Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles
Can you work out how these polygon pictures were drawn, and use that to figure out their angles?
Can you find triangles on a 9-point circle? Can you work out their angles?
Join pentagons together edge to edge. Will they form a ring?
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.
