Wolfram|Alpha

Computing...

Input interpretation:

Doctor John Zoidberg-like curve  (popular curve)


Associated character:

Doctor Zoidberg


Equations:

Parametric equations:

x(t) = ((4619\/60 sin(t+11\/7)+109\/8 sin(2 t+11\/7)+9\/7 sin(3 t+11\/7)+89\/15 sin(4 t+11\/7)+5\/11 sin(5 t+11\/7)-9839\/41) theta(75 pi-t) theta(t-71 pi)+(-179\/8 sin(11\/7-2 t)+2101\/20 sin(t+11\/7)+5\/6 sin(3 t+23\/5)+65\/9 sin(4 t+33\/7)+33\/8 sin(5 t+8\/5)-698\/9) theta(71 pi-t) theta(t-67 pi)+(952\/15 sin(t+11\/7)+116\/21 sin(2 t+19\/12)+26\/5 sin(3 t+11\/7)+11\/9 sin(4 t+11\/7)+25\/11 sin(5 t+11\/7)+3071\/10) theta(67 pi-t) theta(t-63 pi)+(-4\/11 sin(17\/11-4 t)+657\/13 sin(t+33\/7)+29\/11 sin(2 t+47\/10)+17\/6 sin(3 t+14\/9)+2\/13 sin(5 t+22\/13)+15\/8 sin(6 t+33\/7)+16\/11 sin(7 t+47\/10)+5\/3 sin(8 t+47\/10)+24\/13 sin(9 t+33\/7)+9\/11 sin(10 t+47\/10)+6\/5 sin(11 t+47\/10)+17\/18 sin(12 t+47\/10)+4\/9 sin(13 t+75\/16)+1163\/3) theta(63 pi-t) theta(t-59 pi)+(-11\/13 sin(11\/7-6 t)-17\/10 sin(11\/7-4 t)+261\/7 sin(t+11\/7)+17\/3 sin(2 t+33\/7)+44\/19 sin(3 t+11\/7)+7\/9 sin(5 t+14\/9)+259\/3) theta(59 pi-t) theta(t-55 pi)+(-9\/11 sin(26\/17-23 t)-287\/9 sin(11\/7-5 t)-271\/9 sin(17\/11-3 t)+1551\/13 sin(t+17\/11)+685\/8 sin(2 t+17\/11)+535\/11 sin(4 t+14\/9)+311\/11 sin(6 t+14\/9)+1141\/60 sin(7 t+61\/13)+19\/9 sin(8 t+21\/11)+55\/8 sin(9 t+77\/17)+239\/12 sin(10 t+9\/2)+7\/9 sin(11 t+69\/16)+59\/6 sin(12 t+13\/10)+73\/24 sin(13 t+13\/11)+17\/12 sin(14 t+47\/11)+11\/16 sin(15 t+22\/5)+17\/6 sin(16 t+4\/3)+7\/11 sin(17 t+17\/13)+17\/9 sin(18 t+11\/9)+7\/4 sin(19 t+7\/5)+5\/4 sin(20 t+53\/12)+50\/13 sin(21 t+12\/11)+103\/13 sin(22 t+8\/7)+13\/5 sin(24 t+29\/7)+1\/2 sin(25 t+16\/5)+31\/16 sin(26 t+13\/3)+8\/7 sin(27 t+33\/8)+17\/14 sin(28 t+123\/31)+22\/9 sin(29 t+30\/7)+2\/3 sin(30 t+48\/13)+19\/12 sin(31 t+89\/22)+18\/11 sin(32 t+46\/11)+417\/8) theta(55 pi-t) theta(t-51 pi)+(-2\/7 sin(14\/9-10 t)-9\/13 sin(14\/9-8 t)-224\/11 sin(11\/7-3 t)+197\/11 sin(t+11\/7)+139\/14 sin(2 t+11\/7)+17\/12 sin(4 t+47\/10)+43\/12 sin(5 t+33\/7)+2\/5 sin(6 t+47\/10)+28\/19 sin(7 t+47\/10)+34\/33 sin(9 t+47\/10)+1\/4 sin(11 t+14\/3)+6\/19 sin(12 t+19\/12)-955\/8) theta(51 pi-t) theta(t-47 pi)+(-149\/28 sin(11\/7-5 t)-65\/6 sin(11\/7-3 t)-641\/12 sin(11\/7-t)+265\/9 sin(2 t+11\/7)+37\/5 sin(4 t+11\/7)+7931\/15) theta(47 pi-t) theta(t-43 pi)+(1810\/9 sin(t+11\/7)+1904\/5 sin(2 t+11\/7)+481\/24 sin(3 t+61\/13)+181\/30 sin(4 t+11\/7)+277\/10 sin(5 t+19\/12)+292\/11 sin(6 t+19\/12)+25\/7 sin(7 t+47\/10)+38\/5 sin(8 t+8\/5)+74\/11 sin(9 t+8\/5)+75\/13 sin(10 t+8\/5)+18\/11 sin(11 t+19\/12)+3109\/13) theta(43 pi-t) theta(t-39 pi)+(-19\/9 sin(11\/7-12 t)-21\/8 sin(11\/7-10 t)-1\/11 sin(17\/11-8 t)-32\/19 sin(14\/9-6 t)+4137\/22 sin(t+11\/7)+177\/14 sin(2 t+33\/7)+173\/14 sin(3 t+11\/7)+3\/2 sin(4 t+19\/12)+5\/8 sin(5 t+14\/9)+21\/8 sin(7 t+11\/7)+19\/10 sin(9 t+11\/7)+41\/15 sin(11 t+11\/7)+2104\/3) theta(39 pi-t) theta(t-35 pi)+(-5\/6 sin(17\/12-11 t)-7\/15 sin(5\/12-10 t)-32\/13 sin(7\/13-3 t)-139\/7 sin(2\/7-2 t)+2224\/15 sin(t+9\/10)+103\/10 sin(4 t+23\/5)+45\/44 sin(5 t+7\/3)+35\/9 sin(6 t+23\/8)+21\/10 sin(7 t+25\/11)+10\/11 sin(8 t+4\/5)+23\/15 sin(9 t+5\/7)+4\/5 sin(12 t+9\/2)+1339\/11) theta(35 pi-t) theta(t-31 pi)+(1069\/6 sin(t+18\/13)+643\/28 sin(2 t+11\/7)+255\/16 sin(3 t+11\/15)+247\/29 sin(4 t+45\/13)+53\/6 sin(5 t+9\/11)+14\/29 sin(6 t+31\/7)+21\/5 sin(7 t+19\/7)+53\/20 sin(8 t+3\/14)+24\/13 sin(9 t+24\/11)+sin(10 t+27\/14)+7\/8 sin(11 t+11\/9)+1\/3 sin(12 t+7\/4)+4512\/25) theta(31 pi-t) theta(t-27 pi)+(-73\/8 sin(1\/9-11 t)-101\/7 sin(7\/8-3 t)+3221\/13 sin(t+4\/5)+389\/8 sin(2 t+36\/11)+368\/11 sin(4 t+80\/27)+107\/4 sin(5 t+1\/4)+29\/2 sin(6 t+13\/4)+237\/19 sin(7 t+1\/6)+263\/17 sin(8 t+10\/3)+79\/9 sin(9 t+5\/14)+68\/9 sin(10 t+67\/22)+43\/5 sin(12 t+29\/9)-3139\/7) theta(27 pi-t) theta(t-23 pi)+(-7\/9 sin(9\/10-17 t)-22\/13 sin(86\/85-11 t)-43\/10 sin(1\/33-7 t)-64\/7 sin(2\/9-5 t)-19\/10 sin(7\/10-4 t)+2327\/9 sin(t+19\/5)+46 sin(2 t+7\/4)+52\/7 sin(3 t+31\/9)+44\/13 sin(6 t+17\/11)+35\/13 sin(8 t+23\/8)+45\/17 sin(9 t+9\/2)+35\/17 sin(10 t+34\/9)+17\/10 sin(12 t+17\/8)+3\/5 sin(13 t+41\/10)+15\/13 sin(14 t+41\/14)+10\/19 sin(15 t+139\/35)+7\/9 sin(16 t+24\/11)+7\/8 sin(18 t+3\/5)+9\/8 sin(19 t+6\/7)+7\/9 sin(20 t+25\/14)+17\/18 sin(21 t+7\/11)+9\/8 sin(22 t+22\/15)+3\/7 sin(23 t+11\/4)+7\/12 sin(24 t+26\/9)+3\/14 sin(25 t+26\/7)+12\/25 sin(26 t+62\/25)+7\/11 sin(27 t+64\/15)+1\/4 sin(28 t+95\/24)+7\/20 sin(29 t+3)+4\/9 sin(30 t+14\/5)+1\/9 sin(31 t+4)+1\/11 sin(32 t+9\/11)+3\/13 sin(33 t+8\/5)+1\/8 sin(34 t+20\/11)+2\/5 sin(35 t+2\/7)-16257\/22) theta(23 pi-t) theta(t-19 pi)+(-3\/8 sin(2\/7-5 t)-51\/19 sin(1\/28-3 t)-34\/7 