What's that equation that spells a math word?

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I can't remember what it was, but I vaguely remember a semi-famous equation that when graphed spells a math word like "equation" or a number, does anyone know what that is?






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    up vote
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    down vote

    favorite
    1












    I can't remember what it was, but I vaguely remember a semi-famous equation that when graphed spells a math word like "equation" or a number, does anyone know what that is?






    graphing-functions







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      I can't remember what it was, but I vaguely remember a semi-famous equation that when graphed spells a math word like "equation" or a number, does anyone know what that is?






      graphing-functions







      share|cite|improve this question















      I can't remember what it was, but I vaguely remember a semi-famous equation that when graphed spells a math word like "equation" or a number, does anyone know what that is?






      graphing-functions




      graphing-functions






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      share|cite|improve this question













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      edited Aug 31 at 10:07

























      asked Aug 31 at 7:50









      GaneGoe

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          2 Answers
          2






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          up vote
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          I believe you may be looking for Tupper's self-referential formula :



          $$ frac12 < leftlfloortextmodleft( leftlfloor fracy17 rightrfloor 2^-17lfloor xrfloor - textmod(lfloor yrfloor, 17) , 2right)rightrfloor$$



          This formula plots any bitmap of 105 by 16 in the range $0 le x le 16$ and $kle yle k+16$, indexed by $k$.



          For a particular 543-digit number, it plots itself (upside down), but there exists a $k$ such as it plots equation, number or anything else you'd want to see.






          share|cite|improve this answer




















          • Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
            – GaneGoe
            Aug 31 at 11:57










          • Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
            – PbWO4
            Aug 31 at 12:08


















          up vote
          0
          down vote













          Tupper's self-referential formula plots everything. Try putting the following number



          136482976566244559390359140661337417922182668709100098868727163618594909007361384437005637585071948301480203965276962842283771756287269536406032417655574836359011273407153880333523536902453813590222936274182182290163898314896450000951393869908562551818293603602510059905602281310924661039838945877952727609861390763989185200731487639843473520857147939236750667690082723571420762557243830814908857404947394966095996633479748053940239333103409842618368



          into the number section of this website and click 'number to graph' bottom.






          share|cite|improve this answer






















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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            3
            down vote



            accepted










            I believe you may be looking for Tupper's self-referential formula :



            $$ frac12 < leftlfloortextmodleft( leftlfloor fracy17 rightrfloor 2^-17lfloor xrfloor - textmod(lfloor yrfloor, 17) , 2right)rightrfloor$$



            This formula plots any bitmap of 105 by 16 in the range $0 le x le 16$ and $kle yle k+16$, indexed by $k$.



            For a particular 543-digit number, it plots itself (upside down), but there exists a $k$ such as it plots equation, number or anything else you'd want to see.






            share|cite|improve this answer




















            • Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
              – GaneGoe
              Aug 31 at 11:57










            • Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
              – PbWO4
              Aug 31 at 12:08















            up vote
            3
            down vote



            accepted










            I believe you may be looking for Tupper's self-referential formula :



            $$ frac12 < leftlfloortextmodleft( leftlfloor fracy17 rightrfloor 2^-17lfloor xrfloor - textmod(lfloor yrfloor, 17) , 2right)rightrfloor$$



            This formula plots any bitmap of 105 by 16 in the range $0 le x le 16$ and $kle yle k+16$, indexed by $k$.



            For a particular 543-digit number, it plots itself (upside down), but there exists a $k$ such as it plots equation, number or anything else you'd want to see.






            share|cite|improve this answer




















            • Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
              – GaneGoe
              Aug 31 at 11:57










            • Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
              – PbWO4
              Aug 31 at 12:08













            up vote
            3
            down vote



            accepted







            up vote
            3
            down vote



            accepted






            I believe you may be looking for Tupper's self-referential formula :



            $$ frac12 < leftlfloortextmodleft( leftlfloor fracy17 rightrfloor 2^-17lfloor xrfloor - textmod(lfloor yrfloor, 17) , 2right)rightrfloor$$



            This formula plots any bitmap of 105 by 16 in the range $0 le x le 16$ and $kle yle k+16$, indexed by $k$.



