![]() Using (a) and (b), find all possible pairs $(m,n)$įor a regular tessellation of the plane. Compute & set inner tessellation levels: Each inner tessellation level is along the same dimension as two outer tessellation levels. Show that for any such tesselation, we must have $m \geq 3$ and, using part (a), that $n \leq 6$. ![]() A semi-regular tessellation is made of two or more regular polygons e.g the hexagon and diamond shape above. In this problem you will discover some very strong restrictions on possible tesselations of the plane, stemming from the fact that that each interior angle of an $n$ sided regular polygon measures $\frac\right) = 360. In the example above of a regular tessellation of hexagons, next to the vertex are three polygons and each has six sides, so this tessellation is called '6.6.6'. Give your students a set amount of time to complete the project (up to 30. Of a regular tessellation which can be continued indefinitely in all directions: Show your students the example images and conduct a brief class discussion on where tessellations can be found in nature. The checkerboard pattern below is an example If any two polygons in the tessellation either do not meet, share a vertex only, ![]() If all polygons in the tessellation are congruent regular polygons and A tessellation is a tiling over a plane with one or more figures such that the figures fill the plane with no overlaps and no. Examples of tessellations are: a tile floor, a brick or block wall, a checker or chess board, and a fabric pattern. For example, part of a tessellation with rectangles is You have probably seen tessellations before, even though you did not call them that. A tessellation of the plane is an arrangement of polygons which cover the plane without gaps or overlapping.
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