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C (gcc), (削除) 169 (削除ここまで) (削除) 166 (削除ここまで) (削除) 161 (削除ここまで) 160 bytes

Thanks to ceilingcat (x3) for the suggestions! I also changed the newlines in the header to spaces as they seem to work fine as separators (at least in Irfanview) and fixed a bug that got revealed when the array was put on the stack.

Generates an image in PBM format, as it's probably the simplest way to make a bitmap! For some reason, all the online PBM viewers that I tried don't seem to like the output file, but Irfanview and GIMP are fine with it.

z;f(r,w){char s[(w=r*2+11)*w+1];float x=s[w*w]=!memset(s,48,w*w);for(;x<7;)s[z=round(sin(x+=1e-5)*r+r+5)+round(cos(x)*r+r+5)*w]=49;printf("P1 %d %d %s",w,w,s);}

Try it online!