Geometric Patterns

Mathematical pattern

An object or group of objects that possesses regularity or repetition, whether visual or arithmetic.

Sequence

A pattern made of numbers, characterized by a specific rule or relationship between each term.

Symmetry

The property of an object or design that allows it to be divided into parts that are mirror images of each other.

Tessellation

A pattern of flat shapes that fit together on a surface without any overlaps or gaps.

Fractal

A complex pattern that repeats itself at different scales or levels of magnification.

Geometric pattern

A regular, repeated visual form or design.

Symmetric balance

Balanced proportions or beauty of form arising from balanced proportions in architectural designs.

Geometry

The fundamental science of forms, figures, and transformations in mathematics and architectural design.

Bilateral symmetry

When an object or organism can be divided into mirror image halves along a plane.

Radial symmetry

A type of balance in which the parts of an object or picture are regularly arranged and radiate from a central point.

Meander pattern

A series of regular sinuous curves, bends, loops, turns, or windings in the channel of a river or stream.

Spiral symmetry

A curve formed by a point revolving around a fixed axis at an ever-increasing distance.

Spherical symmetry

The ability to draw an endless or great but finite number of symmetry axes through a body.

Transformation

A change or movement of a geometric shape or motif without changing its shape or size.

Translation

A movement of a shape or motif in a given direction without changing its shape, size, or orientation.

Rotation

A movement of a shape or motif by rotating it around a fixed point (center of rotation) through a specified angle.

Reflection

A movement of a shape or motif by flipping it along a reflection line, creating a mirror image.

Dilation

Resizing a figure by a scale factor about a point, without changing its shape.

Glide reflection

A product of a reflection and a translation whose direction is parallel to the line of reflection.

Symmetric patterns

Designs or patterns that have at least one non-trivial