este es
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11

Schattschneider, Doris. "The Pólya-Escher Connection." Mathematics Magazine 60, no. 5 (1987): 293. http://dx.doi.org/10.2307/2690411.

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12

Rigby, J. F. "Napoleon, Escher, and Tessellations." Mathematics Magazine 64, no. 4 (1991): 242. http://dx.doi.org/10.2307/2690831.

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13

Dillon, Jacqui, Dirk Corstens, and Olga Runciman. "Sandra Escher – an Obituary." Psychosis 13, no. 3 (2021): 193–94. http://dx.doi.org/10.1080/17522439.2021.1949385.

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14

Kohrs, M., and H. Selder. "Escher Wyss Fractionation Technology." JAPAN TAPPI JOURNAL 47, no. 6 (1993): 741–48. http://dx.doi.org/10.2524/jtappij.47.741.

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15

Cooper, Linda L., Sandy M. Spitzer, and Ming C. Tomayko. "Become an Escher Sleuth." Mathematics Teaching in the Middle School 18, no. 6 (2013): 378–85. http://dx.doi.org/10.5951/mathteacmiddscho.18.6.0378.

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16

Davis, E. "Goedel, Escher, Bach redux." IEEE Expert 11, no. 3 (1996): 3. http://dx.doi.org/10.1109/mex.1996.506744.

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17

Jagannathan, Sampath. "Escher web-based toy." ACM SIGGRAPH Computer Graphics 34, no. 2 (2000): 53–54. http://dx.doi.org/10.1145/351440.351578.

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18

Guerten, Alexander. "KUHKUBUS-3D-Escher-tessellations." Journal of Mathematics and the Arts 14, no. 1-2 (2020): 69–71. http://dx.doi.org/10.1080/17513472.2020.1734519.

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19

Schattschneider, Doris. "The Pólya-Escher Connection." Mathematics Magazine 60, no. 5 (1987): 293–98. http://dx.doi.org/10.1080/0025570x.1987.11977327.

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20

Rigby, J. F. "Napoleon, Escher, and Tessellations." Mathematics Magazine 64, no. 4 (1991): 242–46. http://dx.doi.org/10.1080/0025570x.1991.11977614.

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21

Barriuso, A. G., J. J. Monzón, L. L. Sánchez-Soto, and A. F. Costa. "Escher-like quasiperiodic heterostructures." Journal of Physics A: Mathematical and Theoretical 42, no. 19 (2009): 192002. http://dx.doi.org/10.1088/1751-8113/42/19/192002.

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22

Marmor, Michael F., and Willem A. Wagenaar. "Escher and the Ophthalmologist." Survey of Ophthalmology 48, no. 3 (2003): 356–61. http://dx.doi.org/10.1016/s0039-6257(03)00027-4.

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23

Liu, Xiaokang, Lin Lu, Andrei Sharf, Xin Yan, Dani Lischinski, and Changhe Tu. "Fabricable dihedral Escher tessellations." Computer-Aided Design 127 (October 2020): 102853. http://dx.doi.org/10.1016/j.cad.2020.102853.

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24

Kallosh, Renata, and Andrei Linde. "Escher in the Sky." Comptes Rendus Physique 16, no. 10 (2015): 914–27. http://dx.doi.org/10.1016/j.crhy.2015.07.004.

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25

Yam, Philip. "Escher for the Ear." Scientific American 274, no. 3 (1996): 14. http://dx.doi.org/10.1038/scientificamerican0396-14.

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26

Liu, Xiaokang, Lin Lu, Lingxin Cao, Oliver Deussen, and Changhe Tu. "Auxetic dihedral Escher tessellations." Graphical Models 133 (June 2024): 101215. http://dx.doi.org/10.1016/j.gmod.2024.101215.

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27

Ouyang, Peichang, Kwok Wai Chung, Alain Nicolas, and Krzysztof Gdawiec. "Self-Similar Fractal Drawings Inspired by M. C. Escher’s Print Square Limit." ACM Transactions on Graphics 40, no. 3 (2021): 1–34. http://dx.doi.org/10.1145/3456298.

