#50 Extend and Connect
Extend and Connect
Explore cumulative tales. They are made of compositions of correspondences:
This is the cat,
That killed the rat,
That ate the malt
That lay in the house that Jack built.
Experiment with musical functions, such as transpositions and changes of volume. For example, kids can sing the same song lower, but louder. Make changes with your voices, or apply functions in sound-editing software to a recording of your voices.
Try to compose a function with its inverse. What happens?
Experiment with composing functions as correspondences and functions as actions. For example, a correspondence function can find animal parents (puppy → dog), or the number of feet the animal has (dog → 4 feet). Compose these with the doubling function (an action): puppy → dog → 4 feet → 8 feet. A dog with eight feet? Drawing that will surprise even a baby!
Think of rules in your favorite board game as functions – for example, the random function of rolling a die. Then change rules by composition and observe what happens to the gameplay. For example, double all die rolls – will the game go faster? Or add spinner rolls to die rolls. Does it matter if you roll the die or spin the spinner first?
