![rotation tessellation rotation tessellation](https://2.bp.blogspot.com/-90Jk3NmHV7w/XOVqow_BloI/AAAAAAAAEQk/ne1g-aSxP-c5fGtkLIO6JYdJdtrJDHZ_QCLcBGAs/s1600/tess1.png)
This sketch lets you make alterations to that classic 60-120-90-90 kite tiling. What condition is necessary for the angles to work out? Is it sufficient? In this sketch, you set those numbers, then observe the effect on the other angles. We can pick the angles so that the kites blossom (tessellate around a point) at the vertices between congruent sides.
![rotation tessellation rotation tessellation](https://mrsthomasmathartconnection.weebly.com/uploads/1/4/3/0/14303862/1522380_orig.jpg)
The question of which kites tessellate by double rotation boils down to what happens at the joint vertices between the two (possibly) different edges. Step 1 & 2: Begin with a square and design from one corner of the square to an adjacent corner (do not draw diagonally). Nibbling Technique 3 For a rotational tessellation, polygons should have adjacent sides that are congruent. Which tessellate by side to side rotation and what would a mixed glide reflection/rotation tessellation look like. Step 5: This tessellation will require being rotated or flipped as it is traced. integrate math and art grid concept positive/negative shapes problem solving skills abstract thinking critical thinking intuitive sense spacial rotation. For some reason, this time around, I got interested in kites. Working with 2nd - 12th graders they are amazing for rigid motions because you use the motions to make the tiles, then to repeat the tiles in a pattern, then can see the motions in the finished tessellation.
![rotation tessellation rotation tessellation](https://4.bp.blogspot.com/-lngkshLP5Ss/UkuNlxicEgI/AAAAAAAAAgQ/BuQWfbbaaWs/s200/IMG_3264.jpg)
The visual aspect, the geometry, the connections with algebra, the historical context, the art connections with Escher. I've posted some previous work on this blog, have an old webpage with some good tessellation resources, and found a new source of beautiful Alhambra images to share with students.Īs a math topic I just love them. Our study of motions led to one of my favorite topics in all of mathematics: tessellations.