Tessellations §

Group: 4 #group-4

Relations §

• Mosaics: Tessellated patterns are often used in the creation of mosaics, where small tiles are arranged to form larger designs.
• Crystallography: Tessellations are related to crystallography, the study of the arrangement of atoms in crystalline solids.
• Repetition: Tessellations rely on the repetition of shapes in a regular or semi-regular pattern.
• Decorative Art: Tessellations are often used in decorative art, architecture, and design for their aesthetic appeal and intricate patterns.
• Folding Patterns: Folding patterns can be used to create tessellations, which are repeating patterns that cover a plane without gaps or overlaps.
• Origami: Origami, the art of paper folding, often involves the creation of tessellated patterns and shapes.
• Fractals: Some tessellations exhibit fractal-like properties, with self-similar patterns at different scales.
• Tiling: Tessellations involve the tiling of a plane with repeated shapes, covering the entire surface without gaps or overlaps.
• Quasicrystals: Quasicrystals are a type of solid with an ordered but non-periodic structure, related to aperiodic tessellations.
• Geometry: Tessellations are a branch of geometry that deals with the tiling of a plane with repeated shapes.
• Polyhedra: Tessellations can be extended to three dimensions, forming polyhedra with tessellated faces.
• Symmetry: Many tessellations exhibit symmetry, such as rotational, reflective, or translational symmetry.
• Modular Origami: Modular origami can create tessellated or tiled patterns with the units or modules.
• Penrose Tilings: Penrose tilings are a type of aperiodic tessellation that exhibit self-similarity and non-repeating patterns.
• Periodic Tilings: Periodic tilings are tessellations that exhibit translational symmetry, repeating the same pattern across the plane.
• Wallpaper Patterns: Wallpaper patterns are a type of tessellation that can be translated across a plane without gaps or overlaps.
• Escher: The Dutch artist M.C. Escher is famous for his intricate tessellated artworks featuring interlocking shapes and patterns.
• Islamic Art: Tessellated patterns are prevalent in Islamic art and architecture, featuring intricate geometric designs.
• Fold Angle: Fold angles play a role in creating tessellated origami patterns.
• Aperiodic Tilings: Aperiodic tilings are tessellations that lack translational symmetry and do not repeat in a periodic pattern.
• Patterns: Tessellations create intricate patterns by repeating shapes without gaps or overlaps.
• Parquet Deformations: Parquet deformations are a type of tessellation where the shapes are deformed or distorted while still tiling the plane.