Credits: 5

Schedule: 11.09.2018 - 19.10.2018

Teaching Period (valid 01.08.2018-31.07.2020): 

I Autumn (2018-2019)

Not lectured (2019-2020)

Lectured every other year.

Learning Outcomes (valid 01.08.2018-31.07.2020): 

Students will learn to recognize and analyze symmetric patterns and structures observed in our environment and in their own professional surroundings. Mathematically rigorous treatment is used to illuminate elegant structures and shapes from an intuitive perspective and to provide the students with a widened scope of possibilities especially within practices involving modular repetition. By the end of the course, the students will be able to detect aspects of their own profession that can be presented, investigated, and developed using the language of modern mathematics.

Content (valid 01.08.2018-31.07.2020): 

Topics discussed include planar, spherical and hyperbolic 2D symmetries, Kleinian groups, conformal dynamics, 3D geometries, manifolds, orbifolds and fractals. This course provides views on research level differential geometry to a broad audience. During the course, we will consider methods offered by various fields of mathematics that meet needs in art and architecture. Through concrete projects, we will encounter different kinds of phenomena and interpretations of these phenomena provided by both classical and modern mathematics.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

Students must participate in 80% of the contact teaching. Exercises, workshops, learning diary.

Workload (valid 01.08.2018-31.07.2020): 

Contact teaching: 6h/week x 6 weeks=36h

Individual/group work: 87h

Study Material (valid 01.08.2018-31.07.2020): 

To be determined at the beginning of the course.

Course Homepage (valid 01.08.2018-31.07.2020):

Prerequisites (valid 01.08.2018-31.07.2020): 

There are no prerequisites from mathematics or art.

Grading Scale (valid 01.08.2018-31.07.2020): 


Further Information (valid 01.08.2018-31.07.2020): 

Piloting for an academic minor, Aalto Math&Arts has three transdisciplinary courses in the context of University Wide Art Studies (UWAS), integrating mathematics with visual arts, design and architecture.  The contents of the courses set up an ideal foundation for applications in digital technologies such as CAD, 3D printing, game design and VR. The courses are open to students in all levels of education, from the schools of Aalto and other universities in Finland, as well as for school teachers. No previous studies in mathematics or arts are required and the courses can be taken independently, but either or both of the 5cr courses MS-C1001, UWAS-C0014 should be finished before MS-E1000.


Registration and further information