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A fractal tiling ( f -tiling) is a kind of rarely explored tiling by similar polygonal tiles which possesses self-similarity and the boundary of which is a fractal. Based on a tiling by similar isosceles right triangles, Dutch graphic artist M. C. Escher created an ingenious print Square Limit in which fish are uniformly reduced in size as they approach the boundaries of the tiling. In this article, we present four families of f -tilings and propose an easy-to-implement method to achieve similar Escher-like drawings. By systematically investigating the local star-shaped structure of f -tilings
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28

Malina, Roger F., and H. S. M. Coxeter. "M.C. Escher: Art and Science." Leonardo 20, no. 3 (1987): 291. http://dx.doi.org/10.2307/1578186.

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29

Lapidot, Ema. "Borges y Escher: artistas contemporáneos." Revista Iberoamericana 57, no. 155 (1991): 607–15. http://dx.doi.org/10.5195/reviberoamer.1991.4919.

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30

J. TAPPI Editorial Committee. "Interview with Sulzer Escher Wyss." JAPAN TAPPI JOURNAL 40, no. 3 (1986): 262–73. http://dx.doi.org/10.2524/jtappij.40.262.

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31

Schattschneider, D. "M.C. Escher and the crystallographers." Acta Crystallographica Section A Foundations of Crystallography 61, a1 (2005): c43. http://dx.doi.org/10.1107/s0108767305098193.

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32

Naimi, Ramin, Andrei Pavelescu, and Elena Pavelescu. "Escher squares and lattice links." Topology and its Applications 256 (April 2019): 69–72. http://dx.doi.org/10.1016/j.topol.2019.01.017.

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33

VERKERK, M. J. "GÖDEL, ESCHER, BACH & DOOYEWEERD." Philosophia Reformata 54, no. 2 (1989): 111–46. http://dx.doi.org/10.1163/22116117-90001516.

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34

Thiriez, H. "M.C. Escher: Art and science." European Journal of Operational Research 46, no. 2 (1990): 267. http://dx.doi.org/10.1016/0377-2217(90)90142-x.

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35

Nielsen, T. F. D., and J. C. Escher. "Reconnaissance investigations in the Skjoldungen region, South-East Greenland." Rapport Grønlands Geologiske Undersøgelse 140 (December 31, 1988): 72–76. http://dx.doi.org/10.34194/rapggu.v140.8040.

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From 1 July to 25 August 1987 a GGU expedition made reconnaissance investigations between 62°N and 64°20'N in South-East Greenland. The programme was a continuation of the investigations in the Ammassalikl Angmagssalik distriet in 1986 (Kalsbeek & Nielsen, 1987) and the completion of the fieldwork describing areas in East Greenland between 62°30'N and 65°45'N for the planned map sheet (no. 14) in the 1:500 000 geological map series. The Skjoldungen district was known mainly from previous boat-supported work in the coastal areas as described by Bridgwater & Gormsen, 1969; Andrews et al.
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36

Kwag, Hyungyu. "An analysis of works of Ligeti that reflects Escher’s metamorphosis pattern." Korean Society of Music Education Technology 30 (January 16, 2017): 183–200. http://dx.doi.org/10.30832/jems.2017.30.183.

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Art, which was once dichotomized into space and time by G.E. Lessing (1729~1781), has expanded its temporal and spatial concept of 4D. As a result, it cannot be regulated to any specific area. Artistic works have expanded their area by means of temporal space or spatial time. For example, Escher attempted to express visualized time on the engraving, a spatial art. And, Ligeti attempted to express visualized space to temporal art, which is music art. Works of Escher and Ligeti have a common feature, which is co-existence of time and space in their work. In addition, they had structurally simila
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37

Vikas, Dewangan1 Nikita Sinha1 Tajuddeen Khan1 Chirag Jain 1. Yogesh Kumar Dewangan2 Bhumika Chandrakar*3. "The Science Behind Burn Injuries And Their Treatment." International Journal in Pharmaceutical Sciences 2, no. 4 (2024): 417–26. https://doi.org/10.5281/zenodo.10937888.

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Burn specialists have always been in charge of managing burn injuries. Both local and systemic treatments have been recommended for treating burn wounds and preventing burn scarring since ancient times. The treatment of burn injuries caused by various physical and chemical agents necessitates unique protocols that differ greatly from those employed for other types of traumatizing injuries. Whereas whole blood loss causes shock in other acute wounds, extensive burns cause shock due to increased capillary permeability and extensive plasma loss. Despite the fact that burn wounds are initially mor
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38

Dixon, Robert, and H. S. M. Coxeter. "M. C. Escher: Art and Science." Leonardo 21, no. 1 (1988): 91. http://dx.doi.org/10.2307/1578425.

