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lesson tab active directions assignment

1.12 Discussion on Dimensionality

 

Answer the following questions in your Geometry notebook.  Check your answers using the link at the bottom of the page.

From Imagining Other Dimensions

  1. During what timeframe did the notion become accepted that more than three dimensions may exist?
  2. How many dimensions are in Flatland?
  3. Give an example of how art was influenced by the notion of higher dimensions.

From Dimensionality

  1. How is a triangle viewed in Flatland?
  2. How is the sphere viewed in Flatland?
  3. Has it been proven that 10-Dimensions exist?

From The Elegant Universe, Multidimensional Math

  1. What is a hypercube?
  2. What is the formula for hypervolume?

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