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A semi-regular tesselation may have:A.three types of shapesB.gaps between shapesC.overlapping shapesD.only one type of shape

Question

A semi-regular tesselation may have:

  • A. three types of shapes
  • B. gaps between shapes
  • C. overlapping shapes
  • D. only one type of shape
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Solution

A semi-regular tessellation, also known as an Archimedean tessellation, is a type of tessellation. A tessellation is a pattern of shapes that fit perfectly together without any gaps or overlaps.

A. Three types of shapes: True. A semi-regular tessellation can have more than one type of shape. In fact, it is made up of two or more different regular polygons (shapes with all sides and angles equal). Each vertex (corner) in a semi-regular tessellation is identical.

B. Gaps between shapes: False. By definition, a tessellation does not have any gaps. The shapes fit together perfectly.

C. Overlapping shapes: False. Again, by definition, a tessellation does not have any overlaps. The shapes fit together perfectly.

D. Only one type of shape: False. A semi-regular tessellation is made up of two or more different regular polygons. If a tessellation is made up of only one type of shape, it is a regular tessellation, not a semi-regular tessellation.

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