Escher's Tessellation
This course will cover two types of Escher's Tessellations
- based on altering opposite parallel sides
- based on rotations
Exploration 1: Altering Opposite Parallel Sides (Translation)
Challenge:
Cut a shape out of one side of your square. Slide (translate) that piece directly across to the exact opposite side and tape it down. Repeat this for the other pair of parallel sides if you wish.
Alternatively, you may use the grid below to construct the shape.
Evaluation Focus:
Does the modification on the left side 'cancel out' the modification on the right? What translation vector (x, y) did you use to move your cut-out?
*Note: The vector must be equal to the side length of the polygon
Exploration 2: Rotational Tessellations
Challenge:
Choose a vertex (corner) of your shape. Cut a piece out of one side connected to that corner. Instead of sliding it, rotate the piece around that vertex until it lines up with the adjacent side.
Alternatively, you may use the grid below to construct the shape.
Evaluation Focus:
Which isometric transformation is used?
Compare the rotation angle with the interior angle of the polygon.
*Note: The rotation angle should match the interior angle of the polygon
Based on the patterns below, evaluate the motif and type of isometric transformation that occur.
