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| | --[[User:Piphi|piphi]] ([[User talk:Piphi|talk]]) 13:52, 4 February 2020 (EST) | | --[[User:Piphi|piphi]] ([[User talk:Piphi|talk]]) 13:52, 4 February 2020 (EST) |
| − |
| |
| − | Recently I've been working on drawing the Firefox logo using [[Asymptote]], and just recently with a lot of help from [https://artofproblemsolving.com/community/user/sonone sonone] we finished it!
| |
| − |
| |
| − | ===More info===
| |
| − |
| |
| − | ====Inspiration====
| |
| − | I decided to draw the Firefox logo after seeing sonone's [https://artofproblemsolving.com/community/c68h2059229p14822284 submission] for the [https://aops.com/community/h2059229 Asymptote Design Comptetion]. Two of their submissions were Asymptote drawings of the browsers Safari and Chrome and since Firefox wasn't there I decided to draw it. :)
| |
| − |
| |
| − | ====Beginnings====
| |
| − | I drew the logo by copying a 128x128 Firefox logo into MS paint and finding the coordinates of each intersection to make the curves. [[Image:Firefox128.png|thumb|right|Firefox]] This resulted in the below image.
| |
| − | <asy>
| |
| − | //firefox
| |
| − | fill(Circle((64,64),30), purple);
| |
| − |
| |
| − | //fox belly
| |
| − | draw((76,82)..(66,38)..(35,66));
| |
| − | path a = (76,82)..(66,38)..(35,66);
| |
| − |
| |
| − | //fox lower mouth
| |
| − | draw((35,66)..(27,69)..(23,75));
| |
| − | path b = (35,66)..(27,69)..(23,75);
| |
| − |
| |
| − | //fox upper mouth
| |
| − | draw((23,75)..(32,79)..(44,76));
| |
| − | path c = (23,75)..(32,79)..(44,76);
| |
| − |
| |
| − | //fox middle nose
| |
| − | draw((44,76)..(54,74)..(63,75));
| |
| − | path d = (44,76)..(54,74)..(63,75);
| |
| − |
| |
| − | //fill(a--b--c--d--cycle);
| |
| − |
| |
| − | //fox upper nose
| |
| − | draw((63,75)..(53,79.5)..(46,84)..(41,89)..(32,92));
| |
| − | path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92);
| |
| − |
| |
| − | //fox left ear
| |
| − | draw((32,92)..(29,99)..(29,106));
| |
| − | path f = (32,92)..(29,99)..(29,106);
| |
| − |
| |
| − | //fox left back
| |
| − | draw((29,106)..(14,38)..(64,9));
| |
| − | path g = (29,106)..(14,38)..(64,9);
| |
| − |
| |
| − | //fox right back
| |
| − | draw((64,9)..(113,35)..(105,100));
| |
| − | path h = (64,9)..(113,35)..(105,100);
| |
| − |
| |
| − | // fox outer part of inner tail
| |
| − | draw((76,82)..(96,70)..(96,49));
| |
| − | path i = (76,82)..(96,70)..(96,49);
| |
| − |
| |
| − | // fox upper belly
| |
| − | draw((39,59)..(63,38)..(96,49)..(111,81));
| |
| − | path j = (39,59)..(63,38)..(96,49)..(111,81);
| |
| − |
| |
| − | // fox middle belly
| |
| − | draw((111,81)..(108,92)..(105,100));
| |
| − | path k = (111,81)..(108,92)..(105,100);
| |
| − |
| |
| − | // fox lower chin
| |
| − | draw((39,59)..(45,67)..(58,70));
| |
| − | path l = (39,59)..(45,67)..(58,70);
| |
| − |
| |
| − | // fox snout
| |
| − | draw((58,70)..(60,71)..(63,75));
| |
| − | path m = (58,70)..(60,71)..(63,75);
| |
| − |
| |
| − | //fox outer right ear
| |
| − | draw((32,92)..(37,98)..(45,102));
| |
| − | path n = (32,92)..(37,98)..(45,102);
| |
| − |
| |
| − | //fox inner right ear
| |
| − | draw((45,102)..(44,95)..(46,84));
| |
| − | path o = (45,102)..(44,95)..(46,84);
| |
| − |
| |
| − | // fox middle belly
| |
| − | draw((8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124));
| |
| − | path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124);
| |
| − |
| |
| − | // fox upper left tail
| |
| − | draw((81,124)..(68,112)..(62,94));
| |
| − | path q = (81,124)..(68,112)..(62,94);
| |
| − |
| |
| − |
| |
| − | //fill(c--d--e--f--g--cycle, orange);
| |
| − |
| |
| − | shipout(bbox(lightgrey+3mm,FillDraw(lightgrey)));
| |
| − | </asy>
| |
| − |
| |
| − | But then I encountered a small problem, I had no idea how to paint it!
