Fractals, Tesselations and Symmetry Flashcards
- geometric patterns that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry
- they are repetitive, circular, looping, recurrent, recursive, iterative, and infinite
fractals
- a special type of tiling that repeats forever in all directions
tesselation
types of tesselations
regular tesselation, semi-regular tesselation, and irregular tesselation
are composed of identically sized and shaped regular polygons
regular tesellation
are made from multiple regular polygons
semi-regular tesellation
consist of figures that aren’t composed of regular polygons that interlock without gaps or overlaps
irregular tesellation
corner point where shapes meet
vertex
when 2 or more parts are identical after a flip, slide, or turn
symmetry
types of symmetry
translational symmetry, rotational symmetry, reflectional symmetry, and glide reflection symmetry
where a figure or an image is translated at a set distance in the same direction as the original
translational symmetry
- radial symmetry
- where a shape or an image after some rotation
rotational symmetry
- line or mirror symmetry
- one half of the image or picture reflects the other half
reflectional symmetry
type of symmetry where the figure or image looks precisely the original when it is reflected over a line and then translated at a given distance in a given direction
Glide reflection symmetry
an imaginary line or axis that passes through the center of any picture, shape, or object and it is divided into 2 identical halves
line of symmetry