answer:Ding ding ding ding ding. You’ve just won Jeruba’s Weird Question of the Day lottery. Congratulations! I don’t think there is anything that would yield partially frozen ice cubes other than your clocking the freezing process and learning when to take them out to catch them when they’re hard on the outside and soft on the inside. Sort of like a three-minute egg timer for perfect soft-boiled eggs. But you could try fashioning a special ice cube tray. Using identical stacking trays, you could glue something onto the bottom of each cube mold that would stick down into the cube beneath and occupy its center. Something conical or cylindrical, probably plastic, maybe something you could find at a craft store. That way the centers would be empty. You could also try putting something into each ice cube mold that would serve as a spacer or place holder to keep water from filling the middle; something like a cherry tomato, for instance. But then of course you would have the problem of getting it out. Microwaving would probably work. You could also just put a dish or rectangular pan into the freezer with a very shallow depth of water in it, and that would give you a thin, flat sheet of ice that you could munch away at until it collapses. You might consider inserting a grid into it, such as cut-up pieces of a green plastic fruit basket from the produce section, to help the thin sheet hold its shape.