| |
| − |
| |
| − | ====Continuation====
| |
| − | So that's when I asked sonone to help me color it. I found a nice function from [https://artofproblemsolving.com/community/c68h564416p3303712 here] (which I later used to draw in inner circle). But sonone found a better function to help us and they also fixed the curves up a bit. They then drew a part of the fox using that function.
| |
| − |
| |
| − | <asy>
| |
| − | //firefox
| |
| − | fill(Circle((64,64),30), purple);
| |
| − |
| |
| − | //fox belly
| |
| − | //draw((76,82)..(66,38)..(35,66),red);
| |
| − | path a = (76,82)..(66,38)..(35,66);
| |
| − |
| |
| − | //fox lower mouth
| |
| − | draw((35,66)..(27,69)..(23,75));
| |
| − | path b = (35,66)..(27,69)..(23,75);
| |
| − |
| |
| − | //fox upper mouth
| |
| − | draw((23,75)..(32,79)..(44,76));
| |
| − | path c = (23,75)..(32,79)..(44,76);
| |
| − |
| |
| − | //fox middle nose
| |
| − | draw((44,76)..(54,74)..(63,75));
| |
| − | path d = (44,76)..(54,74)..(63,75);
| |
| − |
| |
| − | //fox upper nose
| |
| − | draw((63,75)..(53,79.5)..(46,84)..(41,89)..(32,92));
| |
| − | path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92);
| |
| − |
| |
| − | //fox left ear
| |
| − | draw((32,92)..(29,99)..(29,106));
| |
| − | path f = (32,92)..(29,99)..(29,106);
| |
| − |
| |
| − | //fox left back
| |
| − | draw((29,106)..(14,38)..(64,9));
| |
| − | path g = (29,106)..(14,38)..(64,9);
| |
| − |
| |
| − | //fox right back
| |
| − | draw((64,9)..(113,35)..(105,100));
| |
| − | path h = (64,9)..(113,35)..(105,100);
| |
| − |
| |
| − | // fox outer part of inner tail
| |
| − | draw((76,82)..(96,70)..(96,49));
| |
| − | path i = (76,82)..(96,70)..(96,49);
| |
| − |
| |
| − | // fox upper belly
| |
| − | //draw((39,59)..(63,38)..(96,49)..(111,81),orange);
| |
| − | path j = (39,59)..(63,38)..(96,49)..(111,81);
| |
| − |
| |
| − | // fox middle belly
| |
| − | draw((111,81)..(108,92)..(105,100));
| |
| − | path k = (111,81)..(108,92)..(105,100);
| |
| − |
| |
| − | // fox lower chin
| |
| − | draw((39,59)..(45,67)..(58,70));
| |
| − | path l = (58,70)..(45,67)..(39,59);
| |
| − |
| |
| − | // fox snout
| |
| − | draw((58,70)..(60,71)..(63,75));
| |
| − | path m = (63,75)..(60,71)..(58,70);
| |
| − |
| |
| − | //fox outer right ear
| |
| − | draw((32,92)..(37,98)..(45,102));
| |
| − | path n = (32,92)..(37,98)..(45,102);
| |
| − |
| |
| − | //fox inner right ear
| |
| − | draw((45,102)..(44,95)..(46,84));
| |
| − | path o = (45,102)..(44,95)..(46,84);
| |
| − |
| |
| − | // fox middle belly
| |
| − | draw((8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124));
| |
| − | path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124);
| |
| − |
| |
| − | // fox upper left tail
| |
| − | draw((81,124)..(68,112)..(62,94));
| |
| − | path q = (81,124)..(68,112)..(62,94);
| |
| − |
| |
| − | // updated belly
| |
| − | draw((76,82)..(65,40)..(39,59));
| |
| − | path aA=(39,59)..(65,40)..(76,82);
| |
| − |
| |
| − | //updated fox upper belly
| |
| − | draw((111,81)..(96,49)..(47,43)..(35,66));
| |
| − | path jJ=(111,81)..(96,49)..(47,43)..(35,66);
| |
| − |
| |
| − | // updated fox upper belly extra
| |
| − | draw((96,49)..(47,43)..(35,66),red);
| |
| − | path jJ1=(96,49)..(46.5,43.5)..(35,66);
| |
| − |
| |
| − | picture middle_shade;
| |
| − | path one=aA--i--jJ1--b--c--d--m--l--cycle;
| |
| − | pen[][] firefox1={{yellow+.3*orange,yellow+orange,orange}};
| |
| − | latticeshade(middle_shade,rotate(90)*one,firefox1);
| |
| − | add(rotate(-90)*middle_shade);
| |
| − |
| |
| − | shipout(bbox(lightgrey+3mm,FillDraw(lightgrey)));
| |
| − | </asy>
| |
| − |
| |
| − | They then also drew more of the fox.
