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Can a regular pentagon tessellate without overlaps or gaps?

Updated: 11/25/2020
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11y ago

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the answer is yes

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David Lewis

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Q: Can a regular pentagon tessellate without overlaps or gaps?
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Can a regular octagon tessellate without overlaps or gaps?

No, there would be triangles in between. Sorry!


What regular polygons tessellate on their own without any spaces or overlaps?

Equilateral triangle, square and regular hexagon.


Can a tesellation be created with any shape you can think of?

No. Multiple copies of the shape - whether arranged side-by-side or in an interlocking pattern, must cover a plane area without gaps or overlaps. A circle or regular pentagon, for example, will not tessellate.


Is it true you can not tessellate six sides polygon by itself?

No, it is not true that you cannot tessellate a six-sided polygon by itself. Hexagons are a type of polygon that can tessellate, which means they can be arranged in a repeating pattern to completely cover a plane without any gaps or overlaps.


Describe a combination of a regular octagon and another regular polygon that will tessellate the plane?

A regular octagon can tessellate the plane when combined with regular squares. By placing a square in the center of the octagon and surrounding it with eight octagons, the shapes can be repeated infinitely, filling the plane without gaps or overlaps


Why are there no crystals that are pentagonal?

The angles of a regular pentagon are 108 degrees in measure. That angle can not duplicate and make 360 degrees so it will tessellate or cover 360 without gaps.


What type of polygon is needed to make a tessellation?

Any polygon can be used to create a tessellation as long as it can fit together without any gaps or overlaps. Regular polygons with equal sides and angles, such as triangles, squares, and hexagons, are most commonly used for tessellations.


What is a characesteristic of a regular tessellation?

A regular tessellation is one in which a plane is covered, without gaps or overlaps, using copies of a regular polygon.


Is a pentagon a tessellation?

No a pentagon is a single polygonal shape, A tessellation is a scheme for covering a plane, without gaps of overlaps, using multiple copies of the same basic shape. These are usually polygons.


What A covering of a plane without overlaps or gaps using combinations of congruent figures?

It is a regular tessellation.


A regular tessellation consists of?

A scheme for suing multiple copies of a regular polygon so as to cover a plane without gaps or overlaps.


Shape of a pentagon?

A pentagon is a 2D, five sided shape. A regular pentagon looks a bit like a house, with a square without a top and instead a point.