Beyond the Third Dimension
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Itinerant exhibition


Universidade do Minho
Claustros do Instituto de Estudos da Criança
Av. Central, 100
4700 Braga
Organized by:
Departamento de Matemática, Escola de Ciências
Departamento de Ciências Integradas e Língua Materna
do Instituto de Estudos da Criança
February 18 to March 1, 2002
Monday to Friday, 9:30 - 17:00
Local contact:
Ana Pereira do Vale <>, phone +351 253604340


Encontro Nacional da
Sociedade Portuguesa de Matematica

Universidade de Coimbra
Auditório da Reitoria
February 5-8, 2002
Free entry


Museu de Ciência da Universidade de Lisboa
Rua da Escola Politécnica, 56
1250-102 Lisboa
From December 11 2001
Monday to Friday, 10:00 - 13:00 · 14:00 - 17:00
Saturday, 15:00 - 18:00
Local contacts:, phone +351 213921808, fax +351 213909326


Instituto Politécnico de Setúbal
(Escola Superior de Ciências Empresariais)
Campus do Instituto Politécnico de Setúbal
Rua Vale de Chaves, Estefanilha
2914-508 Setúbal
November 19 to 30, 2001
Weekdays, 10:00 - 13:00 · 15:00 - 19:00
Local contacts:
José Carvalho <>, phone +351 914728299
Verónica Quítalo <>, phone +351 919102536


Faculdade de Arquitectura da Universidade do Porto
Rua do Golgota, 215
4150-755 Porto
October 1 to 19, 2001
9:00 - 18:30
Local contacts:
João Pedro Xavier


Faculdade de Ciências da Universidade do Porto
Praça Gomes Teixeira
4099-002 Porto
September 14 to 29, 2001
14:30 - 17:30
Local contacts:
Rosário Pinto

Rio de Janeiro, Brasil

Instituto de Matemática Pura e Aplicada
Estrada Dona Castorina, 110 - Jardim Botânico
22460-320    Rio de Janeiro, RJ
July 23 to 27, 2001
9:00 - 18:00
Local contacts:
Carlos Alberto dos Santos or Rogério
room 210,  ;phone +55 (21) 529 5010


Instituto Superior Técnico
Salão Nobre
May 3 to 17, 2001


Instituto Politécnico de Tomar
(Departamento de Tecnologia
e Intradepartamental de Matemáticas)
April 3 to 20, 2001
Weekdays, 14:30 - 19:00
For other informations, contact:
phone +351 249328140  ·   email
telefone +351 249328183  ·   email


Universidade da Beira Interior
(Departamento de Matemática)
March 12 to 31, 2001
Weekdays, 9:00 - 12:30 · 14:00 - 17:00
For other informations, contact:
phone +351 275319058  ·  fax +351 275319079


Museu Nacional da Ciência e da Técnica
(Colégio das Artes/Antigo Hospital da Universidade)
January 15 to February 2, 2001
Monday to Friday, 9.30 - 12.30 and 14:00 - 17.39
Contact:IHCT/MNCT, phone +351 239851140


Madeira Tecnopolo
November 22 to December 6, 2000
10:00 - 18:00


Solar da Praça de Santa Maria
October 14 to November 19, 2000
10:00 - 13:00 · 14:00 - 18:00

Opening notes


Óbidos has the great pleasure and honor to host this so unusual exhibit wishing that this Country will always play prominent role in the decentralization and promotion of Culture.

My special tribute to the outstanding mathematicians and authors of this exhibit, that I will have the pleasure to welcome personally, stating by this way my utmost admiration to their creativity.

José António Pereira Júnior
Mayor of Óbidos


The Portuguese Mathematical Society (SPM), in the framework of the activities of the World Mathematical Year 2000, is honoured to associate itself with the exhibition of Mathematics and Digital Art "Beyond the Third Dimension". This initiative will certainly contribute to the improvement of the public visibility of Mathematics and to the diffusion of the relations between this science and the new technologies.

The SPM is grateful to the town of Óbidos for the welcome of this itinerant exhibit in its beginning, as well as the scientific meeting "The Practice of Mathematics in Portugal", that will take place during that exhibition at Óbidos.

Ana Bela Cruzeiro
President of the Portuguese Mathematical Society

Universidade da Madeira

Dimension is one of the basic concepts of mathematics. Mathematicians use it almost everyday and yet, for the public at large, it remains a big mystery. To be able to show, through an event like this one, what "exists" in dimensions bigger than 3, and that such things can be beautiful is a rare opportunity. It provides us with the opportunity of showing that mathematics is fun too. In fact, reputedly, mathematics is a difficult subject and not a very popular one in our schools. To change this state of things has not been easy but it is certain that attractive and beautiful exhibitions like this one will prove to be essential.

For the youngest public university in Portugal, during the World Mathematical Year, it was thus obvious that it should participate in this event, and bring to all the possibility of an extraordinary voyage Beyond The Third Dimsnsion.

Rita Vasconcelos, José Manuel Castanheira da Costa and José Carmo
Departamento de Matemática da Universidade da Madeira

CMAF / Universidade de Lisboa

The Centro de Matemática e Aplicações Fundamentais (CMAF), of the University of Lisbon, as a complement of its role of scientific research unit with a quarter of century lifetime, participates at the World Mathematical Year with an initiative in the popularization and communication of the mathematical sciences, the "Projecto Matemática em Acção"

In this framework, the CMAF promotes this exhibition of high visual quality with the colaboration and support of several entities, in particular, its authors, Professors T. Banchoff and D. Cervone, to whom expresses here its recognition. Among several objectives, this exhibition aims to stimulate the imagination and rouse the curiosity of young people and the general public, by showing the potential of new information technologies and computational geometry through a fascinating experience that relates mathematics, art and computer graphics.

On behalf of CMAF, it is our pleasure to thank the town of Obidos in the persons of its mayor Mr. José António Pereira Júnior, its Town Councillor responsable for the Culture, Tourism, Patrimony, Social Welfare and Sports, Mrs. Maria Helena Correia, and its Municipal Deputy, Mrs. Isabel de Noronha.

Suzana Nápoles and José Francisco Rodrigues
Centro de Matemática e Aplicações Fundamentais da Universidade de Lisboa