| |
| − | <asy>
| |
| − | //firefox
| |
| − | fill(Circle((64,64),30), purple);
| |
| − |
| |
| − | //fox belly
| |
| − | //draw((76,82)..(66,38)..(35,66),red);
| |
| − | path a = (76,82)..(66,38)..(35,66);
| |
| − |
| |
| − | //fox lower mouth
| |
| − | draw((35,66)..(27,69)..(23,75));
| |
| − | path b = (35,66)..(27,69)..(23,75);
| |
| − |
| |
| − | //fox upper mouth
| |
| − | draw((23,75)..(32,79)..(44,76));
| |
| − | path c = (23,75)..(32,79)..(44,76);
| |
| − |
| |
| − | //fox middle nose
| |
| − | draw((44,76)..(54,74)..(63,75));
| |
| − | path d = (44,76)..(54,74)..(63,75);
| |
| − |
| |
| − | //fox upper nose
| |
| − | draw((63,75)..(53,79.5)..(46,84)..(41,89)..(32,92));
| |
| − | path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92);
| |
| − |
| |
| − | //fox left ear
| |
| − | draw((32,92)..(29,99)..(29,106));
| |
| − | path f = (32,92)..(29,99)..(29,106);
| |
| − |
| |
| − | //fox left back
| |
| − | draw((29,106)..(14,38)..(64,9));
| |
| − | path g = (29,106)..(14,38)..(64,9);
| |
| − |
| |
| − | //fox right back
| |
| − | draw((64,9)..(113,35)..(105,100));
| |
| − | path h = (64,9)..(113,35)..(105,100);
| |
| − |
| |
| − | // fox outer part of inner tail
| |
| − | draw((76,82)..(96,70)..(96,49));
| |
| − | path i = (76,82)..(96,70)..(96,49);
| |
| − |
| |
| − | // fox upper belly
| |
| − | //draw((39,59)..(63,38)..(96,49)..(111,81),orange);
| |
| − | path j = (39,59)..(63,38)..(96,49)..(111,81);
| |
| − |
| |
| − | // fox middle belly
| |
| − | draw((111,81)..(108,92)..(105,100));
| |
| − | path k = (105,100)..(108,92)..(111,81);
| |
| − |
| |
| − | // fox lower chin
| |
| − | draw((39,59)..(45,67)..(58,70));
| |
| − | path l = (58,70)..(45,67)..(39,59);
| |
| − |
| |
| − | // fox snout
| |
| − | draw((58,70)..(60,71)..(63,75));
| |
| − | path m = (63,75)..(60,71)..(58,70);
| |
| − |
| |
| − | //fox outer right ear
| |
| − | draw((32,92)..(37,98)..(45,102));
| |
| − | path n = (32,92)..(37,98)..(45,102);
| |
| − |
| |
| − | //fox inner right ear
| |
| − | draw((45,102)..(44,95)..(46,84));
| |
| − | path o = (45,102)..(44,95)..(46,84);
| |
| − |
| |
| − | // fox middle belly
| |
| − | draw((8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124));
| |
| − | path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124);
| |
| − |
| |
| − | // fox upper left tail
| |
| − | draw((81,124)..(68,112)..(62,94));
| |
| − | path q = (81,124)..(68,112)..(62,94);
| |
| − |
| |
| − | // updated belly
| |
| − | draw((76,82)..(65,40)..(39,59));
| |
| − | path aA=(39,59)..(65,40)..(76,82);
| |
| − |
| |
| − | //updated fox upper belly
| |
| − | draw((111,81)..(96,49)..(47,43)..(35,66));
| |
| − | path jJ=(111,81)..(96,49)..(47,43)..(35,66);
| |
| − |
| |
| − | // updated fox upper belly extra
| |
| − | draw((96,49)..(47,43)..(35,66),red);
| |
| − | path jJ1=(96,49)..(46.5,43.5)..(35,66);
| |
| − |
| |
| − | draw((29,106)..(9.3,72)..(14,38));
| |
| − | path g1=(29,106)..(9.3,72)..(14,38);
| |
| − |
| |
| − | draw((8,64)..(39,17)..(111,81));
| |
| − | path p1=(8,64)..(39,17)..(111,81);
| |
| − |
| |
| − | picture ms;
| |
| − | path one=aA--i--jJ1--b--c--d--m--l--cycle;
| |
| − | pen[][] firefox1={{yellow+.3*orange,yellow+orange,orange+.5*red}};
| |
| − | latticeshade(ms,rotate(90)*one,firefox1);
| |
| − | add(rotate(-90)*ms);
| |
| − |
| |
| − | picture bs;
| |
| − | path two=jJ--b--c--d--e--f--g1--p1--cycle;
| |
| − | pen[][] firefox1={{yellow+.3*orange,yellow+orange,red}};
| |
| − | latticeshade(bs,rotate(120)*two,firefox1);
| |
| − | add(rotate(-120)*bs);
| |
| − |
| |
| − | picture right_ear_shade;
| |
| − | path two=n--o--(46,84)..(41,89)..(32,92)--cycle;
| |
| − | pen[][] firefox2={{yellow+.5*orange,orange+yellow,orange}};
| |
| − | latticeshade(right_ear_shade,rotate(90)*two,firefox2);
| |
| − | add(rotate(-90)*right_ear_shade);
| |
| − |
| |
| − | shipout(bbox(lightgrey+3mm,FillDraw(lightgrey)));
| |
| − | </asy>
| |
| − |
| |
| − | Then I learned how to use this function, I fixed the colors of the image above and colored the rest of the image!
