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I am a researcher in the History of Science with a specialised focus on the history of geometry, particularly the production, visualisation, and transmission of solid geometry in the early modern period. My research investigates how geometric knowledge emerged through the interaction of texts, images, material artefacts, and construction practices, with particular attention to polyhedra and their role in mathematical, artistic, and architectural theory. I hold a PhD in Science and Technology Education Research (2020), approved with distinction, and a degree in Fine Arts. My interdisciplinary background underpins a methodological approach that integrates historiographical analysis, geometric reasoning, and digitally assisted reconstruction. I have written sole-authored articles in leading international journals, including the Archive for the History of Exact Sciences, and regularly present my work at major international conferences. I am an integrated researcher at the Centre for Studies Nuno Portas (CENP), Faculdade de Arquitectura da Universidade do Porto, and a member of international editorial boards and scientific committees. Alongside my research, I have extensive experience in teaching, academic service, and public engagement, including conference organisation, editorial work, and the coordination of research infrastructure. My work contributes to advancing interdisciplinary approaches in the history of science and to strengthening international research networks linking mathematics, art, and architecture.
Identification

Personal identification

Full name
VERA LÚCIA VIANA LOPES

Citation names

  • Vera Viana
  • Viana, Vera

Author identifiers

Ciência ID
5913-8A35-2037
ORCID iD
0000-0003-3589-8853
Researcher Id
AAI-9471-2020

Email addresses

  • vlopes@arq.up.pt (Professional)
  • veraviana@veraviana.net (Personal)

Addresses

  • Universidade do Porto, Faculdade de Arquitectura, Centro de Estudos Nuno Portas. R. do Gólgota, 215, 4150-755, Porto, Porto, Portugal (Professional)

Websites

Knowledge fields

  • Humanities - Philosophy, Ethics and Religion - History and Philosophy of Science and Technology
  • Exact Sciences - Mathematics
  • Exact Sciences - Mathematics - Applied Mathematics
  • Exact Sciences - Computer and Information Sciences
  • Social Sciences - Educational Sciences

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
German Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1)
French Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1) Elementary (A2)
Spanish; Castilian Intermediate (B1) Intermediate (B1) Elementary (A2) Intermediate (B1) Elementary (A2)
Education
Degree Classification
2025/10/28 - 2026/06/18
Concluded
German (A2) (Others)
Universidade do Porto Faculdade de Letras, Portugal
18,0
2024/01/15 - 2024/03/01
Concluded
German (A1) (Others)
Universidade do Porto Faculdade de Letras, Portugal
19,0
2013/09/09 - 2020/07/07
Concluded
Didáctica de Ciências e Tecnologia (Science and Technology Education Research) (Doctorate)
Major in Didatica de Ciências Matemáticas
Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
"APLICAÇÕES DIDÁCTICAS SOBRE POLIEDROS PARA O ENSINO DA GEOMETRIA (DIDACTIC APPLICATIONS ON POLYHEDRA FOR THE TEACHING OF GEOMETRY)" (THESIS/DISSERTATION)
Muito Bom | Very Good
1989 - 2000
Concluded
Artes Plásticas - Pintura (Licenciate Degree)
Universidade do Porto, Portugal
14
Affiliation

Other Careers

Category
Host institution
Employer
1993/09/01 - 2011/08/31 Primary and Secondary School Teacher (Primary and Secondary School Teacher) Ministério da Educação, Portugal
Ministério da Educação, Portugal

Positions / Appointments

Category
Host institution
Employer
2009/01/09 - Current President Aproged (Associação dos Professores de Geometria e de Desenho), Portugal
Ministério da Educação, Portugal

Others

Category
Host institution
Employer
2020/11/08 - Current Integrated member Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
(...)
2018/01/08 - 2020/11/07 Researcher Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Projects

Contract

Designation Funders
2026/08/03 - 2026/08/07 Support for the participation in the ICGG 2026 Conference (paper presentation)
UID/00145/2025
Researcher
Universidade do Porto Centro de Estudos Nuno Portas, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2025/09/19 - 2025/09/27 Research mission to Vienna to develop archival and material analysis for an independent project on early modern solid geometry.
200021050 - UIDP/00145/2025
Principal investigator
Fundação para a Ciência e a Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2025/06/03 - 2025/06/06 Support for the participation in the Nexus 2025 Conference (paper presentation)
UIDB/00145/2025.2
Researcher
Fundação para a Ciência e a Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2025/04/06 - 2025/04/19 Research mission to Nuremberg to develop archival and material analysis for an independent project on early modern solid geometry.
UIDB/00145/2025.1
Principal investigator
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal

Fundação para a Ciência e a Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2024/11/14 - 2024/11/30 Research mission to Vienna to develop archival and material analysis for an independent project on early modern solid geometry.
UIDB/00145/2020.6
Principal investigator
Fundação para a Ciência e a Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2024/09/01 - 2024/09/08 Support for the participation in the 24th Scientific-Professional Colloquium on Geometry and Graphics (plenary lecture)
UIDB/00145/2020.5
Researcher
Fundação para a Ciência e a Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2024/07/07 - 2024/07/14 Research mission to Vienna to develop archival and material analysis for an independent project on early modern solid geometry.
UIDB/00145/2020.4
Principal investigator
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2023 - 2024 Support for the publication of an essay in the Archive for History of Exact Sciences
UIDB/00145/2020.3
Researcher
Fundação para a Ciência e a Tecnologia
Concluded
2023/07/26 - 2023/07/31 Support for the participation in the Bridges Halifax 2023 Conference (paper presentation)
UIDB/00145/2020.2
Researcher
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2023/06/12 - 2023/06/15 Support for the participation in the Nexus 2023 Conference (Conference Coordination Comittee)
PAD 22979/2023.1
Conference Coordination Comittee member
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2021/08/23 - 2021/08/27 Support for the participation in IASS: Annual Symposium and Spatial Structures Conference (paper presentation)
UIDB/00145/2020.0
Researcher
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2021/06/26 - 2021/06/29 Support for the participation in the Nexus 2021 Conference (paper presentation)
UIDB/00145/2020.1
Researcher
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/11/25 - 2019/11/30 Support for the participation in the Symmetry Art and Science: 11th Congress and Exhibition (paper presentation)
UID/AUR/00145/2019
Researcher
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2018/08/03 - 2018/08/08 Support for the participation in the Conference ICGG18 (paper presentation)
POCI-01-0145-FEDER-00-7744
Researcher
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2018/06/11 - 2018/06/14 Support for the participation in the Conference Nexus 2018 (poster presentation)
POCI-01-0145-FEDER-007744
Researcher
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Viana, Vera. Preface of Polyhedra and Beyond. Cham, Germany: Birkhäuser Cham. 2022.
    Published
  2. Viana, Vera. Duas por Três 11: Geometria Descritiva, 11º ano: ensino secundário. Porto, Portugal: Areal Editores. 2014.
    Published
  3. Viana, Vera. Duas por Três 10: Geometria Descritiva, 10º ano: ensino secundário. Portugal: Areal Editores. 2013.
    Published
Book chapter
  1. Viana, Vera. "Non-Uniform Polyhedra Described by Daniele Barbaro". In Daniele Barbaro and the University of Padova, edited by Williams, Kim; Monteleone, Cosimo, 109-137. Cham, Switzerland: Springer Nature Switzerland, 2023.
    Published • 10.1007/978-3-031-29483-9_6
  2. Xavier, João Pedro; Sousa, Jose Pedro; Alexandra Castro; Viana, Vera. "An Introduction to Solid Tessellations with Students of Architecture.". In Polyhedra and Beyond Selected Contributions from Geometrias’19, Porto, Portugal, September 05-07. Switzerland: Springer Nature, 2022.
    Published • 10.1007/978-3-030-99116-6_10
  3. Viana, Vera; Xavier, João Pedro; Aires, Ana Paula; Campos, Helena. Corresponding author: Viana, Vera. "Interactive Expansion of Achiral Polyhedra". 1116-1128. Milão, Italy: Springer International Publishing, 2019.
    Published • 10.1007/978-3-319-95588-9_96
Conference abstract
  1. Vera Viana. "Archimedean solids known in the 15th and 16th centuries". Paper presented in 24th Scientific-Professional Colloquium on Geometry and Graphics Senj, 1–5 September 2024, Senj, 2024.
    Published
  2. Castro, Alexandra; Viana, Vera; Xavier, João Pedro; Sousa, José Pedro. "An Introduction to Solid Tesselations with Students of Architecture". Paper presented in Geometrias'19, Porto, 2019.
    Published
  3. Viana, Vera. "Interactive Expansion of Achiral Polyhedra". Paper presented in 18th International Conference on Geometry and Graphics, Milano, 2018.
    Published
Conference paper
  1. Viana, Vera. "A Closer Look at 16th-Century Representations of the Dodecahedron and Related Polyhedra from the Albertina Museum Collection". Paper presented in 22nd International Conference on Geometry and Graphics, Zagreb, 2026.
    In press
  2. Viana, Vera. "The icosihexahedron described by Luca Pacioli, whose science will be very useful in many aspects, especially for those who put it to good use in architecture". Paper presented in Nexus: Relationships Between Architecture and Mathematics, Vicenza, 2025.
    Published
  3. Viana, Vera. "Materializing Daniele Barbaro's Creativity with 3D Printing". Paper presented in Bridges 2023, Halifax, 2023.
    Published
  4. Viana, Vera. "Spatial structures based on solid tessellations". Paper presented in International Conference on Spatial Structures 2020/21, 7 (University of Surrey, 23/08/2021 - 27/08/2021), Surrey, 2021.
    Published • 10.15126/900337
  5. Viana, Vera. "Towards a systematic approach of topological interlocked assemblies of polyhedra". Paper presented in Nexus 20/21: Relationships Between Architecture and Mathematics, Kaiserslautern, 2021.
    Published
  6. Viana, Vera. "Tessellations within Tessellations". Paper presented in Symmetry: Art and Science – 11th SIS-Symmetry Congress, Kanazawa, 2019.
    Published
  7. Viana, Vera. "Topological Interlocking of Convex Regular Polyhedra.". Paper presented in RCA 2018 Research Culture in Architecture. International Conference on cross-disciplinary collaboration, Kaiserslautern, 2018.
    Published
  8. Viana, Vera. "Architectonic Tessellations as Constructive Modules". Paper presented in Nexus 2018 Architecture and Mathematics, Pisa, 2018.
    Published
  9. Viana, Vera. "Interactive Resources for an Active Descriptive Geometry Learning". Paper presented in 12th International Conference on Technology in Mathematics Teaching ICTMT 12, Faro, 2015.
