Games and Puzzles with GeoGebra

Diego Lieban, Elisabeth Bade, Nov 6, 2018

Playing and developing logic games. Initially, some games will be used to grasp basic rules and geometric properties like symmetry for instance. Then the students will be introduced to some Boolean logical features in order to develop their own games. Finally, going deep in math using some impossible puzzles to encourage students for argumentation processes.

Table of Contents

  1. Games
    1. GeoGemblo
    2. Lights Out Game - with target patterns
    3. Ajedrez
    4. Four-by-Four NIM
    5. Mastermind
    6. pentago
    7. Play HEX!
    8. Memory 60 cards
  2. Puzzles
    1. Getting some surprises with Renert School.
    2. Could you fit it?
    3. GeoGebra Pentominoes
    4. Deci-Blocks
    5. Square Puzzle
    6. Solve Rubik's Cube (solution guide inside)
    7. Arthur's puzzle
    8. Dissections
    9. Tetrominos
    10. Panel "Los Mutilados"
    11. Brazil_Flag
    12. Play first, conjecture then!
    13. 15 puzzle trick
    14. 5-Piece Puzzle
    15. 8-puzzle & 24-puzzle
    16. Truchet 3x3
  3. Challenges
    1. Flip Flop
    2. Chinese Match Puzzles 2 (7 puzzles)
    3. Chessboard Puzzle
    4. Desafio tabuleiro 6x6
    5. Desafio das caixas
    6. Jogo das Reflexões e Rotações
    7. Hexagonal Puzzle
    8. Desafio dos poliminós
    9. Four color challenge
    10. Painting circles
  4. Activities
    1. What is behind? (1)
    2. What is behind? (2)
    3. Copy of The Horse Illusion
    4. Solution of a sliding-block puzzle
    5. Jogo das Sequências
  5. Ideas to develop
    1. Blokus
    2. Blokus Trigon
    3. Inversé
    4. Rush hour
    5. Quarto
    6. Abalone
    7. Pentago
    8. Pentago Multiplayer
    9. Triovision
    10. Logifaces
  6. Students' Productions
    1. Greek_Flag
    2. Lebanon_Flag
    3. Lebanon_Flag 2
    4. Nigeria_Flag
    5. Nigeria_Flag 2
    6. Nigeria_Flag 3
    7. India_Flag J
    8. India_Flag J 2
    9. India_Flag S
    10. India_Flag S 2
    11. India_Flag S 3
    12. Slovakia_Flag
    13. Slovakia_Flag 2
    14. Slovakia_Flag 3
    15. Tanzania_Flag
    16. Tanzania_Flag 2
    17. Tanzania_Flag 3
    18. Indian_Flag J 3
    19. Tanzania_Flag 4
  7. Tessellation
    1. Elleni's Tessellation
    2. Fatima`s Tessellation
    3. Jibola's Tessellation
    4. Sam`s Tessellation
    5. Aydin (rainbow triangle)
    6. Fatima`s tile
    7. Jibola`s Mandala tile
    8. Seiraj Art
    9. Multiplying tiles
    10. Playing with symmetry
    11. Mirrors
    12. Joavan`s Mosaic
    13. triangle
    14. crazy reflected trangle
    15. Fatimah's mandala
    16. Mosaic
  8. References
    1. References

1.

Games

  • 1. GeoGemblo
  • 2. Lights Out Game - with target patterns
  • 3. Ajedrez
  • 4. Four-by-Four NIM
  • 5. Mastermind
  • 6. pentago
  • 7. Play HEX!
  • 8. Memory 60 cards

1.1.

GeoGemblo

Este juego es una adaptación libre del juego de tablero Gemblo.
GeoGemblo
– Diego Lieban

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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2.

Puzzles

  • 1. Getting some surprises with Renert School.
  • 2. Could you fit it?
  • 3. GeoGebra Pentominoes
  • 4. Deci-Blocks
  • 5. Square Puzzle
  • 6. Solve Rubik's Cube (solution guide inside)
  • 7. Arthur's puzzle
  • 8. Dissections
  • 9. Tetrominos
  • 10. Panel "Los Mutilados"
  • 11. Brazil_Flag
  • 12. Play first, conjecture then!
  • 13. 15 puzzle trick
  • 14. 5-Piece Puzzle
  • 15. 8-puzzle & 24-puzzle
  • 16. Truchet 3x3

2.1.