| |
| − |
| |
| − | Here is the final drawing:
| |
| − | <asy>
| |
| − | /**
| |
| − | * Firefox
| |
| − | *
| |
| − | * Made by piphi and sonone
| |
| − | *
| |
| − | * For more information go to the link below.
| |
| − | * https://artofproblemsolving.com/wiki/index.php/User_talk:Piphi#Firefox_Logo
| |
| − | */
| |
| − | path circ = Circle((64,64),30)--cycle;
| |
| − |
| |
| − | path upper = (111,81)..(102,98)..(95,106)..(87,115)..(81,124);
| |
| − | path q = (81,124)..(68,112)..(62,94);
| |
| − | path i = (76,82)..(96,70)..(96,49);
| |
| − | path ll = (111,81)..(106,61)..(96,49);
| |
| − |
| |
| − | picture highest_tail_shade;
| |
| − | path two=upper--q--i--ll--cycle;
| |
| − | pen[][] firefox2={{rgb(255,242,77),rgb(255,219,63),rgb(251,122,83)}};
| |
| − | latticeshade(highest_tail_shade,rotate(110)*two,firefox2);
| |
| − | add(rotate(-110)*highest_tail_shade);
| |
| − |
| |
| − | void fillmyway(picture pic=currentpicture,pair C,path P,real[] r,pen[] p,int n=100)
| |
| − | {
| |
| − | int m=r.length;
| |
| − | for(int k=n;k>0;--k)
| |
| − | {
| |
| − | real[] g(real rr)
| |
| − | {
| |
| − | real qq=70,ss=0; real[] col={0,0,0};
| |
| − | for(int kk=0;kk<r.length-1;++kk)
| |
| − | {
| |
| − | real h=r[kk+1]-r[kk];
| |
| − | for (real t=0.05;t<1;t+=0.1)
| |
| − | {
| |
| − | real rt=r[kk]+t*h;
| |
| − | col+=exp(-qq*(rr-rt)^2)*h*((1-t)*colors(rgb(p[kk]))+t*colors(rgb(p[kk+1])));
| |
| − | ss+=exp(-qq*(rr-rt)^2)*h;
| |
| − | }
| |
| − | }
| |
| − | return col/ss;
| |
| − | }
| |
| − | real[] col=g(k/n);
| |
| − | unfill(shift(C)*scale(k/n)*shift(-C)*P);
| |
| − | fill(shift(C)*scale(k/n)*shift(-C)*P,rgb(col[0],col[1],col[2]));
| |
| − | }
| |
| − | }
| |
| − |
| |
| − | pen[] p={rgb(109,93,228),rgb(104,88,218),rgb(167,66,233),rgb(188,59,231),rgb(170,51,216)};
| |
| − | real[] r={0,0.45,0.8,0.9,1};
| |
| − |
| |
| − | fillmyway((50,45),circ,r,p);
| |
| − |
| |
| − | //fox belly
| |
| − | path a = (76,82)..(66,38)..(35,66);
| |
| − |
| |
| − | //fox lower mouth
| |
| − | path b = (35,66)..(27,69)..(23,75);
| |
| − |
| |
| − | //fox upper mouth
| |
| − | path c = (23,75)..(32,79)..(44,76);
| |
| − |
| |
| − | //fox middle nose
| |
| − | path d = (44,76)..(54,74)..(63,75);
| |
| − |
| |
| − | //fox upper nose
| |
| − | path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92);
| |
| − |
| |
| − | //fox left ear
| |
| − | path f = (32,92)..(29,99)..(29,106);
| |
| − |
| |
| − | //fox left back
| |
| − | path g = (29,106)..(14,38)..(64,9);
| |
| − |
| |
| − | //fox right back
| |
| − | path h = (64,9)..(113,35)..(105,100);
| |
| − | path hh = (105,100)..(113,35)..(64,9);
| |
| − |
| |
| − | // fox outer part of inner tail
| |
| − | path i = (76,82)..(96,70)..(96,49);
| |
| − |
| |
| − | // fox upper belly
| |
| − | path j = (39,59)..(63,38)..(96,49)..(111,81);
| |
| − |
| |
| − | // fox middle belly extra
| |
| − | path k = (105,100)..(108,92)..(111,81);
| |
| − |
| |
| − | path kk = (111,81)..(108,92)..(105,100);
| |
| − |
| |
| − | // fox lower chin
| |
| − | path l = (58,70)..(45,67)..(39,59);
| |
| − |
| |
| − | // fox snout
| |
| − | path m = (63,75)..(60,71)..(58,70);
| |
| − |
| |
| − | //fox outer right ear
| |
| − | path n = (32,92)..(37,98)..(45,102);
| |
| − |
| |
| − | //fox inner right ear
| |
