Join in this ongoing research. Build squares on the sides of a
triangle, join the outer vertices forming hexagons, build further
rings of squares and quadrilaterals, investigate.
Six circles around a central circle make a flower. Watch the flower
as you change the radii in this circle packing. Prove that with the
given ratios of the radii the petals touch and fit perfectly.
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?
Can you use LOGO to create this star pattern made from squares.
Only basic LOGO knowledge needed.
Join some regular octahedra, face touching face and one vertex of
each meeting at a point. How many octahedra can you fit around this
Can you use LOGO to create a systematic reproduction of a basic
design? An introduction to variables in a familiar setting.