    Published
Edited book
  1. Viana, Vera; Xavier, João Pedro; Mena-Matos, Helena. Corresponding author: Viana, Vera, ed. Polyhedra and Beyond. Switzerland: Springer International Publishing. 2022.
    Published • 10.1007/978-3-030-99116-6 • Editor
  2. Viana, Vera; Dénes Nagy; Xavier, João Pedro. Corresponding author: Viana, Vera, ed. Symmetry: Art and Science | 12th SIS-Symmetry Congress [Special Issue]. Porto, Portugal. 2022.
    Published • Editor
  3. Viana, Vera; Cabeleira, João, ed. Jornadas Didácticas 2021: Livro de Resumos. Porto, Portugal: Aproged. 2021.
    Published • Editor
  4. Viana, Vera; Murtinho, Vítor; Xavier, João Pedro. Corresponding author: Viana, Vera, ed. Thinking, Drawing, Modelling. Switzerland: Springer International Publishing. 2020.
    Published • 10.1007/978-3-030-46804-0 • Editor
  5. Viana, Vera, ed. Geometrias'19 Book of Abstracts. Porto, Portugal: Aproged. 2019.
    Published • 10.24840/978-989-98926-8-2 • Editor
  6. Cardoso, Vasco; Viana, Vera, ed. Jornadas Didácticas 2018: Livro de Resumos.. Porto, Portugal: Aproged. 2018.
    Published • Editor
  7. Viana, Vera, ed. Geometrias'17: Book of Abstracts. Porto, Portugal: Aproged. 2017.
    Published • Editor
  8. Viana, Vera; González, Filipe; Gilson Braviano, ed. Geometrias & Graphica 2015 Proceedings. Porto, Portugal: Aproged. 2016.
    Published • Editor
  9. Viana, Vera; PAIO, A, ed. Geometrias'14 Proceedings of the XIII Aproged's meeting: New Challenges on practice, researching and teaching geometries and drawing. Porto, Portugal. 2014.
    Published • Editor
Journal article
  1. Viana, Vera. Corresponding author: Viana, Vera. "Luca Pacioli’s Rhombicuboctahedron: Description, Construction, and Architectural Reception". Nexus Network Journal 28 3 (2026): 521-537. https://doi.org/10.1007/s00004-026-00885-9.
    In press • 10.1007/s00004-026-00885-9
  2. Vera Viana. "Archimedean solids in the fifteenth and sixteenth centuries". Archive for History of Exact Sciences 78 6 (2024): 631-715. https://doi.org/10.1007/s00407-024-00331-7.
    Open access • Published • 10.1007/s00407-024-00331-7
  3. Ðuric, Isidora; Obradovic, Ratko; Viana, Vera; Krstanovic, Lidija; Banjac, Bojan; Letic, Jelena; Ralevic, Nebojša. "Algorithm for image-based architectural element recognition". FME Transactions 47 2 (2019): 287-292. http://dx.doi.org/10.5937/fmet1902287d.
    10.5937/fmet1902287d
  4. Viana, Vera. "From Solid to Plane Tessellations, and Back". Nexus Network Journal 20 3 (2018): 741-768. http://dx.doi.org/10.1007/s00004-018-0389-5.
    Published • 10.1007/s00004-018-0389-5
  5. Viana, Vera. "Dynamic Geometry Software and Augmented Reality Samples for High School Descriptive Geometry Teaching". Revista Electrónica de Investigación, Docencia i Creatividad 3 (2014): 46-60. https://drive.google.com/file/d/0B5Sju9aeFZ8AYTJHc3VhVGdDR3M/edit https://dialnet.unirioja.es/servlet/articulo?codigo=6233446.
    Open access • Published
  6. Viana, Vera. "Descriptive geometry learning is no more threatened by dynamic geometry software than stairs by elevators". Indagatio Didactica 5 1 (2013): 85-102. https://doi.org/10.34624/id.v5i1.4306.
    Open access • Published • https://doi.org/10.34624/id.v5i1.4306
  7. Viana, Vera. "Materiais didácticos para o Ensino da Geometria Descritiva no Ensino Secundário.". Boletim da Aproged 27 (2007): https://aproged.net/boletim01a27/#BOL27.
    Published
Journal issue
  1. Cardoso, Vasco; Viana, Vera. "Boletim da Aproged #35". Boletim da Aproged 35 (2021): https://aproged.net/wp-content/uploads/2022/01/boletim-35.pdf.
    Published • Coeditor
  2. Viana, Vera; Murtinho, Vítor; Xavier, João Pedro. "Boletim da Aproged #34". Boletim da Aproged 34 (2018): https://www.aproged.pt/geometrias17/boletim34digital.pdf.
    Published • Coeditor
  3. Viana, Vera. "Boletim da Aproged #33". Boletim da Aproged 33 (2017): https://aproged.net/boletim33/.
    Published • Editor
  4. Viana, Vera. "Boletim da Aproged #32". Boletim da Aproged 32 (2015): https://aproged.net/boletim32/.
    Published • Editor
  5. Viana, Vera. "Boletim da Aproged #31". Boletim da Aproged 31 (2014): https://aproged.net/boletim31/.
    Published • Editor
  6. Viana, Vera. "Boletim da Aproged #30". Boletim da Aproged 30 (2013): https://aproged.net/wp-content/uploads/2021/01/Geometrias13.pdf.
    Published • Editor
  7. Viana, Vera. "Boletim da Aproged #29". Boletim da Aproged 29 (2012): https://aproged.net/wp-content/uploads/2020/12/boletim29protected-1.pdf.
    Published • Editor
  8. Viana, Vera. "Boletim da Aproged #28". Boletim da Aproged 28 (2009): https://aproged.net/wp-content/uploads/2020/11/boletim28protected-1.pdf.
    Published • Editor
Online resource
  1. Vera Viana. Studying Polyhedra with Advanced Digital Tools (video recording). 2022. https://youtu.be/v3hV59UZiPw.
  2. Viana, Vera. Spatial structures based on solid tessellations (video recording). 2021. https://youtu.be/K8n4ecT-E6o.
  3. Viana, Vera. GeoGebra Book: Interactive Geometry Applets. 2014. https://www.geogebra.org/m/cIg8exfg.
  4. Viana, Vera. GeoGebra Book: Curves. 2013. https://www.geogebra.org/m/uV7J5xSm.
  5. Viana, Vera. GeoGebra Book: Descriptive Geometry Applets (step-by-step). 2013. https://www.geogebra.org/m/MNeCNYyn.
  6. Viana, Vera. GeoGebra Book: Plane Geometry (step-by-step). 2013. https://www.geogebra.org/m/XOSo0X1a.
Thesis / Dissertation
  1. "Aplicações Didácticas sobre Poliedros para o Ensino da Geometria". PhD, Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, 2020. https://repositorio.utad.pt/handle/10348/10337.
Website
  1. Viana, Vera. Interactive 3D models of polyhedra. 2021. https://sketchfab.com/veraviana.
  2. Viana, Vera. moving geometry. 2020. https://veraviana.net/.
  3. Viana, Vera. Aproged's second website. 2020. https://aproged.net/.
  4. Viana, Vera. geometria interactiva (currently offline). 2010. https://veraviana.net/emportugues/.
  5. Viana, Vera. Aproged's first website (currently offline). 2008. http://aproged.pt/.
  6. Vera Viana. Blog on Descriptive Geometry educational resources. 2007. https://geometriaveraviana.blogspot.com/.