sin(3\/8-2 t)+20\/9 sin(t+155\/52)+16\/17 sin(4 t+25\/7)+4\/9 sin(6 t+24\/7)+3\/10 sin(7 t+3\/7)+3\/11 sin(8 t+41\/11)+2\/11 sin(9 t+9\/19)+1\/8 sin(10 t+389\/97)+1\/6 sin(11 t+2\/7)+1\/6 sin(12 t+47\/16)+5910\/19) theta(19 pi-t) theta(t-15 pi)+(-4\/15 sin(12\/23-7 t)+24\/7 sin(t+21\/8)+15\/4 sin(2 t+3\/2)+31\/9 sin(3 t+7\/5)+8\/5 sin(4 t+25\/7)+13\/17 sin(5 t+1\/4)+2\/3 sin(6 t+46\/15)+5\/13 sin(8 t+3)+3\/7 sin(9 t+2\/5)+3\/10 sin(10 t+53\/15)+2\/7 sin(11 t+2\/5)+1\/3 sin(12 t+25\/7)+109\/2) theta(15 pi-t) theta(t-11 pi)+(-53\/14 sin(18\/13-4 t)+592\/7 sin(t+21\/10)+107\/27 sin(2 t+17\/4)+29\/13 sin(3 t+41\/11)+859\/12) theta(11 pi-t) theta(t-7 pi)+(287\/3 sin(t+19\/9)+16\/5 sin(2 t+43\/13)+57\/10 sin(3 t+21\/8)+33\/17 sin(4 t+31\/7)+1877\/6) theta(7 pi-t) theta(t-3 pi)+(-5\/8 sin(2\/3-15 t)-17\/8 sin(11\/10-12 t)-11\/6 sin(9\/13-9 t)-507\/10 sin(2\/9-3 t)-69\/13 sin(41\/27-2 t)+1813\/5 sin(t+11\/3)+63\/13 sin(4 t+25\/8)+63\/4 sin(5 t+23\/5)+122\/11 sin(6 t+49\/16)+32\/7 sin(7 t+19\/9)+37\/8 sin(8 t+12\/7)+20\/9 sin(10 t+17\/8)+43\/17 sin(11 t+1\/69)+31\/14 sin(13 t+21\/5)+5\/3 sin(14 t+32\/11)+66\/65 sin(16 t+53\/14)+760\/3) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t\/2))))\ny(t) = ((-13\/5 sin(11\/7-5 t)-51\/8 sin(11\/7-3 t)-28 sin(11\/7-t)+97\/6 sin(2 t+11\/7)+124\/25 sin(4 t+11\/7)-7811\/8) theta(75 pi-t) theta(t-71 pi)+(-76\/7 sin(13\/9-4 t)-69\/4 sin(43\/29-3 t)-50 sin(17\/11-2 t)+229\/12 sin(t+17\/11)+13\/8 sin(5 t+4\/5)-2538\/7) theta(71 pi-t) theta(t-67 pi)+(-17\/4 sin(11\/7-3 t)-217\/11 sin(11\/7-t)+79\/7 sin(2 t+11\/7)+11\/6 sin(4 t+11\/7)+15\/14 sin(5 t+33\/7)-79\/6) theta(67 pi-t) theta(t-63 pi)+(-164\/9 sin(11\/7-2 t)+845\/12 sin(t+11\/7)+7\/8 sin(3 t+18\/11)+89\/10 sin(4 t+33\/7)+34\/23 sin(5 t+47\/10)+105\/26 sin(6 t+33\/7)+8\/11 sin(7 t+14\/9)+1\/8 sin(8 t+17\/11)+25\/12 sin(9 t+11\/7)+13\/9 sin(10 t+11\/7)+33\/16 sin(11 t+14\/9)+13\/27 sin(12 t+14\/9)+2\/3 sin(13 t+14\/9)+2671\/13) theta(63 pi-t) theta(t-59 pi)+(-64\/65 sin(14\/9-6 t)-25\/9 sin(14\/9-5 t)-34\/9 sin(14\/9-4 t)-57\/14 sin(14\/9-3 t)-19\/14 sin(11\/7-2 t)+21\/2 sin(t+11\/7)+3133\/11) theta(59 pi-t) theta(t-55 pi)+(-25\/24 sin(23\/15-27 t)-5\/14 sin(14\/11-25 t)-2\/3 sin(16\/11-17 t)-55\/9 sin(40\/27-8 t)-352\/13 sin(14\/9-5 t)-1519\/38 sin(14\/9-3 t)+3329\/32 sin(t+47\/10)+297\/4 sin(2 t+14\/9)+1939\/38 