Tessellations Flashcards

1
Q

When does a pattern have Translation Symmetry?

A

When it can be translated along a vector so that the image coincides with the preimage.

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2
Q

What is a Frieze Pattern?

A

A pattern that has translation symmetry along a line.

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3
Q

When does a pattern have Glide Reflection Symmetry?

A

When the image coincides with the preimage after a glide reflection.

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4
Q

What is Tessellation?

A

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.

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5
Q

What is Regular Tessellation?

A

A regular tessellation is formed by congruent polygons.

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6
Q

What is Semiregular Tessellation?

A

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.

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7
Q

What is Semiregular Tessellation?

A

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.

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8
Q

When will Polygons not Tessellate?

A

When they can not fit together without making gaps.

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9
Q

What agreements must the angles make to form a Regular Tessellation?

A

To form a Regular Tessellation, the angle measures of a regular polygon must be a divisor of 360 degrees.

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10
Q

What agreements must the angles make to form a Semiregular Tessellation?

A

To form a Semiregular Tessellation, the angle measures around a vertex must add up to 360 degrees.

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