Other

Other output
  1. Journey Through Time in the Footsteps of a Polyhedron. I provided specialised scholarly input on the discussion and historical interpretation of the octagonal bipyramid described in Lorenzo Sirigatti's La Pratica di Prospettiva, as well as on related geometric and contextual details, which informed the author's analysis. This contribution is formally acknowledged by the author in the acknowledgements and through citations of my prior research (2002). 2025. Katz, Eugene. https://doi.org/10.1007/s00283-025-10425-x.
    10.1007/s00283-025-10425-x
  2. Tabakgasse-poliéder. I provided specialised input on the geometric reconstruction of the base polyhedron underlying the so-called “Tabakgasse polyhedron," which informed the author's analytical interpretation. This contribution is formally acknowledged in the associated publication. 2023. Grego Gergely Foldvari. https://www.facebook.com/gergely.grego.foldvari/posts/pfbid0U56fcLPVUioeJUVQvCQrNLF35d2vNvbuhTgF7tFqFLr8uz2rXt9tBjt54xMk6ukml.
  3. Daniele Barbaro and the Geometric Solids. I provided specialised scholarly input on the geometric reconstruction and historical interpretation of the polyhedra described by Daniele Barbaro, which informed the author’s analysis. This contribution is formally acknowledged in the publication through five footnotes (pp. 8, 17, 18, and 22). 2021. Kim Williams. https://link.springer.com/chapter/10.1007/978-3-030-76687-0_1.
    10.1007/978-3-030-76687-0_1
  4. Geometric and Aesthetic Concepts Based on Pentagonal Structures. I provided specialised scholarly input on the discussion of topologically interlocked assemblies involving the pentagonal dodecahedron and contributed three figures to the chapter. This contribution is formally acknowledged by the author in the acknowledgements, in the figure captions, and through citations of my published research on the subject (2018). 2021. Cornelie Leopold. https://link.springer.com/referenceworkentry/10.1007/978-3-319-70658-0_20-1.
    10.1007/978-3-319-57072-3_20
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2026/08/04 A Closer Look at 16th-Century Representations of the Dodecahedron and Related Polyhedra from the Albertina Museum Collection ICGG 2026: International Conference on Geometry and Graphics
University of Zagreb Faculty of Architecture (Zagreb, Croatia)
2025/06/05 The icosihexahedron described by Luca Pacioli, whose science will be very useful in many aspects, especially for those who put it to good use in architecture Nexus: Relationships Between Architecture and Mathematics
ICEA – Civil, Environmental and Architectural Engineering of the Università degli Studi di Padova and Kim Williams Books (Vicenza, Italy)
2025/05/19 From Cubes and Octahedra, including their derivatives, to the faceting and stellation of polyhedra [Dos Cubos e Octaedros e seus derivados ao facetamento e estrelação de poliedros] Invited lecture, Ensino da Matemática (Master’s programme)
Universidade do Porto, Faculdade de Ciências (Porto, Portugal)
2025/05/02 From Cubes and Octahedra, including their derivatives, to the faceting and stellation of polyhedra [Dos Cubos e Octaedros e seus derivados ao facetamento e estrelação de poliedros] Invited lecture, Desenho (Bachelor’s programme)
Universidade do Porto, Faculdade de Belas Artes (Porto, Portugal)
2024/09/02 Archimedean Solids known in the 15th and 16th centuries Plenary lecture, 24th Scientific-Professional Colloquium on Geometry and Graphics
Croatian Society for Geometry and Graphics (Senj, Croatia)
2023/07/29 Materializing Daniele Barbaro’s Creativity with 3D Printing Bridges 2023: Mathematics, Art, Music, Architecture, Culture
Dalhousie University (Halifax, Canada)
2023/06/12 Opening Session of the Nexus 2023 Conference, as a Conference Coordination Committee member Nexus 2023: Relationships between Architecture and Mathematics
Politecnico di Torino (Torino, Italy)
2022/04/21 Studying Polyhedra with Advanced Digital Tools Invited lecture, Art and Math Seminar, Spring 2022
Kansas State University, Department of Mathematics (Kansas, United States)
