We are now concerned with tessellations of regular polygons, since regular polygons are the simplest types of polygons. Let us start with the simple case of a tessellation using only one type of polygon. Tessellations of only one type of polygon are called regular tessellations.
library.thinkquest.org/16661/simple.of.regular.polygons... library.thinkquest.org/16661/simple.of.regular.polygons/regular.1.html
Regular Tessellations - tessellations of only one type of regular polygon ... Demiregular Tessellations - tessellations that involve more than one type of regular polygon and that have two or three different polygon arrangements...
library.thinkquest.org/16661/of.regular.polygons/index.... library.thinkquest.org/16661/of.regular.polygons/index.html
Reinforce this idea with the Regular Tessellations interactive activity: ... You can also use a variety of regular polygons to make semi-regular tessellations. A semiregular tessellation has two properties which are:
mathforum.org/sum95/suzanne/whattess.html
Tessellations from Utah State's National Library of Virtual Manipulatives (NLVM) site ... Objective: By interacting with BoxerMath's Tessellation Tool, students understand why equilateral triangles, squares, and regular hexagons tessellate "regularly" in the Euclidean plane.
mathforum.org/pubs/boxer/tess.html
Tessellation - Wikipedia, the free encyclopedia
A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other ...
en.wikipedia.org/wiki/Tessellation
Tiling by regular polygons - Wikipedia, the free encyclopedia
Plane tilings by regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in Harmonices Mundi . Following Grünbaum and Shephard (secti...
en.wikipedia.org/wiki/Tiling_by_regular_polygons
Regular tessellations are made up entirely of congruent regular polygons all meeting vertex to vertex. There are only three regular tessellations which use a network of equilateral triangles, squares and hexagons.
www.mathpuzzle.com/Tessel.htm
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www.coolmath.com/tesspag1.htm
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations? ... the semi-regular tessellations? A semi-regular tessellation has two properties:
nrich.maths.org/4832
Therefore, there are only three regular tessellations (composed of the hexagon, square, and triangle), illustrated above (Ghyka 1977, p. ...
mathworld.wolfram.com/RegularTessellation.html mathworld.wolfram.com/RegularTessellation.html