What Do You Know About Conway's Puzzle?

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What Do You Know About Conways Puzzle? - Quiz

Conway's puzzle (or Conway puzzle) is an intriguing mathematical puzzle or packing problem in which the player must construct a certain number of a particular shape from diverse blocks.
The puzzle—which was invented by John Horton Conway in the 20th century—is very popular today. And taking this quiz will educate you on Conway's puzzle and how to solve it.


Questions and Answers
  • 1. 

    What do you call the empty space in Conway’s puzzle? 

    • A.

      Space

    • B.

      Vacuum

    • C.

      Hole

    • D.

      Radius

    Correct Answer
    C. Hole
    Explanation
    In Conway's puzzle, the empty space is referred to as a "hole". This term is commonly used to describe an empty or vacant area, which fits the context of the puzzle. The other options, such as "space", "vacuum", and "radius", do not accurately describe the empty space in Conway's puzzle.

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  • 2. 

    What is the shape of Conway’s puzzle? 

    • A.

      Cubic

    • B.

      Cuboid

    • C.

      Rectangular

    • D.

      Square

    Correct Answer
    A. Cubic
    Explanation
    The correct answer is Cubic. This is because Conway's puzzle is a three-dimensional puzzle, and a cubic shape refers to an object that has equal length, width, and height. A cuboid is similar to a cube but has different dimensions for each side, a rectangular shape has different lengths for its sides, and a square is a two-dimensional shape. Therefore, the most appropriate shape to describe Conway's puzzle is cubic.

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  • 3. 

    Which of these popular puzzles is similar in shape to Conway’s puzzle?

    • A.

      Sudoku

    • B.

      Rubik's Cube

    • C.

      Fibonacci Number puzzles

    • D.

      Jigsaw

    • E.

      Sujiko

    • F.

      Think-a-Dot

    Correct Answer
    B. Rubik's Cube
    Explanation
    Rubik's Cube is similar in shape to Conway's puzzle because both are three-dimensional puzzles that involve manipulating different components to achieve a specific goal. In Rubik's Cube, the goal is to solve the cube by aligning the colors on each side, while in Conway's puzzle, the goal is to create a specific pattern of colored squares by following a set of rules. Both puzzles require logical thinking and problem-solving skills to achieve the desired outcome.

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  • 4. 

    Who invented Conway’s puzzle? 

    • A.

      John Conway

    • B.

      Dickinson Conway

    • C.

      Jessica Conway

    • D.

      Lewis Conway

    Correct Answer
    A. John Conway
    Explanation
    John Conway is the correct answer because he is the inventor of Conway's puzzle. The other options, Dickinson Conway, Jessica Conway, and Lewis Conway, are not associated with the invention of this puzzle.

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  • 5. 

    How many 1x1x3 blocks are in Conway’s puzzle? 

    • A.

      4

    • B.

      5

    • C.

      3

    • D.

      2

    Correct Answer
    C. 3
    Explanation
    In Conway's puzzle, each block is a 1x1x3 shape. The question asks how many of these blocks are in the puzzle. The correct answer is 3, indicating that there are three of these 1x1x3 blocks in the puzzle.

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  • 6. 

    How many cubic blocks can you find in Conway’s puzzle? 

    • A.

      2

    • B.

      1

    • C.

      4

    • D.

      3

    Correct Answer
    B. 1
    Explanation
    In Conway's puzzle, there is only one cubic block. The question is asking how many cubic blocks can be found, and the correct answer is 1.

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  • 7. 

    How many blocks are in a Conway’s puzzle box? 

    • A.

      20

    • B.

      15

    • C.

      18

    • D.

      10

    Correct Answer
    C. 18
    Explanation
    There are 18 blocks in a Conway's puzzle box.

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  • 8. 

    If you arranged all the blocks in Conway’s puzzle, what will be the shape of the box? 

    • A.

      10x10x10

    • B.

      2x2x2

    • C.

      5x5x5

    • D.

      1x1x1

    Correct Answer
    C. 5x5x5
    Explanation
    The shape of the box in Conway's puzzle will be 5x5x5. This means that the box will have 5 blocks arranged in each dimension - length, width, and height. The answer indicates that the blocks in the puzzle will form a cube with sides measuring 5 blocks each.

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  • 9. 

    In order to solve the Conway’s puzzle, which of these blocks needs to be placed so that exactly one of them appears in each 5x5x1 slice of the cube?

    • A.

      1x2x2

    • B.

      1x1x3

    • C.

      2x2x2

    • D.

      1×2×4

    Correct Answer
    B. 1x1x3
    Explanation
    To ensure that exactly one block appears in each 5x5x1 slice of the cube, we need a block that has a height of 1 and a width of 1, as well as a length of 3. The 1x1x3 block fits this criteria and can be placed in such a way that it covers the entire length of the slice while only occupying one position. The other blocks listed do not have the necessary dimensions to achieve this requirement.

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  • 10. 

    What is another name for Conway’s puzzle? 

    • A.

      Boxes-in-a-Block

    • B.

      Blocks-in-a-Box

    • C.

      Cubes-in-a-Box

    • D.

      Boxes-in-a-Cube

    Correct Answer
    B. Blocks-in-a-Box
    Explanation
    Conway's puzzle is another name for Blocks-in-a-Box.

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  • Current Version
  • Mar 18, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • May 11, 2018
    Quiz Created by
    AdeKoju
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