Trivia: Carol and her three daughters had a cat named Fluffy - who "disappeared" from the show after the first episode (honeymoon).
Trivia: During the ending credits, when showing the boys (with their real names), this is the only episode in all of season one where Barry Williams (Greg) looks to the side just before all the cast is shown together once again. In all other season one episodes, he continues looking straight ahead the whole time.
Trivia: This pilot episode "The Honeymoon" was filmed in 1968. The remaining episodes in season one were filmed starting in 1969. This would explain why the kids look much younger in this episode as opposed to the following episodes at the start of the series.
Answer: I think I remember that episode - but, more importantly, my mother always told me (and my siblings) to stop jumping/ stomping, running in the kitchen, and opening the oven door when a cake was baking... because these could make the cake fall. I believed my mother... and I, as a child, also caused a few "fallen cakes" because I didn't quite always listen (right away, anyway). I'm sure Alice's fallen cake episode was exaggerated, but cakes really CAN fall from stomps and opening the oven door too soon. Usually, it has something to do with the baking powder and how the air bubbles change during the baking process. Doing something that might cause the oven and cake inside to move/shake can suddenly change the air bubbles inside the cake and cause a collapse. I don't know all factors that have to occur for a cake to fall (collapse in the middle), but I've seen fallen cakes during my adulthood and... well... caused at least a few myself. Regarding Alice's cake falling each time one of the Brady kids stomped upstairs, I'm not sure if a series of falls could occur. IF it is possible, I think there would have to be way too much baking powder in the batter or some other inaccurate combination of ingredients that alter the chemical process during baking.
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