2022/04/01 Contribution with a short presentation about Professor Cornelie Leopold's career during the "Farewell symposium and exhibition opening Change of Perspectives" https://geometrie.architektur.uni-kl.de/en/nachrichten/farewell-symposium_change-of-perspectives Farewell Symposium Change of Perspectives
Faculty of Architektur, Technische Universität Kaiserslautern (Kaiserslautern, Germany)
2021/08/25 Spatial structures based on solid tessellations IASS Annual Symposium and Spatial Structures Conference
University of Surrey, England (Surrey, United Kingdom)
2021/07/29 Towards a systematic approach of topological interlocked assemblies of polyhedra Nexus 20/21: Relationships Between Architecture and Mathematics
Faculty of Architektur Technische Universität Kaiserslautern (Kaiserslautern, Germany)
2021/05/18 Tessellating and Interlocking in Patterns Invited lecture, Seminar “Pattern Matters”
Technische Universität Kaiserslautern, Faculty of Architecture (Kaiserslautern, Germany)
2020/12/11 Non-Uniform Polyhedra in Daniele Barbaro's La Pratica della Perspettiva Invited lecture, Daniele Barbaro e lo Studio patavino. Architettura, arte e scienza in occasione dei 400 anni della morte
Universitá di Padova (Padova, Italy)
2019/11/26 Tessellations Within Tessellations Symmetry Art and Science: 11th Congress and Exhibition,
Kanasawa Institute of Technology (Kanasawa, Japan)
2019/07/03 Interactive Descriptive Geometry [Geometria Descritiva Interactiva] Keynote lecture, 2º Workshop – Software Livre de Matemática
Instituto Superior de Engenharia de Coimbra (Coimbra, Portugal)
2018/10/18 Filling space uniformly with convex polyhedra [Preenchimento uniforme do espaço com poliedros convexos] Invited lecture, Interdisciplinary Approaches on Geometry (Master’s programme)
Universidade do Porto, Faculdade de Belas Artes (Porto, Portugal)
2018/09/29 Topological Interlocking of Convex Regular Polyhedra (poster presentation) RCA 2018 Research Culture in Architecture - International Conference on Cross-Disciplinary Collaboration
FATUK - Faculty of Architecture, TU Kaiserslautern. (Kaiserslautern, Germany)
2018/08/06 Interactive Expansion of Achiral Polyhedra ICGG 2018: 18th International Conference on Geometry and Graphics
Politecnico di Milano (Milão, Italy)
2018/06/14 Architectonic Tessellations as Constructive Modules Nexus 2018: Relationships between Architecture and Mathematics
Università di Pisa (Pisa, Italy)
2016/07 Axonometric Representations in Solid Geometry Teaching (poster presentation) Nexus 2016: Relationships between Architecture and Mathematics
Biblioteca Campus de Gipuzkoa Donostia (San Sebastian, Spain)
2015/06 Interactive Resources for an Active Descriptive Geometry Learning. ICTMT 12 - 12th International Conference on Technology in Mathematics Teaching
Faculdade de Ciências e Tecnologia da Universidade do Algarve (Faro, Portugal)
2015/01/20 Digital resources for teaching and learning Descriptive Geometry [Recursos digitais para a Didática e a Aprendizagem da Geometria Descritiva] Projeto TEA - Tablets no Ensino e na Aprendizagem
Fundação Calouste Gulbenkian, Escola Eça de Queirós (Lisbon, Portugal)
2014/07 Dynamic Geometry Software and Augmented Reality Samples for High School Descriptive Geometry Teaching ENTENP 2014 - Conference on Enabling Teachers for Entrepreneurship Education
Universidad de Granada (Granada, Spain)
2014/04/03 Dynamic constructions with GeoGebra [Construções Dinâmicas com o GeoGebra] Invited Workshop, ProfMat 2014 - Braga
Associação de Professores de Matemática (Braga, Portugal)
2013/06 Descriptive Geometry Learning is no more Threatened by Dynamic Geometry Software than Stairs by Elevators III Dia Geogebra em Portugal
Universidade de Aveiro (Aveiro, Portugal)
2013/05 Introduction to Rhinoceros [Introdução ao Rhinoceros] Invited Workshop, Geometrias'13 Conference
Universidade do Porto, Faculdade de Arquitectura; Aproged (Associação dos Professores de Geometria e de Desenho) (Porto, Portugal)
2012/01/28 Building educational interactive resources with C.a.R. Metal and Geogebra [Construção de exercícios interactivos com o C.a.R. Metal e o Geogebra] Invited Workshop, XII Encontro Regional da Aproged
Centro de Formação Gaspard Monge (Vila Real, Portugal)

