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.
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.
Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?
Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.
Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.