1 – Norms and Setting Up Student Blogs 

2 – Flatland: The Movie (Considering the Dimensions of Space)

3 – Considering the Dimensions of Space: Dimensional Mapping

4 – Considering the Dimensions of Space: Additional Cases

5 – Capturing and Representing Space

6 – Representing Impossible and Invisible Spaces

7 – Culminating Project: Innovative Uses of Flexible Space Concepts

Outline of Trajectory & Links to Cases

Part I – Introduction

1. Establish norms for communication and collaboration; the learning environment (focused on openness – freedom to be imaginative)

2. Create blog sites: establish as a place to reflect in our growing understandings of space and perspective

3. Explore prior understandings: what we think we know about space, perspective, dimension, perception. What is geometry?

Part II – Considering the Dimensions of Space (Problematizing Space)

Guiding Question: How does dimension inform our understanding of perspective and space?

1. Flatland

2. 2D/3D Mapping

3. 2D/3D Games (Portal, Super Paper Mario, Percepto, Minecraft)

4. Patterns

5. Art & Point of View

Part III – Capturing and Representing Space

Artists, mathematicians, designers – even poets and musicians seek to represent the multiple facets of space.

Guiding Question: How does the practice of capturing and representing space inform our understanding?

1. Mediating Technologies

2. Lenses and Filters

3. Light

4. Art/Photography/Videography Techniques

5. Games (contemplate a Mario Brothers of world 1-1/line creature in lineland, world 3-4/space creature in hyperland), etc.

*POV, angles, culture, taking on/creating perspective, time?

Part IV – Representing Impossible and Invisible Spaces

Guiding Question: How do representations of impossible and invisible spaces inform our understanding of space and perspective?

1. Optical Illusions (Gestalt, Deception)

2. Sound (Cymatics, Music…Visually)

3. Imagination/Graphic Design (Ihde)

4. Games

5. Micro/Hidden

6. Photo/Video Techniques (light ray, time)

7. Light (transitional objects)

8. Art


Part V – Innovative Uses of Flexible Space Concepts

Culminating Project: What does your newfound perspective allow you to do? How can you show this?


  • Re-invent a mathematics of space – you are not limited to Euclidean “flat” geometry.
  • Create a game/video/story/animation/painting
  • Design a 4D world
  • Collaborate with another classmate (or work alone) to create an investigation into space for others (collect your own set of “cases” examining an aspect of space that interests you)
  • Design an experiment and share the results in your choice of format. This could be something akin to the cymatics cases where vibrations of sound were shown through patterns in sand and liquid
  • Create a YouTube video similar to Merleau-Ponty’s, where you philosophize about space, geometry, embodiment, perspective – anything you feel others may not be seeing the same way as you.