Event organisation

Event name
Type of event (Role)
Institution / Organization
2026/08/07 - 2026/08/07 ICGG 2026: International Conference on Geometry and Graphics | Chair of the Session GG2: Geometry and Graphics in History (2026/08/02 - 2026/08/07)
Conference (Other)
Sveucilište u Zagrebu Arhitektonski fakultet, Croatia

ISGG: International Society for Geometry and Graphics, Australia
2024/10/01 - 2025/10/19 National teacher-training conference Jornadas Didácticas 2025 (2025/10/18 - 2025/10/19)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Escola Secundária Quinta do Marquês, Portugal
2023/10/21 - 2023/10/22 National teacher-training conference Jornadas Didácticas 2023 (2023/10/21 - 2023/10/22)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Escola Secundária de Francisco Franco, Portugal
2022/01/11 - 2022/07/16 Symmetry: Art and Science | 12th SIS-Symmetry Congress (2022/07/11 - 2022/07/16)
Congress (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

International Society for the Interdisciplinary Study of Symmetry, Hungary

Universidade do Porto Faculdade de Arquitectura, Portugal
2021/10/09 - 2021/10/16 National teacher-training conference Jornadas Didácticas 2021 (2021/10/09 - 2021/10/16)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Universidade do Minho Escola de Arquitetura, Portugal
2021/09/12 - 2021/09/19 Contributing Conference "Symmetry, Structure, and Information" to the IS4SI 2021 Summit (2021/09/12 - 2021/09/19)
Conference (Member of the Organising Committee)
International Society for the Study of Information, Austria

International Society for the Interdisciplinary Study of Symmetry, Hungary
2021/09/12 - 2021/09/19 IS4SI 2021, the 2021 Summit of the International Society for the Study of Information. (2021/09/12 - 2021/09/19)
Congress (Member of the Organising Committee)
International Society for the Study of Information, Austria
2021/08/26 - 2021/08/27 IASS Annual Symposium and Spatial Structures Conference | Chair of the sessions "Morphology and Configuration Processing 1" and "Morphology and Configuration Processing 2" (2021/08/24 - 2021/08/27)
Conference (Other)
University of Surrey, United Kingdom
2021/07/27 - 2021/07/27 Nexus 20/21 Conference | Chair of the session "Mathematics of Natural Forms and Structures" (2021/09/26 - 2021/09/29)
Conference (Other)
Kim Williams Books, Italy

Technische Universität Kaiserslautern Fachbereich Architektur, Germany
2019/09/05 - 2019/09/07 International Conference Geometrias'19 (2019/09/05 - 2019/09/07)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Universidade do Porto Faculdade de Ciências, Portugal
2018/10/05 - 2018/10/06 National teacher-training conference Jornadas Didácticas 2018 (2018/10/05 - 2018/10/06)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Universidade do Porto Faculdade de Belas Artes, Portugal
2017/06/16 - 2017/06/18 International Conference Geometrias'17 (2017/06/16 - 2017/06/18)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Universidade de Coimbra Departamento de Arquitectura, Portugal
2016/11/05 - 2016/11/05 National teacher-training conference Jornadas Didácticas 2016 (2016/11/05 - 2016/11/05)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Escola Secundária de Pedro Nunes, Portugal
2015/10/01 - 2015/10/03 International Conference Geometrias & Graphica 2015 (2015/10/01 - 2015/10/03)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Universidade Lusíada de Lisboa, Portugal
2014/05/17 - 2014/05/18 International Conference Geometrias'14 (2014/05/17 - 2014/05/18)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

