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The Four 4's Game

Discussion in 'Forum Games' started by Nervous Rex, Aug 15, 2019.

  1. Nervous Rex

    Nervous Rex High-functioning autistic V.I.P Member

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    I'm going to create a few "recreational math" threads, to see if anyone's interested. This is the first.

    Starting at 0 create a formula that produces each integer.
    Use exactly four 4's (no more, no less) and no other digits.
    You may use any math operation you want - add, subtract, multiply, divide, powers, roots, factorial, ceiling, floor, etc.

    For example, you can use √, because writing it doesn't require any extra digits, but you can't use ∛, because it requires a 3.

    Here are a few to start us off:
    0 = 4 - 4 + 4 - 4
    1 = 4 * 4 / (4 * 4)
    2 = 4 * 4 / (4 + 4)

    Edit:
    Here's a Wikipedia article that lists some of the math operations used in the Four 4's game: Four fours - Wikipedia
     
    Last edited: Aug 21, 2019
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  2. tree

    tree Blue/Green Staff Member V.I.P Member

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  3. Vinca

    Vinca Speaking through Pictures V.I.P Member

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    0 = 4 - 4 + 4 - 4
     
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  4. Jeremiah

    Jeremiah Chaotic Neutral

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    3 = (4 * 4 - 4) / 4
     
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  5. Vinca

    Vinca Speaking through Pictures V.I.P Member

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    4 = (4 - 4) + √4 + √4
     
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  6. Jeremiah

    Jeremiah Chaotic Neutral

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    5 = √4 + √4 + 4 / 4
     
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  7. Vinca

    Vinca Speaking through Pictures V.I.P Member

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    6 = (4 + 4 + 4) / √4
     
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  8. Nervous Rex

    Nervous Rex High-functioning autistic V.I.P Member

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    7 = 4 + 4 - 4/4
     
  9. FreeDiver

    FreeDiver How long can you hold your breath? V.I.P Member

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    8 = 4 + 4 - 4 + 4
     
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  10. FreeDiver

    FreeDiver How long can you hold your breath? V.I.P Member

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    9 = 4 + 4 + 4/4
     
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  11. FreeDiver

    FreeDiver How long can you hold your breath? V.I.P Member

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    10 = 4 + √4 + √4 + √4
     
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  12. Nervous Rex

    Nervous Rex High-functioning autistic V.I.P Member

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    11 = 4! / ((√4)!) - 4/4

    When I played this game on paper by myself, I hit a wall and was completely stumped by one number. I wish I could remember what number that was.
     
  13. Vinca

    Vinca Speaking through Pictures V.I.P Member

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    12 = (4 * 4) - ( square root of 4 + square root of 4)

    (sorry about words instead of square root symbol...cant find it on my mobile phone)
     
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  14. Vinca

    Vinca Speaking through Pictures V.I.P Member

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    What do the exclamation marks represent?
     
  15. Crossbreed

    Crossbreed Neur-D Missionary ☝

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    Factorial. 4! = 4 x 3 x 2 x 1
     
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  16. Vinca

    Vinca Speaking through Pictures V.I.P Member

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    Ahhh! I never new that!! Thanks for explaining :):cherryblossom:
     
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  17. Crossbreed

    Crossbreed Neur-D Missionary ☝

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    That factorial is redundant.
     
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  18. Crossbreed

    Crossbreed Neur-D Missionary ☝

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    12 = (4 x 4!)/(4 x √4)
     
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  19. Nervous Rex

    Nervous Rex High-functioning autistic V.I.P Member

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    Oh, goodness. You're right. I use larger factorials regularly at work, so it didn't even occur to me to simplify.
     
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  20. FreeDiver

    FreeDiver How long can you hold your breath? V.I.P Member

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    I never knew that ether as well. In programming, the exclamation mark means to "invert" or "NOT" a boolean operation.
     
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