Tessellations Flashcards
When does a pattern have Translation Symmetry?
When it can be translated along a vector so that the image coincides with the preimage.
What is a Frieze Pattern?
A pattern that has translation symmetry along a line.
When does a pattern have Glide Reflection Symmetry?
When the image coincides with the preimage after a glide reflection.
What is Tessellation?
A tessellation, or tiling, is a repeating pattern that completely covers a plane with no gaps or overlaps. The measures of the angles that meet at each vertex must add up to 360 degrees.
What is Regular Tessellation?
A regular tessellation is formed by congruent polygons.
What is Semiregular Tessellation?
A semiregular tessellation is formed by two or more different regular polygons, with the same number of each polygon occurring in the same order at every vertex.
What is Semiregular Tessellation?
A semiregular tessellation is formed by two or more different regular polygons, with the same number of each polygon occurring in the same order at every vertex.
When will Polygons not Tessellate?
When they can not fit together without making gaps.
What agreements must the angles make to form a Regular Tessellation?
To form a Regular Tessellation, the angle measures of a regular polygon must be a divisor of 360 degrees.
What agreements must the angles make to form a Semiregular Tessellation?
To form a Semiregular Tessellation, the angle measures around a vertex must add up to 360 degrees.
