Room 4 of 11 · Middle floor
Two Lengths
“Do all the pieces have to match?”
Lamp waiting
▶ Hear the storyteller tell this roomLook
A basket of blocks. Some short. Some long. A gap in the floor needs a bridge.
Try
Build the bridge from short and long blocks.
Notice
Try the experiment first. Then this will fill in.
What keeps this room working?
The two kinds of block keep their own sizes.
What would break this room?
If every piece is forced to be the same length.
Child-sized version
“Different pieces can belong together.”
Try to break the room
For grown-upsShow me the math
A whole can be built from parts of different sorts. In a bundle, directions along the base and directions along the fibre are different kinds of direction, and they must not be confused.
- Type distinction
- Pieces of different kinds are not interchangeable.
- Heterogeneous structure
- A whole made of parts of more than one sort.
- Base and fibre directions
- Two kinds of direction inside one space, each with its own role.