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Building a metamaterial slab with gosper curve.

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Title: Building a metamaterial slab with gosper curve.
Authors: Gulia, Preeti1 (AUTHOR) preetigulia19@gmail.com, Dogra, Sourabh2 (AUTHOR), Gupta, Arpan3 (AUTHOR), Boddepalli, Uday4 (AUTHOR), Srinivas, Dodda5 (AUTHOR), Panda, Biranchi6 (AUTHOR), Ranjani Gandhi, Indu Siva4 (AUTHOR)
Source: Building Acoustics. Dec2025, Vol. 32 Issue 4, p501-515. 15p.
Subjects: Sound-wave attenuation, Noise barriers, Three-dimensional printing, Finite element method, Fractals, Metamaterials, Soundproofing, Architectural firms
Abstract: This research is aimed to quantify the extent of sound attenuation achievable through a slab formed by the Gosper structure. A metamaterial slab is designed using Gosper curve which are space coiling structures. The work also explores its potential applicability in creating quieter indoor environments, particularly in the context of creating acoustic barriers by stacking the slabs or making longer structures. The work proposes Peano-Gosper curve (PG), a space-filling and self-avoiding fractal that forms a hexagonal tiling pattern. These patterns were fabricated using concrete 3D printing techniques and evaluated for their sound attenuation. To investigate the sound attenuation capabilities of the Gosper structure, both experimental and numerical methods were employed. A harmonic excitation was applied as input to the structure, and sound transmission loss (STL) was calculated as a function of frequency. The experimental setup involved constructing a prototype slab of the Gosper structure created using additive manufacturing and subjecting it to controlled acoustic testing. Numerical simulations were carried out using finite element analysis, employing suitable material and boundary conditions to replicate real-world scenarios. The results obtained from the experimental and numerical analyses demonstrated a robust sound insulation capability by the single slab Gosper structure (28 dB). The findings suggest that the Gosper structure has the potential to serve as an effective multi-directional acoustic barrier in various architectural applications. [ABSTRACT FROM AUTHOR]
Copyright of Building Acoustics is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Building a metamaterial slab with gosper curve.
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  Data: <searchLink fieldCode="AR" term="%22Gulia%2C+Preeti%22">Gulia, Preeti</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> preetigulia19@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Dogra%2C+Sourabh%22">Dogra, Sourabh</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gupta%2C+Arpan%22">Gupta, Arpan</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Boddepalli%2C+Uday%22">Boddepalli, Uday</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Srinivas%2C+Dodda%22">Srinivas, Dodda</searchLink><relatesTo>5</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Panda%2C+Biranchi%22">Panda, Biranchi</searchLink><relatesTo>6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ranjani+Gandhi%2C+Indu+Siva%22">Ranjani Gandhi, Indu Siva</searchLink><relatesTo>4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Building+Acoustics%22">Building Acoustics</searchLink>. Dec2025, Vol. 32 Issue 4, p501-515. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Sound-wave+attenuation%22">Sound-wave attenuation</searchLink><br /><searchLink fieldCode="DE" term="%22Noise+barriers%22">Noise barriers</searchLink><br /><searchLink fieldCode="DE" term="%22Three-dimensional+printing%22">Three-dimensional printing</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Fractals%22">Fractals</searchLink><br /><searchLink fieldCode="DE" term="%22Metamaterials%22">Metamaterials</searchLink><br /><searchLink fieldCode="DE" term="%22Soundproofing%22">Soundproofing</searchLink><br /><searchLink fieldCode="DE" term="%22Architectural+firms%22">Architectural firms</searchLink>
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  Label: Abstract
  Group: Ab
  Data: This research is aimed to quantify the extent of sound attenuation achievable through a slab formed by the Gosper structure. A metamaterial slab is designed using Gosper curve which are space coiling structures. The work also explores its potential applicability in creating quieter indoor environments, particularly in the context of creating acoustic barriers by stacking the slabs or making longer structures. The work proposes Peano-Gosper curve (PG), a space-filling and self-avoiding fractal that forms a hexagonal tiling pattern. These patterns were fabricated using concrete 3D printing techniques and evaluated for their sound attenuation. To investigate the sound attenuation capabilities of the Gosper structure, both experimental and numerical methods were employed. A harmonic excitation was applied as input to the structure, and sound transmission loss (STL) was calculated as a function of frequency. The experimental setup involved constructing a prototype slab of the Gosper structure created using additive manufacturing and subjecting it to controlled acoustic testing. Numerical simulations were carried out using finite element analysis, employing suitable material and boundary conditions to replicate real-world scenarios. The results obtained from the experimental and numerical analyses demonstrated a robust sound insulation capability by the single slab Gosper structure (28 dB). The findings suggest that the Gosper structure has the potential to serve as an effective multi-directional acoustic barrier in various architectural applications. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Building Acoustics is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1177/1351010X251364495
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 501
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      – SubjectFull: Sound-wave attenuation
        Type: general
      – SubjectFull: Noise barriers
        Type: general
      – SubjectFull: Three-dimensional printing
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Fractals
        Type: general
      – SubjectFull: Metamaterials
        Type: general
      – SubjectFull: Soundproofing
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      – SubjectFull: Architectural firms
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      – TitleFull: Building a metamaterial slab with gosper curve.
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            NameFull: Gulia, Preeti
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            NameFull: Dogra, Sourabh
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            NameFull: Gupta, Arpan
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            NameFull: Boddepalli, Uday
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            – D: 01
              M: 12
              Text: Dec2025
              Type: published
              Y: 2025
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            – TitleFull: Building Acoustics
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