sin(4 t+14\/9)+239\/9 sin(6 t+32\/21)+34\/9 sin(7 t+19\/15)+107\/6 sin(9 t+10\/7)+271\/10 sin(10 t+40\/9)+693\/13 sin(11 t+86\/19)+160\/7 sin(12 t+13\/9)+289\/16 sin(13 t+7\/6)+385\/48 sin(14 t+9\/7)+44\/9 sin(15 t+5\/4)+41\/11 sin(16 t+13\/10)+12\/13 sin(18 t+12\/5)+46\/9 sin(19 t+40\/9)+10\/9 sin(20 t+38\/25)+46\/31 sin(21 t+75\/16)+37\/16 sin(22 t+41\/10)+35\/11 sin(23 t+43\/10)+10\/13 sin(24 t+63\/16)+2\/3 sin(26 t+47\/13)+19\/7 sin(28 t+6\/5)+13\/10 sin(29 t+59\/13)+3\/2 sin(30 t+4\/3)+11\/10 sin(31 t+5\/7)+17\/13 sin(32 t+15\/4)-11101\/75) theta(55 pi-t) theta(t-51 pi)+(-3\/10 sin(14\/9-12 t)-29\/12 sin(11\/7-6 t)-38\/9 sin(11\/7-4 t)-59\/8 sin(11\/7-t)+183\/7 sin(2 t+11\/7)+125\/13 sin(3 t+11\/7)+31\/16 sin(5 t+19\/12)+4\/9 sin(7 t+11\/7)+3\/13 sin(8 t+47\/10)+64\/63 sin(9 t+14\/9)+3\/13 sin(10 t+33\/7)+1\/2 sin(11 t+19\/12)-11360\/13) theta(51 pi-t) theta(t-47 pi)+(-60\/11 sin(11\/7-4 t)-528\/31 sin(11\/7-3 t)-661\/55 sin(11\/7-2 t)-623\/3 sin(11\/7-t)+39\/8 sin(5 t+33\/7)-5871\/8) theta(47 pi-t) theta(t-43 pi)+(-43\/13 sin(14\/9-11 t)-45\/8 sin(11\/7-9 t)-41\/15 sin(14\/9-8 t)-57\/11 sin(14\/9-7 t)-157\/6 sin(11\/7-5 t)-1813\/6 sin(11\/7-t)+1997\/15 sin(2 t+11\/7)+89\/6 sin(3 t+47\/10)+19\/6 sin(4 t+23\/15)+191\/8 sin(6 t+11\/7)+191\/17 sin(10 t+19\/12)-7307\/9) theta(43 pi-t) theta(t-39 pi)+(-15\/8 sin(11\/7-12 t)-72\/73 sin(14\/9-11 t)-19\/9 sin(11\/7-10 t)-35\/11 sin(11\/7-9 t)-7\/11 sin(14\/9-8 t)-60\/11 sin(11\/7-7 t)-191\/13 sin(11\/7-5 t)-184\/5 sin(11\/7-3 t)-109\/10 sin(11\/7-2 t)-609\/2 sin(11\/7-t)+1\/6 sin(4 t+5\/4)+11\/5 sin(6 t+47\/10)-6582\/11) theta(39 pi-t) theta(t-35 pi)+(-11\/15 sin(6\/7-9 t)-47\/13 sin(26\/25-5 t)-67\/27 sin(13\/12-4 t)-633\/8 sin(3\/10-t)+251\/7 sin(2 t+9\/8)+123\/8 sin(3 t+64\/15)+23\/8 sin(6 t+22\/13)+26\/9 sin(7 t+23\/6)+14\/9 sin(8 t+3\/5)+19\/12 sin(10 t+9\/7)+25\/19 sin(11 t+13\/3)+11\/17 sin(12 t+7\/12)-5757\/11) theta(35 pi-t) theta(t-31 pi)+(-50\/3 sin(3\/4-3 t)+263\/10 sin(t+83\/28)+669\/13 sin(2 t+11\/5)+17 sin(4 t+13\/7)+67\/11 sin(5 t+19\/8)+11\/3 sin(6 t+1\/12)+38\/17 sin(7 t+9\/5)+51\/14 sin(8 t+5\/3)+49\/25 sin(9 t+41\/10)+17\/12 sin(10 t+7\/12)+53\/54 sin(11 t+24\/7)+5\/7 sin(12 t+7\/4)-10661\/26) theta(31 pi-t) theta(t-27 pi)+(-127\/10 sin(16\/17-7 t)-119\/9 sin(11\/9-5 t)-1191\/4 sin(1\/3-t)+735\/11 sin(2 t+2\/9)+287\/8 sin(3 t+61\/16)+504\/19 