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»La Fleur Mathématique«

Bend it like Dini!

»La Fleur Mathématique«

Bend it like Dini!

10/07 — 22/07/2023


AMBS is part of TU Dresden research within the SPP 2187 called »Adaptive Modularized Constructions Made in Flux«. The research with the title »Formwork-free flow production of adaptive support structures from variable frame elements (ACDC)« is a colaboration of the working groups of Prof. Dr.-Ing. Viktor Mechtcherine and Prof. Dr.-Ing. Daniel Lordick. The SPP 2187 is part of the AdvanceAEC network.

AMBS is driven by an international cooperation of researchers coming from different disciplines: GMV of TU Dresden (D), AMG of the GSA lab (ENSAPM, FR), CMAT of UMinho (PT), FAUL (PT). The link and mathematical background is provided by Dr. Dr. Ahmed Elshafei (Centro de Matemática, Universidade do Minho, Campus de Gualtar, Braga, Portugal), who currently is a visiting researcher at GMV, funded by the Dresden Fellowship Program.

Architectural mathematics
Renewable materials
Bamboo construction
Art and science


Project page on the TU Dresden site.

SPP 2187 

Prof. Dr.-Ing. Daniel Lordick

AdvanceAEC network

AMG of the GSA lab (ENSAPM, FR)

CMAT of UMinho (PT)


Dresden Fellowship Program.


The main goal of AMBS is to use a mathematical approach to design efficient building structures. This includes skillful parameterizations of certain surfaces suitable for architectural design. The essential tools used to harness such surfaces are parametric modeling and geometric transformations.

Important but so far hardly noticed are the surfaces with negative constant Gaussian curvature (e. g. Dini), They allow special networks, having correspondences between asymptotic and principal networks. Benefits from combining those are explored during AMBS, since their properties allow the elegant creation of braced, piece-wise developable surfaces or/and planar quadrilateral panels. 

Geometrical characteristics enhance design possibilities and we will explore this hands on with bamboo structures. The good reason for using bamboo is its sustainability and its structural capacity. The organic material will also challenge the precision of the parametric setup. This part will be guided by international bamboo experts.

AMBS is both a summer school to enhance knowledge and abilities of the participants, and a design space exploration of mathematics and architecture, especially applied to bamboo construction.

The summer school is funded by the German Research Foundation (DFG) as part of the SPP 2187. Additional funding is made possible by the Excellence Initiative of the German Federal Ministry of Education and Research.

Photos ©Matthias Schumann