Maurits Cornelis Escher (1898 –1972) was a Dutch graphic artist who made woodcuts, lithographs, and mezzotints. Escher's work is inescapably mathematical and he conducted his own research into tessellation.
ISOMETRIES
Are rotations just reflections?
Key questions
1. What are translations, reflections and rotations?
2. How can we combine transformations?
3. What are invariant points?
4. In how many ways can we tile the plane?
5 lessons
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
Alice's Adventures in Wonderland by Lewis Carroll
Zachary Zormer Shape Transformer by Joanne Reisberg
Introduce...
grid reflections - 1
windmills - 1
rotation match - 1
rotation jigsaw - 1
column vectors - 1
glide reflections - 1, 2
glide reflections jigsaw - 1, 2
isometry models - 1
Develop...
frieze pattern shape - 1, 2, 4
frieze pattern number - 1, 2, 4
wallpaper patterns - 1, 2, 4
frieze collective memory - 1, 2, 4
180 rotation - 1, 2
congruent jigsaw - 1
frieze quiz - 1, 2, 4
Extend...
why only 4? - 1, 2, 3
three mirrors suffice - 1, 2
isometries investigation - 1, 2
transforming shapes - 1, 2