mellow fractal
I was wondering how I could define/describe the inverses of the movements: translation, rotation about a point, reflection on a line and glide reflection.
My task in this work is purely theoretical, so therefore I will take a screenshot of it in German (as the class is in German) and also the translation of it. Thanks in advance.
civic ermineBOT
hearty lichen
why not go even simpler
transposition
reflection about the x-axis
rotation about the origin
those three are very basic and their use in composition can generate all movement
Identities
transposition(0,0) and RotateOrigin(0) are identities
MirrorX() does not have an identity
Inverses
trans_inv(x, y) = trans(-x,-y)
mirror_inv() = mirror_inv()
rotateOrigin_inv(a)=rotateOrigin(-a)