Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

During the course students will learn to understand some of the spatial constraints governing visual making, how they relate to each other, and what are the geometric and topological concepts used to refer to them. The students will learn how to represent structures and spaces in interesting and effective means. They will also learn to recognize and contextualize various geometric and topological phenomena, talk about them using appropriate vocabulary, solve spatial problems arising from their own practice, and know where to find further information about them. Dealing with the properties of polygons, meshes, solids and their projections, many contents of the course are perfect for application in digital technologies such as programming, CAD and 3D printing.

Credits: 5

Schedule: 28.10.2020 - 04.12.2020

Teacher in charge (valid 01.08.2020-31.07.2022): Taneli Luotoniemi, Alejandro Pedregal Villodres

Teacher in charge (applies in this implementation): Taneli Luotoniemi, Alejandro Pedregal Villodres

Contact information for the course (valid 26.09.2020-21.12.2112):

Taneli Luotoniemi

Postdoctoral Researcher
Department of Mathematics and Systems Analysis
Aalto University

Email: taneli.luotoniemi@aalto.fi

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content
  • Valid 01.08.2020-31.07.2022:

    Topics discussed include tilings and patterns, polyhedra, space-fillings, symmetries, projections, perspective, topology, hyperbolic and projective geometries, knots, 4-dimensional space, geometry in fiction, and mathematical art.

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    The working methods include lectures, demonstrations, exercises, workshops and discussions. The assessment is based on activity during the meetings and on the exercises, where the focus is on the treatment of the subject, artistic inventiveness, and the articulated and careful execution.

Workload
  • Valid 01.08.2020-31.07.2022:

    Lectures: 36 hours

    Individual/group work: 81 hours

    Reflection: 18 hours

    80% attendance required

DETAILS

Study Material
  • Valid 01.08.2020-31.07.2022:

    The course doesn't have mandatory reading, but the students are provided with a list of relevant literature and webpages for further inquiries.

Prerequisites
  • Valid 01.08.2020-31.07.2022:

    None