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David Lewis

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Can pentagon and square tessellate together?

No, a regular pentagon and a square cannot tessellate together. While squares can tessellate on their own, pentagons have angles that do not allow them to fit together with squares without leaving gaps. The internal angles of a regular pentagon are 108 degrees, while those of a square are 90 degrees, making it impossible to create a continuous tiling without overlaps or spaces.


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.


Will a regular isosceles triangle tessellate?

No, a regular isosceles triangle will not tessellate. In order for a shape to tessellate, it must be able to fit together with copies of itself without any gaps or overlaps. Regular isosceles triangles have angles of 90, 45, and 45 degrees, which do not allow for a repeating pattern that covers a plane without any spaces. Regular polygons that tessellate include equilateral triangles, squares, and hexagons.


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.


Does an oval tessellate?

An oval does not tessellate by itself, as it does not have straight sides that can fit together without any gaps or overlaps. In order to tessellate, a shape must have edges that match up perfectly with the edges of other shapes. Regular polygons like squares and hexagons tessellate because their sides are all the same length and can fit together seamlessly.


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?

All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.


Can semi circles tessellate?

Semi circles cannot tessellate on their own because they do not have a consistent straight edge to fit together seamlessly without gaps or overlaps. In order to tessellate, a shape must be able to fill a plane without any overlaps or gaps. However, semi circles can be combined with other shapes to create a tessellation, such as alternating semi circles with squares or triangles.


Can an semi cricle tessellate?

No, a semicircle cannot tessellate on its own because it does not fill space without leaving gaps. When arranged, semicircles can create patterns, but they will always result in empty spaces where the curves do not meet. For a shape to tessellate, it must be able to completely cover a plane without overlaps or gaps, which semicircles cannot achieve alone.