Symmetry

  • More Dicey Decisions
    problem

    More dicey decisions

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
  • Folium of Descartes
    problem

    Folium of Descartes

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.