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, regular pentagons and regular hexagons can fit together to tile a flat surface. This combination can create a tessellation pattern where the pentagons and hexagons alternate, filling the space without any gaps. However, it requires careful arrangement and specific angles to achieve a seamless fit, as the internal angles of these shapes are different. Generally, this type of tiling is more complex than using just one type of polygon.
regular hexagon
Yes
yes
Yes.
A regular tessellation or semi-regular tessellation or none.
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.
Yes. Bees are extremely good at tessellating regular hexagons in a honeycomb.
A regular tessellation is one in which a plane is covered, without gaps or overlaps, using copies of a regular polygon.
No. See, for example, the top image in the attached link.
Semi-regular tessellation is a tessellation of the plane by 2 or more different convex regular polygons. A semi-regular tessellation combines two or more regular polygons. Each semi-regular tessellation has a tupelo, which designates what kind of regular polygon is used.
Yes it can
regular hexagon
Yes
No, not normally
yes
Yes.