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Could a tessellation be created using circles?
Regular Hexagon, Square, and Equilateral Triangle. (Apex)
No. Circles lack straight edges, and thus cannot tesselate with triangles.
No because if you put them side by side there would be a gap.
No circles can't tessellate because tessellate means fits together without any gaps and overlaping. I hope this helps =]
it can tessellate * * * * * NO IT CANNOT! A regular polygon can be used to create a regular tesselation if and only if its interior angle divides 360 degrees. The interi…or angle of a regular pentagon is 108 degrees, which does not divide 360 degrees so it cannot be used for a regular tesselation. . Three pentagons meeting at a point would cover 3*108 = 324 degrees - not enough to cover the 360 degrees at a point. Meanwhile 4 pentagons would cover 4*108 = 432 degrees - resulting in a 72 degree overlap.
no A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a t…iling. Read more here: What is a Tiling? A dictionary* will tell you that the word "tessellate" means to form or arrange small squares in a checkered or mosaic pattern. The word "tessellate" is derived from the Ionic version of the Greek word "tesseres," which in English means "four." The first tilings were made from square tiles. A regular polygon has 3 or 4 or 5 or more sides and angles, all equal. A regular tessellation means a tessellation made up of congruent regular polygons. [Remember: Regular means that the sides of the polygon are all the same length. Congruent means that the polygons that you put together are all the same size and shape.]
rotations and translations
because a circle is round. you need uncurved edges to tessellate.
Yes. Bees are extremely good at tessellating regular hexagons in a honeycomb.
For a shape to tile a plane, it must be capable of sharing a border with a copy of itself. Circles cannot do this; two circles which do not overlap touch in at most one point.…
Nope... there will always be spaces around the circles - even whenthey're touching.
regular hexagon, square, equilateral triangle...apex
No because each interior angle is 108 degrees which is not a factor of 360 degrees