Cake (firework) been blown off by the discharging stars). In a traditional cake, all the candles point upwards; a variant is called the "fan" or "angle" cake. Cakes are one of the most popular types of firework, as they can create spectacular and long-lasting effects from a single ignition while minimising safety concern. In the UK, the reclassification of aerial shells to Category 4 has popularised cakes as a method for achieving similar effects while staying within safety guidelines, particularly by firing multiple candles at the same time. Cakes vary greatly in size, weight and duration. Some last only a few seconds
Utilitarian cake-cutting the partner that values it the most, as in the example above. Similarly, WUM divisions can be found by giving each fraction of the cake to the partner for whom the ratio formula_24 is largest. This process is easy to carry out when the value functions are piecewise-constant, i.e. the cake can be divided to a finite number of pieces such that the value density of each piece is constant for all people. What happens when the value functions are general (not piecewise-constant)? Then, the simple procedure of "give each piece to the one which wants it the most" does