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(89 intermediate revisions by 24 users not shown) |
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− | I also answer questions about the GMAAS.
| + | {{User:Piphi/Template:Header}} |
| | | |
− | == shutdown == | + | == Other Users using this user page style == |
− | | + | # [[User:Edud_looc]] |
− | The AoPS wiki is about to be shut down.
| + | # [[User:Rusczyk]] |
− | | + | # [[User:Aray10]] |
− | --[[User:Piphi|piphi]] ([[User talk:Piphi|talk]]) 13:52, 4 February 2020 (EST)
| + | # [[User:OlympusHero]] |
− | | + | # [[User:Nattie]] |
− | 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!
| + | # [[User:Ssbgm9002]] |
− | | + | # [[User:Rohanqv]] |
− | ===More info===
| + | # [[User:Prabh1512]] |
− | | + | # [[User:GoldAlicorn9]] |
− | ====Inspiration====
| + | # [[User:Niqhtwolf]] |
− | 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. :)
| + | # [[User:IntelligentElephant2010]] |
− | | + | # [[User:Objectz]] |
− | ====Beginnings====
| + | # [[User:Palaashgang]] |
− | 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.
| + | # [[User:Cozzmo]] |
− | <asy>
| + | # [[User:Enderramsby]] |
− | //firefox
| + | # [[User:Sugar rush]] |
− | fill(Circle((64,64),30), purple);
| + | # [[User:Bissue]] |
− | | + | # [[User:G.g.otto]] |
− | //fox belly
| + | # [[User:Firebolt360]] |
− | draw((76,82)..(66,38)..(35,66));
| + | # [[User:vincentwant]] |
− | path a = (76,82)..(66,38)..(35,66);
| + | # [[User:Solasky]] |
− | | |
− | //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 ==
| |
− | | |
− | 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
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− | path jJ=(111,81)..(96,49)..(47,43)..(35,66);
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− | | |
− | path ll = (111,81)..(106,61)..(96,49);
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− | | |
− | // updated fox upper belly extra
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− | path jJ1=(96,49)..(46.5,43.5)..(35,66);
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− | | |
− | path g1=(29,106)..(9.3,72)..(14,38);
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− | | |
− | path p1=(8,64)..(39,17)..(111,81);
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− | | |
− | picture ms;
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− | path one=aA--i--jJ1--b--c--d--m--l--cycle;
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− | pen[][] firefox1={{yellow+orange,rgb(255,172,28),orange+.5*red}};
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− | latticeshade(ms,rotate(90)*one,firefox1);
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− | add(rotate(-90)*ms);
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− | | |
− | picture bs;
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− | path two=jJ--b--c--d--e--f--g1--p1--cycle;
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− | pen[][] firefox1={{rgb(255,227,67),rgb(255,149,19),rgb(255,92,50),rgb(255,48,82)}};
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− | latticeshade(bs,rotate(130)*two,firefox1);
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− | add(rotate(-130)*bs);
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− | | |
− | picture right_ear_shade;
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− | path two=n--o--(46,84)..(41,89)..(32,92)--cycle;
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− | pen[][] firefox2={{rgb(255,189,70),rgb(255,155,59),rgb(255,80,56)}};
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− | latticeshade(right_ear_shade,rotate(130)*two,firefox2);
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− | add(rotate(-130)*right_ear_shade);
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− | | |
− | | |
− | picture lowest_tail_shade;
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− | path two=p1--kk--hh--(64,9)..(25,24)..(8,64)--cycle;
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− | pen[][] firefox2={{rgb(254,228,78),rgb(250,129,85),rgb(229,11,113)}};
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− | latticeshade(lowest_tail_shade,rotate(110)*two,firefox2);
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− | add(rotate(-110)*lowest_tail_shade);
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− | | |
− | clip(currentpicture, g--h--(81,124)--cycle);
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− | | |
− | shipout(bbox(lightgrey+3mm,FillDraw(lightgrey)));
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− | </asy>
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