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Idea 12of 22Builds onDifferent buildings can share a view

Each view rules out more buildings

How many views do you need to build exactly what was drawn?

Today you'll discover

  • how many buildings fit one view
  • what each extra view does
  • which view to ask for next

Think firstOnly the front view: 3, 1, 1

With just this front view, can you build the exact building that was drawn?

Decide first, then press Next. Watch the number of buildings that fit as each view is added.

Down the left, a front view of columns 3, 1, 1, with the side and top views still question marks. A line counts 63 buildings that fit. The side view, 2 then 3, is added: 9 fit. The top view, an L of 4 squares, is added: only 1 fits.

See the whole ideathe big idea and the key word, in one place

The big idea

Each extra view rules out buildings; with enough information, only one building fits.

Buildings that fit

Front view only: 63 fit. Add the side view: 9. Add the top view: 1. Each view rules some out.

  1. Front63
  2. + Side9
  3. + Top1

Easy to get wrongThe back view never helps: it is the front view flipped. Ask for a side or top view instead.

Key word

enough information
enough views, or numbers, that only one object fits them

Ready to use it?

  • Say whether some views are enough to build from.
  • Choose the view that would help most.
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