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the answer is yes
What else can I help you with?
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.
Why does a regular heptagon not tessellate?
A regular heptagon does not tessellate because its internal angle is approximately 128.57 degrees, which does not divide evenly into 360 degrees. For a shape to tessellate, the angles must combine perfectly to fill the space around a point without gaps or overlaps. Since the angles of a heptagon cannot satisfy this requirement, they cannot create a repeating pattern that covers a plane without leaving empty spaces.
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.
Could a star tessellate?
A star shape can tessellate if it can fit together without gaps or overlaps when repeated. Certain star polygons, like the regular pentagram, can tessellate when arranged in specific ways, often involving rotations or reflections. However, not all star shapes can tessellate; the ability depends on the angles and symmetry of the specific star design.
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.