            For a particular 543-digit number, it plots itself (upside down), but there exists a $k$ such as it plots equation, number or anything else you'd want to see.






            share|cite|improve this answer












            I believe you may be looking for Tupper's self-referential formula :



            $$ frac12 < leftlfloortextmodleft( leftlfloor fracy17 rightrfloor 2^-17lfloor xrfloor - textmod(lfloor yrfloor, 17) , 2right)rightrfloor$$



            This formula plots any bitmap of 105 by 16 in the range $0 le x le 16$ and $kle yle k+16$, indexed by $k$.



            For a particular 543-digit number, it plots itself (upside down), but there exists a $k$ such as it plots equation, number or anything else you'd want to see.







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered Aug 31 at 8:33









            PbWO4

            813




            813











            • Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
              – GaneGoe
              Aug 31 at 11:57










            • Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
              – PbWO4
              Aug 31 at 12:08

















            • Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
              – GaneGoe
              Aug 31 at 11:57










            • Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
              – PbWO4
              Aug 31 at 12:08
















            Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
            – GaneGoe
            Aug 31 at 11:57




            Is there any practical use for this kind of equation? Like does anyone use it for communications or computer graphics or anything like that?
            – GaneGoe
            Aug 31 at 11:57












            Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
            – PbWO4
            Aug 31 at 12:08





            Not that I'm aware of. I vaguely recall that $k$ is actually a simple encoding of the bitmap drawing, so it would be way more efficient to just send $k$ and decode it manually.
            – PbWO4
            Aug 31 at 12:08











            up vote
            0
            down vote













            Tupper's self-referential formula plots everything. Try putting the following number



            136482976566244559390359140661337417922182668709100098868727163618594909007361384437005637585071948301480203965276962842283771756287269536406032417655574836359011273407153880333523536902453813590222936274182182290163898314896450000951393869908562551818293603602510059905602281310924661039838945877952727609861390763989185200731487639843473520857147939236750667690082723571420762557243830814908857404947394966095996633479748053940239333103409842618368



            into the number section of this website and click 'number to graph' bottom.






            share|cite|improve this answer


























              up vote
              0
              down vote













              Tupper's self-referential formula plots everything. Try putting the following number



              136482976566244559390359140661337417922182668709100098868727163618594909007361384437005637585071948301480203965276962842283771756287269536406032417655574836359011273407153880333523536902453813590222936274182182290163898314896450000951393869908562551818293603602510059905602281310924661039838945877952727609861390763989185200731487639843473520857147939236750667690082723571420762557243830814908857404947394966095996633479748053940239333103409842618368



              into the number section of this website and click 'number to graph' bottom.






              share|cite|improve this answer
























                up vote
                0
                down vote










                up vote
                0
                down vote









                Tupper's self-referential formula plots everything. Try putting the following number



                136482976566244559390359140661337417922182668709100098868727163618594909007361384437005637585071948301480203965276962842283771756287269536406032417655574836359011273407153880333523536902453813590222936274182182290163898314896450000951393869908562551818293603602510059905602281310924661039838945877952727609861390763989185200731487639843473520857147939236750667690082723571420762557243830814908857404947394966095996633479748053940239333103409842618368



                into the number section of this website and click 'number to graph' bottom.






                share|cite|improve this answer














                Tupper's self-referential formula plots everything. Try putting the following number



                136482976566244559390359140661337417922182668709100098868727163618594909007361384437005637585071948301480203965276962842283771756287269536406032417655574836359011273407153880333523536902453813590222936274182182290163898314896450000951393869908562551818293603602510059905602281310924661039838945877952727609861390763989185200731487639843473520857147939236750667690082723571420762557243830814908857404947394966095996633479748053940239333103409842618368



                into the number section of this website and click 'number to graph' bottom.







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited Aug 31 at 8:32

























                answered Aug 31 at 8:27









                Henry

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