| − | path o = (45,102)..(44,95)..(46,84);
| |
| − |
| |
| − | // fox middle belly
| |
| − | path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124);
| |
| − | path upper = (111,81)..(102,98)..(95,106)..(87,115)..(81,124);
| |
| − |
| |
| − | // fox upper left tail
| |
| − | path q = (81,124)..(68,112)..(62,94);
| |
| − |
| |
| − | // updated belly
| |
| − | path aA=(39,59)..(65,40)..(76,82);
| |
| − |
| |
| − | //updated fox upper belly
| |
| − | path jJ=(111,81)..(96,49)..(47,43)..(35,66);
| |
| − |
| |
| − | path ll = (111,81)..(106,61)..(96,49);
| |
| − |
| |
| − | // updated fox upper belly extra
| |
| − | path jJ1=(96,49)..(46.5,43.5)..(35,66);
| |
| − |
| |
| − | path g1=(29,106)..(9.3,72)..(14,38);
| |
| − |
| |
| − | path p1=(8,64)..(39,17)..(111,81);
| |
| − |
| |
| − | picture ms;
| |
| − | path one=aA--i--jJ1--b--c--d--m--l--cycle;
| |
| − | pen[][] firefox1={{yellow+orange,rgb(255,172,28),orange+.5*red}};
| |
| − | latticeshade(ms,rotate(90)*one,firefox1);
| |
| − | add(rotate(-90)*ms);
| |
| − |
| |
| − | picture bs;
| |
| − | path two=jJ--b--c--d--e--f--g1--p1--cycle;
| |
| − | pen[][] firefox1={{rgb(255,227,67),rgb(255,149,19),rgb(255,92,50),rgb(255,48,82)}};
| |
| − | latticeshade(bs,rotate(130)*two,firefox1);
| |
| − | add(rotate(-130)*bs);
| |
| − |
| |
| − | picture right_ear_shade;
| |
| − | path two=n--o--(46,84)..(41,89)..(32,92)--cycle;
| |
| − | pen[][] firefox2={{rgb(255,189,70),rgb(255,155,59),rgb(255,80,56)}};
| |
| − | latticeshade(right_ear_shade,rotate(130)*two,firefox2);
| |
| − | add(rotate(-130)*right_ear_shade);
| |
| − |
| |
| − |
| |
| − | picture lowest_tail_shade;
| |
| − | path two=p1--kk--hh--(64,9)..(25,24)..(8,64)--cycle;
| |
| − | pen[][] firefox2={{rgb(254,228,78),rgb(250,129,85),rgb(229,11,113)}};
| |
| − | latticeshade(lowest_tail_shade,rotate(110)*two,firefox2);
| |
| − | add(rotate(-110)*lowest_tail_shade);
| |
| − |
| |
| − | clip(currentpicture, g--h--(81,124)--cycle);
| |
| − |
| |
| − | shipout(bbox(lightgrey+3mm,FillDraw(lightgrey)));
| |
| − | </asy>
| |
| | | | |
| | == Firefox Logo == | | == Firefox Logo == |
![[asy] //firefox fill(Circle((64,64),30), purple); //fox belly draw((76,82)..(66,38)..(35,66)); path a = (76,82)..(66,38)..(35,66); //fox lower mouth draw((35,66)..(27,69)..(23,75)); path b = (35,66)..(27,69)..(23,75); //fox upper mouth draw((23,75)..(32,79)..(44,76)); path c = (23,75)..(32,79)..(44,76); //fox middle nose draw((44,76)..(54,74)..(63,75)); path d = (44,76)..(54,74)..(63,75); //fill(a--b--c--d--cycle); //fox upper nose draw((63,75)..(53,79.5)..(46,84)..(41,89)..(32,92)); path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92); //fox left ear draw((32,92)..(29,99)..(29,106)); path f = (32,92)..(29,99)..(29,106); //fox left back draw((29,106)..(14,38)..(64,9)); path g = (29,106)..(14,38)..(64,9); //fox right back draw((64,9)..(113,35)..(105,100)); path h = (64,9)..(113,35)..(105,100); // fox outer part of inner tail draw((76,82)..(96,70)..(96,49)); path i = (76,82)..(96,70)..(96,49); // fox upper belly draw((39,59)..(63,38)..(96,49)..(111,81)); path j = (39,59)..(63,38)..(96,49)..(111,81); // fox middle belly draw((111,81)..(108,92)..(105,100)); path k = (111,81)..(108,92)..(105,100); // fox lower chin draw((39,59)..(45,67)..(58,70)); path l = (39,59)..