Nice piece.. I couldn't have said it better, except that to note that ice MELTS at 32°F (0°C). In the freezing process, the smaller the (pure) water droplet, the colder it can become before it freezes spontaneously at around -40°C.
Thanks for this amazing article @greenrun
At standard pressure, the 0 degree celsius is like the equilibrium temperature. In other words, at exactly 0 degrees C, the solid and liquid phases coexist at an equilibrium. If you increase it you'd have a solid (freezing). If you decrease you'd have a liquid phase. You can toggle between the two by either increasing or decreasing. So ice and a cup of water can exist in the room indefinitely at thermal equilibrium.