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What are the properties of tessellation?
Polygons that fit together with no gaps or overlaps are said to tessellate with each other.
What is the difference in a regular and semi-regular tessellation?
A regular tessellation is based on multiple copies of the same regular polygon. A semi-regular tessellation uses copies of two (or more) regular polygons. In the latter case, at each vertex the various polygons are arrayed in the same order (or its mirror image).
What is the name of the tessellation made with more than one regular polygon?
A tessellation made up of two or more regular polygons is referred to as a semi-regular tessellation. The eight semi-regular tessellations are known as:3.3.3.3.6, 3.3.3.4.4, 3.3.4.3.4, 3.4.6.43.6.3.6, 3.12.12, 4.6.12, 4.8.8.The numbers refer to the number of sides of polygons around each vertex, starting with the polygon with the fewest number of sides.
What is the difference between a tessellation and a regular tessellation?
A regular tessellation is a tessellation composed entirely of congruent polygons - meaning that ALL shapes in the tessellation are the same. Only 3 regular tessellations exist: equilateral triangles, regular hexagons, and squares. A tessellation is any pattern of shapes which can be repeated infinitely throughout a plane without leaving any "spaces" between the connected patterns and also without any of the shapes overlapping each other.
What is a non-polygonal tessellation?
Non-polygonal tessellation is tessellation in which the individual units are not polygons. Some are derived from concave polygons with smooth curves replacing angular parts. This browser is rubbish for graphics but I will try:Ignoring all the full stops (which are used as spacers), try to visualise the shapes below as two dumb-bells of the same size! I appreciate that they are anything but that but you try it on this browser! The upper one has its bar horizontal and the lower one vertical. If the angular bits are replaced by smooth curves then each dumb-bell will consist of two convex semicircles joined together by two concave semicircles. This new shape will tessellate and, since it has curves instead of straight lines, it is not a polygon. There are others....___..........___./......\____/......\|........____.......|.\____/.......\___/.......|.........|........\......../........|......|......./.........\......|..........|.......\______/