(45,67)..(58,70); // fox snout draw((58,70)..(60,71)..(63,75)); path m = (58,70)..(60,71)..(63,75); //fox outer right ear draw((32,92)..(37,98)..(45,102)); path n = (32,92)..(37,98)..(45,102); //fox inner right ear draw((45,102)..(44,95)..(46,84)); path o = (45,102)..(44,95)..(46,84); // fox middle belly draw((8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124)); path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124); // fox upper left tail draw((81,124)..(68,112)..(62,94)); path q = (81,124)..(68,112)..(62,94); //fill(c--d--e--f--g--cycle, orange); shipout(bbox(lightgrey+3mm,FillDraw(lightgrey))); [/asy]](http://latex.artofproblemsolving.com/b/0/1/b018cf6aa2eff1ce6f9c685efcc52349f7b95eca.png)
![[asy] //firefox fill(Circle((64,64),30), purple); //fox belly //draw((76,82)..(66,38)..(35,66),red); path a = (76,82)..(66,38)..(35,66); //fox lower mouth draw((35,66)..(27,69)..(23,75)); path b = (35,66)..(27,69)..(23,75); //fox upper mouth draw((23,75)..(32,79)..(44,76)); path c = (23,75)..(32,79)..(44,76); //fox middle nose draw((44,76)..(54,74)..(63,75)); path d = (44,76)..(54,74)..(63,75); //fox upper nose draw((63,75)..(53,79.5)..(46,84)..(41,89)..(32,92)); path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92); //fox left ear draw((32,92)..(29,99)..(29,106)); path f = (32,92)..(29,99)..(29,106); //fox left back draw((29,106)..(14,38)..(64,9)); path g = (29,106)..(14,38)..(64,9); //fox right back draw((64,9)..(113,35)..(105,100)); path h = (64,9)..(113,35)..(105,100); // fox outer part of inner tail draw((76,82)..(96,70)..(96,49)); path i = (76,82)..(96,70)..(96,49); // fox upper belly //draw((39,59)..(63,38)..(96,49)..(111,81),orange); path j = (39,59)..(63,38)..(96,49)..(111,81); // fox middle belly draw((111,81)..(108,92)..(105,100)); path k = (111,81)..(108,92)..(105,100); // fox lower chin draw((39,59)..(45,67)..(58,70)); path l = (58,70)..(45,67)..(39,59); // fox snout draw((58,70)..(60,71)..(63,75)); path m = (63,75)..(60,71)..(58,70); //fox outer right ear draw((32,92)..(37,98)..(45,102)); path n = (32,92)..(37,98)..(45,102); //fox inner right ear draw((45,102)..(44,95)..(46,84)); path o = (45,102)..(44,95)..(46,84); // fox middle belly draw((8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124)); path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124); // fox upper left tail draw((81,124)..(68,112)..(62,94)); path q = (81,124)..(68,112)..(62,94); // updated belly draw((76,82)..(65,40)..(39,59)); path aA=(39,59)..(65,40)..(76,82); //updated fox upper belly draw((111,81)..(96,49)..(47,43)..(35,66)); path jJ=(111,81)..(96,49)..(47,43)..(35,66); // updated fox upper belly extra draw((96,49)..(47,43)..(35,66),red); path jJ1=(96,49)..(46.5,43.5)..(35,66); picture middle_shade; path one=aA--i--jJ1--b--c--d--m--l--cycle; pen[][] firefox1={{yellow+.3*orange,yellow+orange,orange}}; latticeshade(middle_shade,rotate(90)*one,firefox1); add(rotate(-90)*middle_shade); shipout(bbox(lightgrey+3mm,FillDraw(lightgrey))); [/asy]](http://latex.artofproblemsolving.com/9/e/7/9e778f8465ba1d6a361eb0f69329ff8e4d24ac4c.png)
