MODULE 4: NATURE & ARTS Flashcards
Fibonacci Sequence
Sequence of numbers being the sum of the 2 proceeding ones
Golden Ratio
1.618
Fractals
Broken and Fractured geometric shapes
Self-similarity
Formed from smaller versions of itself
Sierpinski Tirangle
Fixed set, smaller equilateral triangles
Koch Snowflake
Triangles divided by thirds
Translation
Slide, orientation is the same as the pre-image
Reflection
Flip, mirror and congruent to pre-image
Rotation
Turn, fixed while other points moved depending on the angle
Dilation
Object changes in size
Isometries
Mapping that is distance-preserving
Glide Reflection
Translation and reflection on an image
Proper Transformation
Translation and rotation
Improper Transformation
Reflection and glide reflection
Chasles’ Theorem
Every motion of the plane is one of the transformations
Bilateral Symmetry
Mirror or reflection symmetry
Radial Symmetry
Rotational symmetry
Translation Symmetry
Move from one position to another
Glide Symmetry
Combo of translation and reflection
Rosette Pattern
Repeat in no direction
Cylic
Admits rotational symmetries
Dihedral
Admits both rotational and bilateral symmetries
Frieze Pattern
Repeat exactly in one direction
Wallpaper Pattern
Repeat in more than one direction