sin(4 t+17\/9)+73\/9 sin(6 t+9\/5)+62\/7 sin(8 t+14\/5)+32\/5 sin(9 t+1\/6)+7\/2 sin(10 t+19\/7)+19\/7 sin(11 t+1\/44)+167\/56 sin(12 t+51\/14)-12878\/17) theta(27 pi-t) theta(t-23 pi)+(-5\/12 sin(14\/15-32 t)-1\/18 sin(17\/13-31 t)-23\/11 sin(1\/6-19 t)-11\/9 sin(38\/25-18 t)-243\/61 sin(25\/17-8 t)-35\/9 sin(11\/21-7 t)-87\/7 sin(4\/5-6 t)-2249\/15 sin(1\/10-2 t)+1997\/10 sin(t+23\/12)+725\/13 sin(3 t+1)+67\/8 sin(4 t+9\/4)+216\/11 sin(5 t+23\/5)+18\/11 sin(9 t+32\/31)+48\/13 sin(10 t+19\/8)+211\/35 sin(11 t+16\/5)+36\/13 sin(12 t+64\/15)+30\/29 sin(13 t+8\/13)+20\/11 sin(14 t+28\/13)+11\/17 sin(15 t+37\/16)+5\/8 sin(16 t+23\/14)+4\/7 sin(17 t+14\/9)+91\/45 sin(20 t+14\/27)+47\/31 sin(21 t+8\/5)+6\/7 sin(22 t+29\/15)+8\/9 sin(23 t+53\/20)+13\/10 sin(24 t+89\/30)+8\/9 sin(25 t+39\/10)+7\/20 sin(26 t+97\/24)+4\/9 sin(27 t+18\/13)+7\/8 sin(28 t+45\/14)+2\/7 sin(29 t+42\/13)+3\/11 sin(30 t+22\/5)+8\/17 sin(33 t+4\/11)+5\/9 sin(34 t+18\/13)+3\/14 sin(35 t+12\/5)-3384\/11) theta(23 pi-t) theta(t-19 pi)+(-1\/38 sin(2\/11-7 t)-35\/11 sin(9\/14-t)+341\/85 sin(2 t+25\/14)+34\/11 sin(3 t+22\/21)+42\/43 sin(4 t+223\/56)+14\/15 sin(5 t+3\/4)+12\/23 sin(6 t+7\/2)+1\/7 sin(8 t+4)+2\/11 sin(9 t+9\/8)+2\/11 sin(10 t+73\/29)+1\/7 sin(11 t+1\/4)+2\/11 sin(12 t+74\/25)+2961\/20) theta(19 pi-t) theta(t-15 pi)+(-3\/11 sin(13\/25-12 t)-1\/3 sin(15\/29-10 t)-1\/9 sin(4\/3-8 t)-16\/9 sin(12\/13-4 t)+35\/18 sin(t+89\/19)+33\/8 sin(2 t+49\/16)+43\/14 sin(3 t+33\/13)+3\/10 sin(5 t+26\/11)+3\/10 sin(6 t+4\/11)+9\/17 sin(7 t+94\/27)+1\/5 sin(9 t+35\/11)+1\/4 sin(11 t+20\/7)+2917\/15) theta(15 pi-t) theta(t-11 pi)+(949\/15 sin(t+11\/3)+63\/11 sin(2 t+19\/9)+26\/7 sin(3 t+22\/5)+7\/8 sin(4 t+28\/13)+3715\/23) theta(11 pi-t) theta(t-7 pi)+(658\/9 sin(t+107\/27)+57\/10 sin(2 t+9\/5)+56\/13 sin(3 t+38\/9)+7\/6 sin(4 t+10\/11)+1681\/16) theta(7 pi-t) theta(t-3 pi)+(-9\/11 sin(13\/10-16 t)-14\/15 sin(2\/7-15 t)-12\/7 sin(3\/8-12 t)-29\/6 sin(5\/11-8 t)-80\/9 sin(5\/14-4 t)+3076\/7 sin(t+12\/5)+343\/18 sin(2 t+13\/3)+230\/17 sin(3 t+31\/8)+21\/4 sin(5 t+53\/21)+23\/10 sin(6 t+1\/5)+27\/7 sin(7 t+5\/12)+60\/17 sin(9 t+38\/9)+11\/8 sin(10 t+49\/16)+10\/7 sin(11 t+2\/3)+4\/7 sin(13 t+18\/5)+17\/12 sin(14 t+9\/7)+598\/9) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t\/2))))


Properties:

fictional character curve  |  Futurama curve