![[asy] //firefox fill(Circle((64,64),30), purple); //fox belly //draw((76,82)..(66,38)..(35,66),red); path a = (76,82)..(66,38)..(35,66); //fox lower mouth draw((35,66)..(27,69)..(23,75)); path b = (35,66)..(27,69)..(23,75); //fox upper mouth draw((23,75)..(32,79)..(44,76)); path c = (23,75)..(32,79)..(44,76); //fox middle nose draw((44,76)..(54,74)..(63,75)); path d = (44,76)..(54,74)..(63,75); //fox upper nose draw((63,75)..(53,79.5)..(46,84)..(41,89)..(32,92)); path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92); //fox left ear draw((32,92)..(29,99)..(29,106)); path f = (32,92)..(29,99)..(29,106); //fox left back draw((29,106)..(14,38)..(64,9)); path g = (29,106)..(14,38)..(64,9); //fox right back draw((64,9)..(113,35)..(105,100)); path h = (64,9)..(113,35)..(105,100); // fox outer part of inner tail draw((76,82)..(96,70)..(96,49)); path i = (76,82)..(96,70)..(96,49); // fox upper belly //draw((39,59)..(63,38)..(96,49)..(111,81),orange); path j = (39,59)..(63,38)..(96,49)..(111,81); // fox middle belly draw((111,81)..(108,92)..(105,100)); path k = (105,100)..(108,92)..(111,81); // fox lower chin draw((39,59)..(45,67)..(58,70)); path l = (58,70)..(45,67)..(39,59); // fox snout draw((58,70)..(60,71)..(63,75)); path m = (63,75)..(60,71)..(58,70); //fox outer right ear draw((32,92)..(37,98)..(45,102)); path n = (32,92)..(37,98)..(45,102); //fox inner right ear draw((45,102)..(44,95)..(46,84)); path o = (45,102)..(44,95)..(46,84); // fox middle belly draw((8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124)); path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124); // fox upper left tail draw((81,124)..(68,112)..(62,94)); path q = (81,124)..(68,112)..(62,94); // updated belly draw((76,82)..(65,40)..(39,59)); path aA=(39,59)..(65,40)..(76,82); //updated fox upper belly draw((111,81)..(96,49)..(47,43)..(35,66)); path jJ=(111,81)..(96,49)..(47,43)..(35,66); // updated fox upper belly extra draw((96,49)..(47,43)..(35,66),red); path jJ1=(96,49)..(46.5,43.5)..(35,66); draw((29,106)..(9.3,72)..(14,38)); path g1=(29,106)..(9.3,72)..(14,38); draw((8,64)..(39,17)..(111,81)); path p1=(8,64)..(39,17)..(111,81); picture ms; path one=aA--i--jJ1--b--c--d--m--l--cycle; pen[][] firefox1={{yellow+.3*orange,yellow+orange,orange+.5*red}}; latticeshade(ms,rotate(90)*one,firefox1); add(rotate(-90)*ms); picture bs; path two=jJ--b--c--d--e--f--g1--p1--cycle; pen[][] firefox1={{yellow+.3*orange,yellow+orange,red}}; latticeshade(bs,rotate(120)*two,firefox1); add(rotate(-120)*bs); picture right_ear_shade; path two=n--o--(46,84)..(41,89)..(32,92)--cycle; pen[][] firefox2={{yellow+.5*orange,orange+yellow,orange}}; latticeshade(right_ear_shade,rotate(90)*two,firefox2); add(rotate(-90)*right_ear_shade); shipout(bbox(lightgrey+3mm,FillDraw(lightgrey))); [/asy]](http://latex.artofproblemsolving.com/d/7/2/d720b4a3e004ae7608050bde86df6fa005ac414f.png)
![[asy] /** * Firefox * * Made by piphi and sonone * * For more information go to the link below. * https://artofproblemsolving.com/wiki/index.php/User_talk:Piphi#Firefox_Logo */ path circ = Circle((64,64),30)--cycle; path upper = (111,81)..(102,98)..(95,106)..(87,115)..(81,124); path q = (81,124)..(68,112)..(62,94); path i = (76,82)..(96,70)..(96,49); path ll = (111,81)..(106,61)..