Yes
Yes.
Yes
regular hexagon
No. Each interior angle of a regular pentagon is 108 degrees. In order for tessellation to be possible, the sum of the angles meeting at a point must be 360 degrees. That is to ensure that all the space around that point is covered. But 108 is not a factor of 360 so it is not possible.
No, a tessellation cannot be created using only regular pentagons. This is because regular pentagons do not fit together to fill a plane without leaving gaps or overlapping. The internal angles of regular pentagons (108 degrees) do not allow for combinations that sum to 360 degrees around a point, which is necessary for a tessellation. Other shapes, like triangles, squares, or hexagons, can tessellate because their angles allow for such arrangements.
Yes.
Yes
regular hexagon
A regular tessellation or semi-regular tessellation or none.
Place the dodecagons so that every third side of a dodecagon is adjacent to another. In the gaps that are formed insert four equilateral triangles so that these touch a pair of dodecagons. Finally, fill the gap between the triangles using a square.
No. Because tessellation is about using lost (infinitely many) copies of a polygon to cover a surface, One polygon does not comprise a tessellation.
No. Each interior angle of a regular pentagon is 108 degrees. In order for tessellation to be possible, the sum of the angles meeting at a point must be 360 degrees. That is to ensure that all the space around that point is covered. But 108 is not a factor of 360 so it is not possible.
No, a tessellation cannot be created using only regular pentagons. This is because regular pentagons do not fit together to fill a plane without leaving gaps or overlapping. The internal angles of regular pentagons (108 degrees) do not allow for combinations that sum to 360 degrees around a point, which is necessary for a tessellation. Other shapes, like triangles, squares, or hexagons, can tessellate because their angles allow for such arrangements.
You have to specifically give the problem with the dots, but it can form all equilateral triangles.. .. . .. . . .
Yes it can
One example of a quilt pattern using triangles is the "Flying Geese" pattern. This pattern consists of triangles arranged to create the illusion of geese flying in a V formation. Another example is the "Half-Square Triangle" pattern, where two triangles are sewn together along the hypotenuse to form a square. These triangles can be arranged in various ways to create intricate and visually appealing quilt designs.
There is no such thing as a seni-regular tessellation. A semi-regular tessllation is a tessellation using two regular polygons: for example, octagons and squares together.