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Research Article | Open Access

Looking at Okuda's artwork through GeoGebra: A Citizen Science experience

Belén Ariño-Morera1Angélica Benito2Álvaro Nolla2( )Tomás Recio3Emilio Seoane4
Universidad Rey Juan Carlos, Paseo de los Artilleros s/n., 28032, Vicálvaro-Madrid, Spain
Universidad Autónoma de Madrid, Facultad de Formación del Profesorado y Educación. c/ Tomás y Valiente 3. 28049, Madrid
Universidad Antonio Nebrija, C/ Santa Cruz de Marcenado 27, 28015, Madrid, Spain
Instituto GeoGebra de Cantabria/CIEM, Departamento MATESCO. Facultad de Ciencias. Avenida de Los Castros s/n, 39005 Santander
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Abstract

In this paper, we describe an experience to test the predominant presence of Delaunay triangulations in the artwork of Okuda, a quite famous, young, contemporary Spanish artist. We addressed this task involving, as a citizen science activity in a STEAM (Science, Technology, Engineering, Art, Mathematics) education context, several hundreds of students (of different kinds: secondary education, university undergraduates, in particular, following teacher training degrees). Each student was asked to select an Okuda archive and, with the concourse of a dynamic geometry program provided with some computational geometry commands, to measure the ratio of coincident triangles in Delaunay's and artist's triangulations, over an ample region of the chosen artwork. The results show a very large percentage of coincidence ratios. We conclude with some reflections about how to interpret this fact, and about the potential role of future, enhanced, dynamic geometry systems to automatically address similar issues, concerning mathematical properties of figures from the real world.

CLC number: 00A66, 68U05, 97U70

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AIMS Mathematics
Pages 17433-17447

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Cite this article:
Ariño-Morera B, Benito A, Nolla Á, et al. Looking at Okuda's artwork through GeoGebra: A Citizen Science experience. AIMS Mathematics, 2023, 8(8): 17433-17447. https://doi.org/10.3934/math.2023890

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Received: 29 March 2023
Revised: 30 April 2023
Accepted: 11 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)