Brief CV: António Bandeira Araújo has a degree in Physics (1995) and a PhD in Mathematics from the Faculty of Sciences of the University of Lisbon (2011). He is an Assistant Professor at Universidade Aberta, where he has been lecturing since 2003.

Research Interests: He has been dividing his scientific research between two main areas within the study of geometry – in the field of pure mathematics, he studied the classification of legendrian curves and the desingularisation of lagrangian surfaces. Recently, he has devoted himself to the study of the application of geometry to visual arts, in particular to the study of the curvilinear perspectives and anamorphoses, both in the scope of classical techniques and in their relation with the algorithms and techniques of digital art. This research maintains a close connection with his parallel ongoing activities in the field of plastic arts and illustration. He is a member of both CIAC – Centre for Research in Arts and Communication (Universidade Aberta) and CMAF-CIO – Center for Mathematics, Fundamental Applications and Operations Research.

Latests Publications:

Araújo, A, (2018). Ruler, compass, and nail: constructing a total spherical perspective. Journal of Mathematics and the Arts. 12:2-3, 144-169,

Araújo, A. (2018). Drawing Equirectangular VR Panoramas with Ruler, Compass, and Protractor. Journal Of Science And Technology Of The Arts. 10(1), 15-27. doi:

Araújo, A.B.. (2018). Let’s Sketch in 360°: Spherical Perspectives for Virtual Reality Panoramas. In Proceedings of Bridges Stockholm. Eds. E. Torrence et al., Tesselations Publishing, pp. 637-644. (link).

Araújo, António (2017). Guidelines for Drawing Immersive Panoramas in Equirectangular Perspective, In Artech 2017, Macau, China, Proceedings of the 8th International Conference on Digital Arts, Carlos Caires et al (Eds.), ACM ISBN 978-1-4503-5273-4, pp.93-99.

Araújo, António (2017). Cardboarding Mixed Reality with Dürer Machines, In Proceedings of the 5th Conference on Computation, Communication, Aesthetics & X, Lisbon, 2017. URL:

Araújo, António (2017). Anamorphosis: Optical games with Perspective’s Playful Parent, In Proceedings of Recreational Mathematics Colloquium v – G4G (Europe), 2017, pp. 71–86.URL:

Araújo, António (2016). Topologia, Anamorfoses, e o bestiário das Perspectivas Curvilíneas, Convocarte (Faculdade de Belas Artes da Universidade de Lisboa), no. 2 (Setembro 2016): 51-69. URL:

Marcos A., Martins A., Saldanha A., Araújo A., et al. (2016) Enhancement of Russian Creative Education: new post-graduation programme, In digital art practice. Russian Creative Education in Digital Arts in line with EU standards, ISBN 978.587627-142-6, part 2, Ed. Sergei Kurasov, Moscovo, pgs. 26-42, 2016.

Araújo, A., Neto, O. Limits of tangents of quasi-ordinary hypersurfaces, Proc. Am. Math. Soc., 141(1), Janeiro 2013, 1–11.