Symmetries Flashcards
booo (18 cards)
Which type of symmetry involves sliding an object along a straight line?
Translation
How many degrees does a figure rotate in a rotation symmetry if it has an order of 4 (i.e., four-fold)?
90
What is a glide reflection?
A reflection followed by a translation
In a translation symmetry, the object
Moves without rotating or flipping
Which symmetry is often seen in the pattern of footprints?
glide reflection
A shape with reflection symmetry is always divided into
Two congruent halves
In rotational symmetry, if a shape looks the same twice during a full 360° turn, its order of symmetry is
2
Patterns that extend infinitely in one direction, with translation and possibly other symmetries.
freize pattern
Patterns with rotational and/or reflectional symmetry, but no translational symmetry.
Finite Patterns (rosettes
is a transformation of the plane that preserves distances — meaning the shape and size of figures stay exactly the same after the transformation.
Isometry
Patterns that repeat infinitely in two directions, covering the entire plane.
Wallpaper
states that there are only certain symmetries operations that can occur in two-dimensional periodic structures, such as in crystal lattices or tiling patterns
Crystallographic Restriction
type of tiling that does not have **two independent ** translational symmetries; it does not have a repeating pattern that covers the plane in a regular, periodic way.
aperiodic tiling
solid materials with an ordered but
non-periodic atomic structure.
quasi-crystals
shape or pattern that displays self-similarity, meaning it looks similar at different levels of magnification
fractal