ISCTE-Instituto Universitário de Lisboa, Portugal
2013/04/06 - 2013/04/07 International Conference Geometrias'13 (2013/04/06 - 2013/04/07)
Conference (President of the Organising Committee)
Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Universidade do Porto Faculdade de Arquitectura, Portugal

Event participation

Activity description
Type of event
Event name
Institution / Organization
2023/06/27 - 2023/06/27 Workshop on Photogrametry in Architecture
Workshop
Workshop Photo3D Fotogrametria em Arquitetura
Universidade do Porto Faculdade de Arquitectura, Portugal
2023/05/30 - 2023/05/30 Training session "Building capacities for integrating gender the dimension in research at U.Porto" with Dr Maxime Forest
Other
Building capacities for integrating gender the dimension in research at U.Porto
Universidade do Porto Reitoria - Serviço de Investigação e Projectos, Portugal
2021/12/11 - 2021/12/12 Computational Design: NEXT 7.0
Conference
Computational Design: NEXT 7.0
Parametric Architecture, Turkey

Jury of academic degree

Topic
Role
Candidate name (Type of degree)
Institution / Organization
2022/06/08 Geometric Analysis: Configuration of Modular Architectural Forms Based on the Study of Three-Dimensional Tessellations (Análisis Geométrico: Configuración de Formas Arquitetónicas Modulares a partir del Estudio de Teselaciones Tridimensionales)
(Thesis) Arguer
Sandra Belinda Socci Martinez (PhD)
Universidad Nacional Autónoma de México, Mexico

Ad Hoc journal article review

Journal title (ISSN) Publisher
2019/08 - Current Nexus Network Journal (1590-5896 ) Springer Nature
2014/07 - 2022/07 Nexus Network Journal (1522-4600) Springer Nature
2009/01/10 - 2021/12/31 Boletim da Aproged (2184-4933) Aproged (Associação dos Professores de Geometria e de Desenho)

Association member

Society Organization name Role
2025/06/01 - Current NEXUS Relationships between Architecture and Mathematics Individual member
2019/11 - Current SIS-SYMMETRY: International Society for the Interdisciplinary Study of Symmetry Individual member
2018/08/03 - Current ISGG: International Society for Geometry and Graphics Individual member
1999/01 - Current APROGED : Associação dos Professores de Geometria e de Desenho (Portuguese Geometry and Drawing Teachers' Association) President since 2009 (member since 1999)

Committee member

Activity description
Role
Institution / Organization
2020/11/08 - Current Scientific Committee of the Centro de Estudos Nuno Portas (formerly Centro de Estudos de Arquitectura e Urbanismo, CEAU)
Member
Universidade do Porto Centro de Estudos de Arquitectura e Urbanismo, Portugal
2021/11/03 - 2024/12/31 RESET - Redesigning Equality and Scientific Excellence Together
Advisor / Consultant
Universidade do Porto, Portugal
2022/07/12 - 2023/07/15 Conference Coordination Committee Member of the Nexus 2023 Conference
Coordinator
Nexus Network Journal , Italy

Conference scientific committee

Conference name Conference host
2026/08/05 - 2026/08/08 Bridges Galway 2026: Mathematics, Art, Music, Architecture, Culture University of Galway
2026/08/03 - 2026/08/07 ICGG 2026: International Conference on Geometry and Graphics Sveucilište u Zagrebu Arhitektonski fakultet, Croatia
2025/02/01 - 2025/03/01 Bridges Eindhoven 2025: Mathematics, Art, Music, Architecture, Culture Eindhoven University of Technology
2025/01/01 - 2025/02/01 Nexus Conference 2025: Relationships between Architecture and Mathematics ICEA – Civil, Environmental and Architectural Engineering of the Università degli Studi di Padova; Kim Williams Books
2024/08/05 - 2024/08/09 ICGG 2024: International Conference on Geometry and Graphics Kitakyushu International Conference Center. Fukuoka, Japan
2024/08/01 - 2024/08/05 Bridges Richmond 2024: Mathematics, Art, Music, Architecture, Culture Virginia Commonwealth University
2023/07/27 - 2023/07/31 Bridges Halifax 2023: Mathematics·Art ·Music·Architecture·Culture Dalhousie University
2022/12/11 - 2023/07/07 CAAD Futures 2023 TU Delft, Faculty of Architecture & the Built Environment
2022/12 - 2023/07/07 Mongeometrija 2023 Faculty of Technical Sciences, University of Novi Sad
2022/08/15 - 2022/08/19 ICGG 2022: International Conference on Geometry and Graphics Polytechnic School of University of São Paulo
2022/02 - 2022/08 Bridges Aalto 2022: Mathematics, Art, Music, Architecture, Culture Aalto University, Helsinki and Espoo
2022/01 - 2022/07 Symmetry: Art and Science | 12th SIS-Symmetry Congress Faculty of Architecture, University of Porto
2021/09/12 - 2021/09/19 IS4SI 2021 - 2021 Summit of the International Society for the Study of Information International Society for the Study of Information
2021/07/26 - 2021/07/29 Nexus 20/21: Relationships between Architecture and Mathematics Faculty of Architecture, Technische Universität Kaiserslautern
2021/01/18 - 2021/01/22 ICGG 2020: International Conference on Geometry and Graphics Universidade de São Paulo
2019/09/05 - 2019/09/07 Geometrias'19 : Polyhedra and Beyond Faculdade de Ciências da Universidade do Porto, Portugal
2018/08/03 - 2018/08/07 ICGG 2018: International Conference on Geometry and Graphics Politecnico di Milano
2018/06/07 - 2018/06/09 Mongeometrija 2018 Faculty of Technical Sciences, University of Novi Sad
2015/06/24 - 2015/06/27 12th International Conference on Technology in Mathematics Teaching ICTMT 12 Universidade do Algarve

