GeoTetris: Sequences of Rigid Motions

Steven C Silvestri, Nov 25, 2021

Table of Contents

  1. Start Menu
    1. How To Play
  2. Play Game
    1. Level One
    2. Level Two
    3. Level Three
    4. Level Four
    5. Level Five
  3. Creator Mode
    1. Creator Mode
  4. Discussion Questions
    1. Consider This

1.

Start Menu

  • 1. How To Play

1.1.

How To Play

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2.

Play Game

  • 1. Level One
  • 2. Level Two
  • 3. Level Three
  • 4. Level Four
  • 5. Level Five

2.1.

Level One

Describe a sequence of rigid motions that will map the preimage of the Tetris Piece onto its image.
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2.2.

–

2.3.

–

2.4.

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2.5.

–

3.

Creator Mode

  • 1. Creator Mode

3.1.

Creator Mode

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4.

Discussion Questions

  • 1. Consider This

4.1.

Consider This

Explain how the term congruence relates to GeoTetris.
For each level, do you think that there exist multiple sequences of rigid motions that map the preimage onto the image? Why or why not?
Do you think the order in which the sequence of rigid motions is performed matters? Why or why not?
GeoTetris allows the player to either rotate or translate a puzzle piece. Which transformation can be introduced into the game to remove one piece of each pair shown below? Explain why.
– Steven C Silvestri

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