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39

Gagnebin, Murielle. "Escher ou la fascination sans fond." Revue française de psychanalyse 56, no. 1 (1992): 255. http://dx.doi.org/10.3917/rfp.g1992.56n1.0255.

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40

Hermanus Kubbinga, Henricus. "Substance et plan : Beeckman et Escher." Ligeia N°9-10, no. 4 (1991): 23. http://dx.doi.org/10.3917/lige.009.0023.

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41

Baetens, Jan, and Caren Litherland. "Latent Violence (Escher, Franc, Vaughn-James)." Yale French Studies, no. 84 (1994): 222. http://dx.doi.org/10.2307/2930188.

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42

Hollist, J. Taylor. "Escher Correspondence in the Roosevelt Collection." Leonardo 24, no. 3 (1991): 329. http://dx.doi.org/10.2307/1575577.

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43

Miyagawa, Kunio. "Hitachi Zosen-Escher Wyss deinking system." JAPAN TAPPI JOURNAL 41, no. 4 (1987): 323–33. http://dx.doi.org/10.2524/jtappij.41.323.

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44

Barker, Sean. "Demythologising Mathematics: Gödel, Escher, Bach Revisited." New Blackfriars 66, no. 778 (1985): 188–96. http://dx.doi.org/10.1111/j.1741-2005.1985.tb02700.x.

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45

Gelbrich, G., and K. Giesche. "Fractal escher salamanders and other animals." Mathematical Intelligencer 20, no. 2 (1998): 31–35. http://dx.doi.org/10.1007/bf03025295.

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46

Sztipanovits, Janos, John Bay, Larry Rohrbough, et al. "Escher: A New Technology Transitioning Model." Computer 40, no. 3 (2007): 90–92. http://dx.doi.org/10.1109/mc.2007.89.

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47

Ouyang, Pei-Chang, Kwok-Wai Chung, Robert W. Fathauer, et al. "Generation of Escher-Like Rosette Drawings." Journal of Computer Science and Technology 39, no. 6 (2024): 1466–79. https://doi.org/10.1007/s11390-024-2874-5.

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48

Oliveira, Andréia Machado, and Tania Mara Galli Fonseca. "Conversas entre Escher e Deleuze: tecendo percursos para se pensar a subjetivação." Psicologia & Sociedade 18, no. 3 (2006): 34–38. http://dx.doi.org/10.1590/s0102-71822006000300005.

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Este texto busca visualizar configurações espaciais e temporais que subvertam estruturas lineares e dicotômicas através de formas de ocupação do espaço construídas na multiplicidade. Tal visualização incidirá a partir das obras do artista plástico Murits Escher (1898-1972) com aproximações de alguns conceitos trabalhados por Gilles Deleuze (1925-1995). Considera-se que o encontro desses referenciais provindos da Arte e da Filosofia contribuem para a tessitura de percursos para a problematização de outros modos de subjetivação. A obra de Escher é um questionar sobre a realidade através dos seus
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49

Coltelli, Primo, Laura Barsanti, and Paolo Gualtieri. "Unveiling the Secrets of Escher’s Lithographs." Journal of Imaging 6, no. 2 (2020): 5. http://dx.doi.org/10.3390/jimaging6020005.

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An impossible structure gives us the impression of looking at a three-dimensional object, even though this object cannot exist, since it possesses parts that are spatially non-connectable, and are characterized by misleading geometrical properties not instantly evident. Therefore, impossible artworks appeal to our intellect and challenge our perceptive capacities. We analyzed lithographs containing impossible structures (e.g., the Necker cube), created by the famous Dutch painter Maurits Cornelis Escher (1898–1972), and used one of them (The Belvedere, 1958) to unveil the artist’s hidden secre
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50

Akpanya, Reymond, Tom Goertzen, and Alice C. Niemeyer. "From Tilings of Orientable Surfaces to Topological Interlocking Assemblies." Applied Sciences 14, no. 16 (2024): 7276. http://dx.doi.org/10.3390/app14167276.

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A topological interlocking assembly (TIA) is an assembly of blocks together with a non-empty subset of blocks called the frame such that every non-empty set of blocks is kinematically constrained and can therefore not be removed from the assembly without causing intersections between blocks of the assembly. TIA provides a wide range of real-world applications, from modular construction in architectural design to potential solutions for sound insulation. Various methods to construct TIA have been proposed in the literature. In this paper, the approach of constructing TIA by applying the Escher
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