Consulting

Activity description Institution / Organization
2019/11/30 - 2022/07/17 International Advisory Board Member for the International Society for the Interdisciplinary Study of Symmetry International Society for the Interdisciplinary Study of Symmetry, Hungary

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2025/10/18 - 2025/10/19 Jornadas Didácticas 2025 | Accredited teacher training course (Others) Centro de Formação Gaspard Monge, Portugal

Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Escola Secundária Quinta do Marquês, Portugal
2023/10/21 - 2023/10/22 Jornadas Didácticas 2023 | Accredited teacher training course (Others) Escola Secundária de Francisco Franco, Portugal

Centro de Formação Gaspard Monge, Portugal

Aproged (Associação dos Professores de Geometria e de Desenho), Portugal
2021/10/09 - 2021/10/16 Jornadas Didácticas 2021 | Accredited teacher training course (Others) Universidade do Minho Escola de Arquitetura, Portugal

Centro de Formação Gaspard Monge, Portugal

Aproged (Associação dos Professores de Geometria e de Desenho), Portugal
2018/10/05 - 2018/10/05 Jornadas Didácticas 2018 | Accredited teacher training course (Others) Universidade do Porto Faculdade de Belas Artes, Portugal

Centro de Formação Gaspard Monge, Portugal

Aproged (Associação dos Professores de Geometria e de Desenho), Portugal
2017/03/21 - 2017/04/07 Filling space uniformly with Polyhedra [Preenchimento do espaço com poliedros] Geometry and Architecture (Integrated Master's Degree) Universidade do Porto Faculdade de Arquitectura, Portugal
1994/09/01 - 2011/08/31 Geometria Descritiva (High School)
2010/06/06 - 2010/07/18 Producing educational resources to teach geometry with digital tools: C.a.R. Metal Stella and Poly | Accredited teacher training course Produção de Materiais Didácticos para o Ensino da Geometria com o Apoio das T.I.C: C.a.R. Metal, Stella and Poly | Formação contínua de professores (Others) Centro de Formação Gaspard Monge, Portugal

Aproged (Associação dos Professores de Geometria e de Desenho), Portugal
2009/06/06 - 2009/07/18 Producing educational resources to teach geometry with digital tools: C.a.R. Metal Stella and Poly | Accredited teacher training course Produção de Materiais Didácticos para o Ensino da Geometria com o Apoio das T.I.C: C.a.R. Metal, Stella and Poly, Formação contínua de professores (Others) Centro de Formação Gaspard Monge, Portugal

Aproged (Associação dos Professores de Geometria e de Desenho), Portugal

Journal scientific committee

Journal title (ISSN) Publisher
2019/01 - Current Nexus Network Journal (1590-5896 ) Springer Nature
2014/07 - 2022 Nexus Network Journal (1522-4600) Springer Nature
2009/01/01 - 2021/12/31 Boletim da Aproged (2184-4933) Aproged - Associação dos Professores de Geometria e de Desenho

Scientific expedition

Activity description Institution / Organization
2025/09/19 - 2025/09/27 (Third) Research mission to Vienna to develop archival and material analysis for an independent project on early modern solid geometry. Albertina Museum, Austria

Albertina Museum Bibliothek, Austria

Österreichische Nationalbibliothek, Austria
2025/04/06 - 2025/04/19 (First) Research mission to Nuremberg to develop archival and material analysis for an independent project on early modern solid geometry. This funded research mission supported a research programme that I conceived and conducted independently as sole author and investigator. Germanisches Nationalmuseum, Germany

Nürnberg Stadtbibliothek, Germany
2024/11/14 - 2024/11/30 (Second) Research mission to Vienna to develop archival and material analysis for an independent project on early modern solid geometry. Albertina Museum, Austria

Albertina Museum Bibliothek, Austria

Österreichische Nationalbibliothek, Austria
2024/04/07 - 2024/04/14 (First) Research mission to Vienna to develop archival and material analysis for an independent project on early modern solid geometry. This funded research mission supported a research programme that I conceived and conducted independently as sole author and investigator. Albertina Museum, Austria

Albertina Museum Bibliothek, Austria

Österreichische Nationalbibliothek, Austria
Distinctions

Other distinction

2020 PhD approved with distinction (Very Good)
Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal