Vera Viana (1971) is a Researcher in the Centre for Studies of Architecture and Urbanism (CEAU) in the Faculty of Architecture of the University of Porto, Portugal FAUP. Her research focuses on geometry, polyhedral theory, history of polyhedra, structural geometry, the relationships between architecture and mathematics, and mathematics education through advanced digital tools (3D modelling software, parametric modelling software and 3D printing).
Director of Aproged (the Portuguese Geometry and Drawing Teachers’ Association) since 2009, Vera Viana organizes the international conferences Geometrias (since 2013), Jornadas Didácticas (since 2016), Aproged’s National Meetings (2008-2012) and is editor-in-chief of the Geometrias conference books of abstracts and proceedings, as well as Aproged’s Bulletins (2009 to 2021).
Editor of conferences-related books published by Springer Nature (2020 and 2022), the International Society for the Interdisciplinary Study of Symmetry (2022) and Aproged (2009-2021).
In July 2020, Viana concluded her Doctoral Thesis Aplicações Didácticas sobre Poliedros para o Ensino da Geometria | Didactic Applications on Polyhedra for the Teaching of Geometry, in Sciences and Technology Education with a specialization in Mathematical Sciences Education, in the University of Trás-os-Montes and Alto Douro (UTAD).
Editorial Board member of the Nexus Network Journal.
Descriptive Geometry Teacher (1993-2011) and author of schoolbooks (2013 and 2014).
Viana is currently in the job market looking for Academic and/or Research & Development opportunities.
ciência vitae | @ faup | @ orcid | @ researchgate | @ web of science researcher | @ nexus network journal | @ youtube | @ sketchfab
- AS AUTHOR AND CO-AUTHOR
- DOCTORAL THESIS:
- Viana, V. 2020. Aplicações didácticas sobre poliedros para o ensino da geometria / Didactic Applications on Polyhedra for the teaching of Geometry (http://hdl.handle.net/10348/10337) [Tese de Doutoramento, Universidade de Trás-os-Montes e Alto Douro]. Repositório Científico da UTAD.
- BOOK CHAPTERS:
- Castro, A.; Viana, V.; Xavier, J.; Sousa, J. 2022. 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 International Publishing. doi:10.1007/978-3-030-99116-6_10. 137-147.
- Viana, V., Xavier J., Aires A. & Campos H. 2019. Interactive Expansion of Achiral Polyhedra. In Luigi Cocchiarella (Ed.). ICGG 2018 – Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, 809. Springer. 1116-1128.
- Viana, V. 2015. Interactive Resources for an Active Descriptive Geometry Learning. In Nélia Amado & Susana Carreira (Eds.) Proceedings of the 12th International Conference on Technology in Mathematics Teaching ICTMT 12. Universidade do Algarve, Faro, Portugal, 352-360.
- JOURNAL ARTICLES:
- Viana, V. 2019. Tessellations within Tessellations. Dénes Nagy, Ioannis Vandoulakis, Ryuji Takaki, Ritsuko Izuhara, Shozo Ishihara & Yoshinori Teshima (Eds.) Tradition and Innovation in Symmetry. 11th Congress and Exhibition of SIS-Symmetry. 290-293.
- Viana, V. 2018. From Solid to Plane Tessellations, and Back. Kim Williams & Michael Ostwald (Eds.). Nexus Network Journal, 20(3). 741-768.
- Viana, V. 2014. Dynamic geometry software and augmented reality samples for high school descriptive geometry teaching. In Revista Electrónica de Investigación, Docencia y Creatividad, 3. 46-60.
- Viana, V. 2013. Descriptive Geometry Learning is no more threatened by dynamic geometry software than stairs by elevators. Indagatio Didactica, vol. 5(1). 85-102.
- Viana, Vera. 2007. Materiais didácticos para o Ensino da Geometria Descritiva no Ensino Secundário. Boletim da Aproged, 27. Porto, Portugal: Aproged.
- CONFERENCE PAPERS:
- Viana (2022). Spatial structures based on solid tessellations. In Seyed Alireza Behnejad, Gar Parke, Omidali Samavati (Eds.) Inspiring the Next Generation – Proceedings of the International Conference on Spatial Structures 2020/21 (IASS2020/21-Surrey7). Surrey: Spatial Structures Research Centre of the University of Surrey. 2159-2170.
- Viana, V. 2021. Towards a systematic approach of topological interlocked assemblies of polyhedra. In Kim Williams & Cornelie Leopold (Eds.) Nexus 20/21 Architecture and Mathematics Conference Book. Turin: Kim Williams Books. 295-300.
- Viana, V. 2018. Topological Interlocking of Convex Regular Polyhedra. In Cornelie Leopold, Christopher Robeller e Ulrike Weber (Eds.). RCA 2018 Research Culture in Architecture. International Conference on cross-disciplinary collaboration. Kaiserslautern: FATUK. 254-257.
- Viana, V. 2018. Architectonic Tessellations as Constructive Modules. In Kim Williams & Marco Bevilacqua (Eds.) Nexus 2018 Architecture and Mathematics Conference Book. Turin: Kim Williams Books. 325-328.
- WORKSHOPS, SEMINARS (selection):
- Seminar @ Kansas State University, United States of America: Studying Polyhedra with Advanced Digital Tools Included in the Art and Math Seminar Spring, organized by the Department of Mathematics at Kansas State University | April 2022
- Workshop @ FATUK, Germany: Tessellating and Interlocking in Patterns included in the Summer Semester “Pattern Matters” in the Faculty of Architektur Technische Universität Kaiserslautern | May 2021
- Invited lecture @ Faculty of Fine Arts, University of Porto, Portugal: Tesselações Uniformes com Poliedros Convexos, a lecture on convex polyhedra that fill space uniformly relevant to the syllabus “Interdisciplinary Discourses on Geometry”.
- Invited lectures @ Faculty of Architecture, University of Porto, Portugal: 6 lectures in the syllabus “Geometry and Architecture”, on subjects related to polyhedral theory and uniform solid tessellations to ca. 160 undergraduate students.
- WEBSITES:
- Viana, V. 2021. interactive 3D models of polyhedra
- Viana, V. 2020. geometry addiction
- Viana, V. 2020. Aproged’s [second] website
- Viana, V. 2010. geometria interactiva
- Viana, V. 2008. Aproged’s [first] website
- Viana, V. 2007. Blog sobre Geometria e Geometria Descritiva
- ONLINE RESOURCES:
- Viana, V. 2020. YouTube Channel.
- Viana, V. 2014. GeoGebra Book: Interactive Geometry Applets.
- Viana, V. 2013. GeoGebra Book: Curves
- Viana, V. 2013. GeoGebra Book: Descriptive Geometry Applets (step-by-step)
- Viana, V. 2013. GeoGebra Book: Plane Geometry (step-by-step)
- SCHOOLBOOKS:
- Viana, V. 2014. Duas por Três 11: Geometria Descritiva, 11º ano: ensino secundário. Porto: Areal Editores.
- Viana, V. 2013. Duas por Três 10: Geometria Descritiva, 10º ano: ensino secundário. Porto: Areal Editores.
- ORAL PRESENTATIONS:
- Spatial structures based on solid tessellations (paper with oral presentation) IASS Annual Symposium and Spatial Structures Conference | August 2021, University of Surrey, England.
- Towards a systematic approach of topological interlocked assemblies of polyhedra (poster with oral presentation) Nexus 20/21: Relationships Between Architecture and Mathematics | September 2021, Faculty of Architecture, TU Kaiserslautern, Germany.
- Non-uniform Polyhedra in Barbaro’s La Pratica della Perspettiva (keynote lecture) Giornata di studi – Daniele Barbaro e lo Studio Patavino | December 2020, Universitá di Padova, Italy.
- Tessellations Within Tessellations (short paper with oral presentation) Symmetry Art and Science: 11th Congress and Exhibition | November 2019, Kanazawa Institute of Technology, Japan.Geometria Descritiva Interactiva (keynote lecture) 2º Workshop – Software Livre de Matemática | July 2019, Instituto Superior de Engenharia de Coimbra, Portugal.
- Topological Interlocking of Convex Regular Polyhedra (poster with oral presentation) RCA 2018: Research Culture in Architecture. International Conference on Cross-Disciplinary Collaboration | September 2018, Faculty of Architecture, TU Kaiserslautern, Germany.
- Interactive Expansion of Achiral Polyhedra (paper with oral presentation) ICGG18: 18th International Conference on Geometry and Graphics | August 2018, Politecnico di Milano, Italy.
- Architectonic Tessellations as Constructive Modules (poster with oral presentation) Nexus 2018: Relationships between Architecture and Mathematics | July 2018, Università di Pisa, Italy.
- Axonometric Representations in Solid Geometry Teaching (poster presentation) Nexus 2016: Relationships between Architecture and Mathematics | July 2016, Biblioteca Campus de Gipuzkoa Donostia – San-Sebastian, Spain.
- Interactive Resources for an Active Descriptive Geometry Learning (paper presentation) 12th International Conference on Technology in Mathematics Teaching | July 2015, Faculdade de Ciências e Tecnologia da Universidade do Algarve, Portugal.
- Recursos digitais para a Didática e aAprendizagem da Geometria Descritiva (keynote lecture) Projeto TEA – Tablets no Ensino e na Aprendizagem – Fundação Calouste Gulbenkian | January 2015, Escola Secundária Eça de Queirós, Lisboa, Portugal.
- Dynamic geometry software and augmented reality samples for high school descriptive geometry teaching (paper with oral presentation) Enabling Teachers for Entrepreneurship Education | June 2014, Universidad de Granada, Spain.
- Descriptive geometry learning is no more threatened by dynamic geometry software than stairs by elevators (paper with oral presentation) III Dia Geogebra em Portugal | June 2013, Universidade de Aveiro, Portugal.
- DOCTORAL THESIS:
- AS EDITOR OR CO-EDITOR:
- BOOKS AND PROCEEDINGS:
- Vera Viana, Helena Mena Matos & João Pedro Xavier. 2022 Polyhedra and Beyond Selected Contributions from Geometrias’19, Porto, Portugal, September 05-07. Switzerland: Springer International Publishing. doi: 10.1007/978-3-030-99116-6
- Vera Viana, Dénes Nagy, João Pedro Xavier, Ana Neiva, Marco Ginoulhiac, Luís Mateus & Pedro Varela. (Eds.). 2022. Symmetry: Art and Science | 12th SIS-Symmetry Congress [Special Issue]. Symmetry: Art and Science. International Society for the Interdisciplinary Study of Symmetry. https://symmetrycongress.arq.up.pt/proceedings/
- Vera Viana, Vítor Murtinho & João Pedro Xavier (Eds.). 2020. Thinking, Drawing, Modelling. Springer, Cham. doi:10.1007/978-3-030-46804-0
- Vera Viana, Filipe Gonzalez, Gilson Braviano, Manuel Costa & Vítor Murtinho (Eds.). (2016). Geometrias & Graphica 2015 Proceedings, Universidade Lusíada de Lisboa. Porto: Aproged, Volume 1, Volume 2. ISBN 978-989-98926-2-0
- Vera Viana & Alexandra Paio (Ed.). 2014. Geometrias 2014 Proccedings. Porto: Aproged. ISBN 978-989-98926-0-6
- BOOKS OF ABSTRACTS:
- João Cabeleira & Vera Viana (Eds.) (2021) Jornadas Didácticas 2021: Livro de Resumos. Porto: Aproged.
- Vera Viana (Ed.). 2019. Geometrias’19: Book of Abstracts. Porto: Aproged. doi: 10.24840/978-989-98926-8-2.
- Vasco Cardoso & Vera Viana. 2018. Jornadas Didácticas 2018: Livro de Resumos. Porto, Portugal: Aproged.
- Vera Viana (Ed.). 2017. Geometrias’17: Book of Abstracts. Porto: Aproged.
- JOURNAL ISSUES:
- Vasco Cardoso & Vera Viana (Eds.). 2021. Boletim da Aproged, 35. Porto, Portugal: Aproged.
- Vera Viana, Vítor Murtinho & João Pedro Xavier. 2018. Boletim da Aproged, 34. Porto, Portugal: Aproged.
- Vera Viana (Ed.). 2017. Boletim da Aproged, 33. Porto, Portugal: Aproged.
- Vera Viana (Ed.). 2015. Boletim da Aproged, 32. Porto, Portugal: Aproged.
- Vera Viana (Ed.). 2014. Boletim da Aproged, 31. Porto, Portugal: Aproged.
- Vera Viana (Ed.). 2013. Boletim da Aproged, 30. Porto, Portugal: Aproged.
- Vera Viana (Ed.). 2012. Boletim da Aproged, 29. Porto, Portugal: Aproged.
- Vera Viana (Ed.). (2009). Boletim da Aproged, 28. Porto: Aproged.
- BOOKS AND PROCEEDINGS:
EVENTS ORGANIZATION:
- Nexus 2023: Relationships between mathematics and architecture | Conference Coordination Committee member
- Symmetry: Art and Science | 12th SIS-Symmetry Congress | Co-Chair and Organizing Committee member
- Jornadas Didácticas 2021 | Organizing Committee member
- IS4SI 2021 – Summit of the International Society for the Study of Information | Co-Chair
- Conference Symmetry, Structure, and Information @ 2021 IS4SI Summit | Chair of Session 1 and Session 2
- Conference Symmetry, Structure, and Information @ 2021 IS4SI Summit | Organizing Committee member
- IASS Annual Symposium and Spatial Structures Conference | Chair of the Sessions “Morphology and Configuration Processing 1” and “Morphology and Configuration Processing 2”
- Nexus 20/21: Relationships Between Architecture and Mathematics | Chair of the Session “Mathematics of Natural Forms and Structures”
- Geometrias 19: Polyhedra and Beyond (2019, FAUP, University of Porto) | Organizing Committee member
- Jornadas Didácticas 2018 (2018, Faculdade de Belas Artes da Universidade do Porto) | Organizing Committee member
- Geometrias 17: Thinking, Drawing, Modelling (2017, University of Coimbra) | Organizing Committee member
- Jornadas Didácticas 2016 (2016, Escola Secundária de Pedro Nunes, Lisboa) | Organizing Committee member
- Geometrias & Graphica 2015: Trends on Graphic Thinking (2015, Universidade Lusíada, Lisbon) | Organizing Committee member
- Geometrias’14: New challenges on practice, researching and teaching geometries and drawing (2017, ISCTE-IUL, Lisbon) | Organizing Committee member
- Geometrias’13 (2013, FAUP, University of Porto) | Organizing Committee member
geometry addiction 