SYMMETRY & NATURE IN ART

Line of Symmetry

the imaginary line that divides a shape into two identical, mirrored halves

Rotational Symmetry

a shape has this if it still looks the same after being rotated less than a full 360-degree turn

Center of Rotation

the fixed point around which a shape is turned. This point stays in the same position

Transformation

an operation that moves, flips, or changes a figure (the preimage) to create a new figure

Translation

moves every point in a figure the same distance in the same direction

Reflection

Creates a mirror image of a figure by flipping it over a line of reflection

Rotation

turns a figure around a fixed point (the center of rotation) by a specific angle and direction

Dilation

Stretches or shrinks a figure relative to a center point and a scale factor

Glide Reflection

a composite transformation: a translation followed by a reflection in a line parallel to the translation

Symmetry

refers to a balanced and proportionate arrangement of elements,often mirrored across a central axis, creating a sense of harmony, order, andstability in a composition

Reflectional Symmetry

occurs when one half of a shape or object is a mirror image of the other half across a line or plane of symmetry

Bilateral Symmetry

is a body plan in which an organism can be divided into two mirror-image halves along a single central plane, creating distinct left and right sides

Tessellations

s a pattern of geometric shapes that fit together perfectly on a plane without any gaps or overlaps and can extend infinitely in all directions. The shapes used are called tiles, which can be polygons like triangles, squares, hexagons, or more complex forms

Regular Tessellations

is a pattern made by repeating a single type of regular polygon that fits together perfectly without gaps or overlaps.

Semi-regular Tessellations

are tilings of the plane made from two or more types of convex regular polygons,arranged so that the same combination of polygons in the same order surrounds every vertex.

Monohedral Tessellations

is a tiling of the plane using only congruent tiles ,meaning all tiles are identical in shape and size.

Periodic Tessellation

refers to the covering of a surface using geometric shapes, called tiles, in a repeating pattern without overlaps or gaps

Aperiodic Tessellation

is a tiling of a plane using a set of tiles that cannot form a repeating pattern, meaning it lacks translational symmetry.

Irregular Tessellation

is a pattern made up of shapes that are not regular polygons, fitting together without gaps or overlaps, allowing for a diverse range of designs.