![]() ![]() Summary of Semi-Regular Tessellations: Semi-Regular Tessellations consist of more than one type of regular polygon. Octagon & Square Look familiar? Many floor tiles have these tessellating patterns. Hexagon & Triangle Can you think of other ways to arrange these hexagons and triangles? Hexagon & Triangle Square & Triangle Hexagon, Square & Triangle Octagon & Square Once you’ve explored each of the semi-regular tessellations, CLICK HERE to move on. (Remember that a regular polygon is a shape in which all of the sides and angles are equal.) How will two or more regular polygons fit together without overlapping or leaving gaps to create a Semi-Regular Tessellation? CLICK on each of the combinations below to see examples of these semi-regular tessellations. Semi-Regular Tessellations Semi-Regular Tessellations consist of more than one type of regular polygon. The only three regular polygons that will tessellate are the triangle, square, and hexagon. So the answer is NO.Īs it turns out, the only regular polygons that tessellate are: TRIANGLES SQUARES HEXAGONS Summary of Regular Tessellations: Regular Tessellations consist of only one type of regular polygon. Hexagon Tessellation in Natureĭoes an Octagon Tessellate? Gaps The shapes DO NOT fit together because there are gaps. So the answer is NO.ĭoes a Hexagon Tessellate? The shapes fit together without overlapping or leaving gaps, so the answer is YES. But, if you need some help, CLICK on each of the Regular Polygons below to determine which ones will tessellate and which ones won’t: Triangle Square Pentagon Hexagon Octagon Once you’ve discovered whether each of the regular polygons tessellate or not, CLICK HERE to move on.ĭoes a Triangle Tessellate? The shapes fit together without overlapping or leaving gaps, so the answer is YES.ĭoes a Square Tessellate? The shapes fit together without overlapping or leaving gaps, so the answer is YES.ĭoes a Pentagon Tessellate? Gap The shapes DO NOT fit together because there is a gap. Which regular polygons will fit together without overlapping or leaving gaps to create a Regular Tessellation? Maybe you can guess which ones will tessellate just by looking at them. Some examples are shown here: Triangle Square Pentagon Hexagon Octagon Do you remember what a regular polygon is? A regular polygon is a shape in which all of the sides and angles are equal. Regular Tessellations consist of only one type of regular polygon. ![]() Escher Create your own Tessellationģ What is a Tessellation? A Tessellation is a collection of shapes that fit together to cover a surface without overlapping or leaving gaps.īrick Walls Floor Tiles Checkerboards Honeycombs Textile Patterns Art Can you think of some more?ĥ Are you ready to learn more about Tessellations?ĬLICK on each topic to learn more… Regular Tessellations Semi-Regular Tessellations Symmetry in Tessellations Once you’ve explored each of the topics above, CLICK HERE to move on. This Exploration of Tessellations will guide you through the following: Definition of Tessellation Regular Tessellations Symmetry in Tessellations Tessellations Around Us Semi-Regular Tessellations View artistic tessellations by M.C.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |