![]() Every glide reflection has a mirror line and translation distance. Still others repeat by a kind of reflection, called glide reflection, of which more below. Every reflection has a mirror line.Ī glide reflection is a mirror reflection followed by a translation parallel to the mirror. Every rotation has a rotocenter and an angle.Ī reflection fixes a mirror line in the plane and exchanges points from one side of the line with points on the other side of the mirror at the same distance from the mirror. ![]() Every translation has a direction and a distance.Ī rotation fixes one point (the rotocenter) and everything rotates by the same amount around that point. Notice the glide reflections lie on the same lines as the rotation centers. Symmetry group pmg should have glide reflections perpendicular to the mirror lines, and this pattern does, shown in the picture as the horizontal dashed arrows. The idea is that the design could be continued infinitely far to cover the whole plane (though of course we can only draw a small portion of it). Since there are no other reflection lines, the flowchart determines this pattern to have symmetry group pmg. A regular tessellation is formed by congruent regular polygons. A tessellation is a design using one ore more geometric shapes with no overlaps and no gaps. If a shape does not tessellate by itself, another shape can be added so that the two shapes together will tessellate. It is accompanied b a hand-out & an info-graphic.and assu. In order to tessellate a shape, the the sum of the angles around each point must be 360. glide-reflection Kangaroo tessellations, played in PHASE and in SYNCH, in ROYGBV order, 1234321. In a translation, everything is moved by the same amount and in the same direction. This video summarizes how to make a reflection tessellation, inspired by the works of MC Escher. TESSELLATIONS & other punography, Unique Animation using 4 different-but-similar glide-reflection Kangaroo tessellations. ![]() There are 2 other regular polygons that, by themselves, can be used to tessellate a space like the squares on graph paper. the single shape over and over again, there are no gaps between the squares. There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection. reuse the glide reflection slide to introduce tessellations. Any way of moving all the points in the plane such thatĪ) the relative distance between points stays the same andī) the relative position of the points stays the same.
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