Maths
Tiling the plane with the versatile tile
Images
3d model information
Technology:
FDM
Material:
PLA
Sizes:
3 cm x 1 cm x 0,4 cm
Accuracy:
High
Resistance:
High
Printing time:
1h
Number of pieces:
+100
STL Files Viewer
Summary
The activity is about tiling the plane with the tile known as the ‘versatile’ and other similar tiles. There are infinitely many ways to achieve this. Some of them are called periodic and other are called aperiodic. Two kind of tiles are used in the exercise.
Learning objectives
Improve the geometric comprehension and work with angles.
Teacher preparation
The teacher must at least be familiar with tiles and some configurations of the tiles.
Teacher explanation
The teacher introduces the two tiles and explain some relations regarding their geometry (angles). The teacher explains the difference between a periodic tiling and an aperiodic tiling with other tiles like triangles or squares or with copies of the tiles here used.
Student activity/Steps
- Explore the possibilities to tile the entire plane.
- Take notes and draw the progress made in a notebook.
General Info
Age of students
12-13
Skills needed
None
Duration
1 or 2 sessions
Individual/Groups
Group
Materials
PLA
Tools
Software
Cura
License Info
License name:
Attribution 4.0 International (CC BY 4.0)
License details:
You are free to:
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material
for any purpose, even commercially.
Under the following terms:
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
More info:
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