(96,49); picture highest_tail_shade; path two=upper--q--i--ll--cycle; pen[][] firefox2={{rgb(255,242,77),rgb(255,219,63),rgb(251,122,83)}}; latticeshade(highest_tail_shade,rotate(110)*two,firefox2); add(rotate(-110)*highest_tail_shade); void fillmyway(picture pic=currentpicture,pair C,path P,real[] r,pen[] p,int n=100) { int m=r.length; for(int k=n;k>0;--k) { real[] g(real rr) { real qq=70,ss=0; real[] col={0,0,0}; for(int kk=0;kk<r.length-1;++kk) { real h=r[kk+1]-r[kk]; for (real t=0.05;t<1;t+=0.1) { real rt=r[kk]+t*h; col+=exp(-qq*(rr-rt)^2)*h*((1-t)*colors(rgb(p[kk]))+t*colors(rgb(p[kk+1]))); ss+=exp(-qq*(rr-rt)^2)*h; } } return col/ss; } real[] col=g(k/n); unfill(shift(C)*scale(k/n)*shift(-C)*P); fill(shift(C)*scale(k/n)*shift(-C)*P,rgb(col[0],col[1],col[2])); } } pen[] p={rgb(109,93,228),rgb(104,88,218),rgb(167,66,233),rgb(188,59,231),rgb(170,51,216)}; real[] r={0,0.45,0.8,0.9,1}; fillmyway((50,45),circ,r,p); //fox belly path a = (76,82)..(66,38)..(35,66); //fox lower mouth path b = (35,66)..(27,69)..(23,75); //fox upper mouth path c = (23,75)..(32,79)..(44,76); //fox middle nose path d = (44,76)..(54,74)..(63,75); //fox upper nose path e = (63,75)..(53,79.5)..(46,84)..(41,89)..(32,92); //fox left ear path f = (32,92)..(29,99)..(29,106); //fox left back path g = (29,106)..(14,38)..(64,9); //fox right back path h = (64,9)..(113,35)..(105,100); path hh = (105,100)..(113,35)..(64,9); // fox outer part of inner tail path i = (76,82)..(96,70)..(96,49); // fox upper belly path j = (39,59)..(63,38)..(96,49)..(111,81); // fox middle belly extra path k = (105,100)..(108,92)..(111,81); path kk = (111,81)..(108,92)..(105,100); // fox lower chin path l = (58,70)..(45,67)..(39,59); // fox snout path m = (63,75)..(60,71)..(58,70); //fox outer right ear path n = (32,92)..(37,98)..(45,102); //fox inner right ear path o = (45,102)..(44,95)..(46,84); // fox middle belly path p = (8,64)..(39,17)..(111,81)..(102,98)..(95,106)..(87,115)..(81,124); path upper = (111,81)..(102,98)..(95,106)..(87,115)..(81,124); // fox upper left tail path q = (81,124)..(68,112)..(62,94); // updated belly path aA=(39,59)..(65,40)..(76,82); //updated fox upper belly path jJ=(111,81)..(96,49)..(47,43)..(35,66); path ll = (111,81)..(106,61)..(96,49); // updated fox upper belly extra path jJ1=(96,49)..(46.5,43.5)..(35,66); path g1=(29,106)..(9.3,72)..(14,38); path p1=(8,64)..(39,17)..(111,81); picture ms; path one=aA--i--jJ1--b--c--d--m--l--cycle; pen[][] firefox1={{yellow+orange,rgb(255,172,28),orange+.5*red}}; latticeshade(ms,rotate(90)*one,firefox1); add(rotate(-90)*ms); picture bs; path two=jJ--b--c--d--e--f--g1--p1--cycle; pen[][] firefox1={{rgb(255,227,67),rgb(255,149,19),rgb(255,92,50),rgb(255,48,82)}}; latticeshade(bs,rotate(130)*two,firefox1); add(rotate(-130)*bs); picture right_ear_shade; path two=n--o--(46,84)..(41,89)..(32,92)--cycle; pen[][] firefox2={{rgb(255,189,70),rgb(255,155,59),rgb(255,80,56)}}; latticeshade(right_ear_shade,rotate(130)*two,firefox2); add(rotate(-130)*right_ear_shade); picture lowest_tail_shade; path two=p1--kk--hh--(64,9)..(25,24)..(8,64)--cycle; pen[][] firefox2={{rgb(254,228,78),rgb(250,129,85),rgb(229,11,113)}}; latticeshade(lowest_tail_shade,rotate(110)*two,firefox2); add(rotate(-110)*lowest_tail_shade); clip(currentpicture, g--h--(81,124)--cycle); shipout(bbox(lightgrey+3mm,FillDraw(lightgrey))); [/asy]](http://latex.artofproblemsolving.com/a/7/b/a7b8b804fa4b52d95e67614970287bf6ec917b58.png)