Getting some surprises with Renert School.

Getting some surprises with Renert School.
– Diego Lieban

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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3.

Challenges

  • 1. Flip Flop
  • 2. Chinese Match Puzzles 2 (7 puzzles)
  • 3. Chessboard Puzzle
  • 4. Desafio tabuleiro 6x6
  • 5. Desafio das caixas
  • 6. Jogo das Reflexões e Rotações
  • 7. Hexagonal Puzzle
  • 8. Desafio dos poliminós
  • 9. Four color challenge
  • 10. Painting circles

3.1.

Flip Flop

This is a reflection puzzle. [br][br]The left sandal is reflected across a line drawn between two points in the grid to make a right sandal. [br][br]Can you move A and B to find the line of reflection?[br][br]See if you're correct by pressing the Check button.
More GeoGebra at [url]mathhombre.blogspot.com[/url]
– John Golden

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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4.

Activities

  • 1. What is behind? (1)
  • 2. What is behind? (2)
  • 3. Copy of The Horse Illusion
  • 4. Solution of a sliding-block puzzle
  • 5. Jogo das Sequências

4.1.

What is behind? (1)

Move the point E, explore and discover it by yourself.
– Diego Lieban

4.2.

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4.3.

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4.4.

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4.5.

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5.

Ideas to develop

  • 1. Blokus
  • 2. Blokus Trigon
  • 3. Inversé
  • 4. Rush hour
  • 5. Quarto
  • 6. Abalone
  • 7. Pentago
  • 8. Pentago Multiplayer
  • 9. Triovision
  • 10. Logifaces

5.1.

Blokus

– Diego Lieban

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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5.10.

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6.

Students' Productions

The materials available here were produced by the Renert School's students inspired by "Los Mutilados" panel, in Chapter 2 of this book.

  • 1. Greek_Flag
  • 2. Lebanon_Flag
  • 3. Lebanon_Flag 2
  • 4. Nigeria_Flag
  • 5. Nigeria_Flag 2
  • 6. Nigeria_Flag 3
  • 7. India_Flag J
  • 8. India_Flag J 2
  • 9. India_Flag S
  • 10. India_Flag S 2
  • 11. India_Flag S 3
  • 12. Slovakia_Flag
  • 13. Slovakia_Flag 2
  • 14. Slovakia_Flag 3
  • 15. Tanzania_Flag
  • 16. Tanzania_Flag 2
  • 17. Tanzania_Flag 3
  • 18. Indian_Flag J 3
  • 19. Tanzania_Flag 4

6.1.

Greek_Flag

– Diego Lieban

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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6.10.

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6.11.

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6.12.

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6.13.

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6.14.

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6.15.

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6.16.

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6.17.

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6.18.

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6.19.

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7.

Tessellation

The tessellation artworks exhibited here are based on [url]http://afaithfulattempt.blogspot.ca[/url]. Squares, vectors and translation features were used to multiply the original tile. Students produced their own pattern using geometric elements to explore symmetry properties further.

  • 1. Elleni's Tessellation
  • 2. Fatima`s Tessellation
  • 3. Jibola's Tessellation
  • 4. Sam`s Tessellation
  • 5. Aydin (rainbow triangle)
  • 6. Fatima`s tile
  • 7. Jibola`s Mandala tile
  • 8. Seiraj Art
  • 9. Multiplying tiles
  • 10. Playing with symmetry
  • 11. Mirrors
  • 12. Joavan`s Mosaic
  • 13. triangle
  • 14. crazy reflected trangle
  • 15. Fatimah's mandala
  • 16. Mosaic

7.1.

Elleni's Tessellation

– Diego Lieban

7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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7.9.

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7.10.

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7.11.

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7.12.

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7.13.

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7.14.

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7.15.

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7.16.

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8.

References

http://ogeogebra.com.br/site/

  • 1. References

8.1.

References

[url=http://ogeogebra.com.br/site/]http://ogeogebra.com.br/site/[/url]
– Diego Lieban

Information