Construction and geometric analysis of an icosidodecahedron through rectification of an icosahedron: an omnidirectional sound source

Authors

DOI:

https://doi.org/10.46421/encacelacac.v18i1.7267

Keywords:

Icosidodecahedron, Acoustics, Computer code, Matlab, Omnidirectional sound source

Abstract

This study proposes the construction and geometric analysis of an icosidodecahedron through the rectification of an icosahedron, aiming to develop an omnidirectional sound source for acoustic applications. The methodology employs a computational model implemented in Matlab, enabling the generation of the solid, the calculation of its geometric parameters, and three-dimensional visualization. The main results include the development of a scalable model suitable for different specifications and the determination of quantities such as area, diameter, and the inradius of the pentagonal faces. The study’s contribution lies in the integration of geometric modeling and applied acoustics, facilitating the construction of a sound source that can be used in both experimental measurements and numerical simulations. The result is the tool, i.e., the computer code that generates the icosidodecahedron.

Author Biographies

William D'andrea Fonseca, Universidade Federal de Santa Maria

He holds a bachelor’s degree in Electrical Engineering from the Federal University of Santa Catarina (UFSC, 2006) and in Acoustical Engineering (UFSM, 2019) from the Federal University of Santa Maria, as well as a master’s degree in Acoustics and Vibrations (2009) completed at the Laboratory of Vibrations and Acoustics (LVA) of UFSC, specializing in acoustic imaging and instrumentation. He completed his doctorate (2013), also in Acoustics and Vibrations, with his research focused on Advanced Beamforming Techniques. He has also worked as a Guest Researcher at the Institute of Acoustics in Aachen (ITA), Germany, and at the Netherlands Aerospace Center (NLR). He has experience in Electrical Engineering and Acoustic Engineering, especially in signal processing, instrumentation, and electroacoustics. Additionally, he has knowledge in Audio Design and Engineering. He has participated in the Silent Aircraft (FAPESP/Embraer), Auralization Box (CAPES/DAAD), and SONIC II (Embraer/UFSM) projects, and he is a voluntary contributor for International Noise Awareness Day (INAD Brazil) and for the Ibero-American Acoustics Federation (FIA). He is currently a tenured professor at the Federal University of Santa Maria in the Acoustic Engineering program, where he teaches subjects in acoustics and signal processing. In addition, he is also a professor in the Postgraduate Program in Architecture, Urbanism, and Landscape (PPGAUP/UFSM). He serves as a board member of the Brazilian Acoustical Society (Sobrac) and is the editor-in-chief of the Journal of Acoustics and Vibrations.

Lucas Bogaz, Universidade Federal de Santa Maria

Graduando de Engenharia Acústica da UFSM.

Felipe Ramos de Mello, Universidade Federal de Santa Maria

Graduado em Engenharia Acústica pela UFSM, aluno de mestrado e professor substituto na UFSM.

Ricardo Silveira, Universidade Federal de Santa Maria

Graduado em Engenharia Acústica pela UFSM, mestrando e professor temporário da UFSM.

Eric Brandão, Universidade Federal de Santa Maria

Professor permanente da Engenharia Acústica da UFSM.

Paulo Henrique Mareze, Universidade Federal de Santa Maria

Professor permanente da Engenharia Acústica da UFSM.

References

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Published

2025-08-16

How to Cite

FONSECA, William D'andrea; BOGAZ, Lucas; MELLO, Felipe Ramos de; SILVEIRA, Ricardo; BRANDÃO, Eric; MAREZE, Paulo Henrique. Construction and geometric analysis of an icosidodecahedron through rectification of an icosahedron: an omnidirectional sound source. In: ENCONTRO NACIONAL DE CONFORTO NO AMBIENTE CONSTRUÍDO, 18., 2025. Anais [...]. [S. l.], 2025. DOI: 10.46421/encacelacac.v18i1.7267. Disponível em: https://eventos.antac.org.br/index.php/encac/article/view/7267. Acesso em: 3 may. 2026.

Issue

Vol. 18 (2025): ENCAC/ELACAC

Section

1. Acústica Arquitetônica e Urbana

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