Many of the drawings of Dutch artist Maurits Cornelis (M.C.) Escher closely connect with the mathematical concepts of infinity and contradiction. Practicing Transformations Worksheet: Worksheet asks students to reflect specific shapes over horizontal and vertical axes, translate shapes, and rotate shapes. Escher and Tessellations FebruEschers Circle Limit I.
HEART TESSELLATION HOW TO
The design is composed entirely of equilateral triangles, all the same size, BUT she has drawn lines within some of the triangles to create secondary designs. Color Your Own Worksheets: Grid-filled pages that students can demonstrate how to draw translation, rotation, and reflection tessellations on.
An excellent example is this pattern by Alison Glass. It’s perfectly OK to draw lines inside your tessellating shapes, which may mean they don’t all look alike anymore. Hexagons (regular hexagons) will tessellate, as we know well from English paper piecing.įrom there it gets complicated as to which figures will tessellate and which will not, but to go on with practical information:.Quadrilaterals (4-sided shapes) all tessellate, and all can be divided into triangles, just by drawing from corner to corner.The regular polygons that will tesselate are: Draw a line between two corners on one of the long sides of the rectangle.
Here is a summary of more practical implications.Ī shape is said to tessellate if it can cover a plane without gaps, extending to infinity in all directions. Lets make our own tessellations Cut an index card in half, creating a 2.5' x 3' rectangle. I loved geometry in high school, but the theoretical stuff quickly gets beyond me. In addition to the practical way of designing tessellations presented last week by Jean Larson, there is a whole field of mathematical theory and practice related to tessellations.
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