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Gabriel's Horn

Scheduled Pinned Locked Moved The Lounge
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  • I Offline
    I Offline
    Ingo
    wrote on last edited by
    #1

    So, perhaps you know Gabriel's Horn (also called Torricelli's trumpet). It's a funny (virtual) object. Gabriels Horn is the surface of revolution of the function y = 1 / x about the x-axis for x >= 1. You can try to fill this horn, which is named after the archangel Gabriel (he has to blow it to annouce Judgement Day), with paint. If you take centimeter as measuring unit you can fill up Pi litres. So after filling in about 3.14 litres, it's full. There is no more space left. But: This amout of paint isn't enough to paint the surface. All paint on earth is not enough to fill the surface, cause the surface is infinite. Interest how to solve this puzzle? Take at look at wiki[^] or this site[^]. :cool: Well, I read a mathematical joke this morning and Gabriel's Horn came up to my mind. As it is really funny to think about that, I wrote it down, as nobody did before for the lounge as it seems.

    ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

    M T R R L 5 Replies Last reply
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    • I Ingo

      So, perhaps you know Gabriel's Horn (also called Torricelli's trumpet). It's a funny (virtual) object. Gabriels Horn is the surface of revolution of the function y = 1 / x about the x-axis for x >= 1. You can try to fill this horn, which is named after the archangel Gabriel (he has to blow it to annouce Judgement Day), with paint. If you take centimeter as measuring unit you can fill up Pi litres. So after filling in about 3.14 litres, it's full. There is no more space left. But: This amout of paint isn't enough to paint the surface. All paint on earth is not enough to fill the surface, cause the surface is infinite. Interest how to solve this puzzle? Take at look at wiki[^] or this site[^]. :cool: Well, I read a mathematical joke this morning and Gabriel's Horn came up to my mind. As it is really funny to think about that, I wrote it down, as nobody did before for the lounge as it seems.

      ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

      M Offline
      M Offline
      Mark_Wallace
      wrote on last edited by
      #2

      My decorator told me the same thing, when he handed me the bill for repainting my lounge.

      I wanna be a eunuchs developer! Pass me a bread knife!

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      • I Ingo

        So, perhaps you know Gabriel's Horn (also called Torricelli's trumpet). It's a funny (virtual) object. Gabriels Horn is the surface of revolution of the function y = 1 / x about the x-axis for x >= 1. You can try to fill this horn, which is named after the archangel Gabriel (he has to blow it to annouce Judgement Day), with paint. If you take centimeter as measuring unit you can fill up Pi litres. So after filling in about 3.14 litres, it's full. There is no more space left. But: This amout of paint isn't enough to paint the surface. All paint on earth is not enough to fill the surface, cause the surface is infinite. Interest how to solve this puzzle? Take at look at wiki[^] or this site[^]. :cool: Well, I read a mathematical joke this morning and Gabriel's Horn came up to my mind. As it is really funny to think about that, I wrote it down, as nobody did before for the lounge as it seems.

        ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

        T Offline
        T Offline
        TPFKAPB
        wrote on last edited by
        #3

        I always thought Gabriels horn was something you only saw at the most raucous Genesis Gigs.

        N 1 Reply Last reply
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        • T TPFKAPB

          I always thought Gabriels horn was something you only saw at the most raucous Genesis Gigs.

          N Offline
          N Offline
          NormDroid
          wrote on last edited by
          #4

          I had Gabriels horn this morning when the new girl started ;)

          Software Kinetics Dependable Software

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          • I Ingo

            So, perhaps you know Gabriel's Horn (also called Torricelli's trumpet). It's a funny (virtual) object. Gabriels Horn is the surface of revolution of the function y = 1 / x about the x-axis for x >= 1. You can try to fill this horn, which is named after the archangel Gabriel (he has to blow it to annouce Judgement Day), with paint. If you take centimeter as measuring unit you can fill up Pi litres. So after filling in about 3.14 litres, it's full. There is no more space left. But: This amout of paint isn't enough to paint the surface. All paint on earth is not enough to fill the surface, cause the surface is infinite. Interest how to solve this puzzle? Take at look at wiki[^] or this site[^]. :cool: Well, I read a mathematical joke this morning and Gabriel's Horn came up to my mind. As it is really funny to think about that, I wrote it down, as nobody did before for the lounge as it seems.

            ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

            R Offline
            R Offline
            Rage
            wrote on last edited by
            #5

            That is the exact opposite of the Wife's purse : It has a finite surface, but you can put as much money as you want in it, it is always empty.

            ~RaGE();

            I 1 Reply Last reply
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            • I Ingo

              So, perhaps you know Gabriel's Horn (also called Torricelli's trumpet). It's a funny (virtual) object. Gabriels Horn is the surface of revolution of the function y = 1 / x about the x-axis for x >= 1. You can try to fill this horn, which is named after the archangel Gabriel (he has to blow it to annouce Judgement Day), with paint. If you take centimeter as measuring unit you can fill up Pi litres. So after filling in about 3.14 litres, it's full. There is no more space left. But: This amout of paint isn't enough to paint the surface. All paint on earth is not enough to fill the surface, cause the surface is infinite. Interest how to solve this puzzle? Take at look at wiki[^] or this site[^]. :cool: Well, I read a mathematical joke this morning and Gabriel's Horn came up to my mind. As it is really funny to think about that, I wrote it down, as nobody did before for the lounge as it seems.

              ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

              R Offline
              R Offline
              Rajesh R Subramanian
              wrote on last edited by
              #6

              Extremely interesting. Thanks for the read. :)

              "Real men drive manual transmission" - Rajesh.

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              • R Rage

                That is the exact opposite of the Wife's purse : It has a finite surface, but you can put as much money as you want in it, it is always empty.

                ~RaGE();

                I Offline
                I Offline
                Ingo
                wrote on last edited by
                #7

                :laugh: Great!

                ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

                1 Reply Last reply
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                • I Ingo

                  So, perhaps you know Gabriel's Horn (also called Torricelli's trumpet). It's a funny (virtual) object. Gabriels Horn is the surface of revolution of the function y = 1 / x about the x-axis for x >= 1. You can try to fill this horn, which is named after the archangel Gabriel (he has to blow it to annouce Judgement Day), with paint. If you take centimeter as measuring unit you can fill up Pi litres. So after filling in about 3.14 litres, it's full. There is no more space left. But: This amout of paint isn't enough to paint the surface. All paint on earth is not enough to fill the surface, cause the surface is infinite. Interest how to solve this puzzle? Take at look at wiki[^] or this site[^]. :cool: Well, I read a mathematical joke this morning and Gabriel's Horn came up to my mind. As it is really funny to think about that, I wrote it down, as nobody did before for the lounge as it seems.

                  ------------------------------ Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

                  L Offline
                  L Offline
                  lewax00
                  wrote on last edited by
                  #8

                  We took a look at that in my calculus class a couple years ago, as an example for how something can be infinite in one property but finite on another (like the infinite summation of 1/2^n = 1 + 1/2 + 1/4 + 1/8 +... = 2). It's certainly interesting.

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