Cannonballs and tomatoes -- The puzzle of the dozen spheres -- Fire hydrants and soccer players -- Thue's two attempts and Fejes-Tโoth's achievement -- Twelve's company, thirteen's a crowd -- Nets and knots -- Twisted boxes -- No dancing at this congress -- The race for the upper bound -- Right angles for round spaces -- Wobbly balls and hybrid stars -- Simplex, Cplex, and symbolic mathematics -- But is it really a proof? -- Beehives again ... This is not an epilogue