QuizWit

[알림판목록 I] [알림판목록 II] [글목록][이 전][다 음]
[ QuizWit ] in KIDS
글 쓴 이(By): parsec ( 먼 소 류 )
날 짜 (Date): 2002년 6월 16일 일요일 오전 12시 05분 32초
제 목(Title): ...


위 양치기 문제를 위해 만든 조작들을 이용해서 장난을 좀 해봤습니다.
아무렇게나 다각형을 초기화시킨 다음 정다각형으로 만들어가는 것입니다.

initpolygon[n_]:=
  Append[Prepend[Table[{(n/2-1)/(n-2)*i+1,0},{i,1,n-2}],{0,0}],{1,0}]
  
n=7;
p0=initpolygon[n];
t1={p0};

steps=1;
fr=10;

For[i=1,i<fr n,i++,
(*  If[Mod[i,n]==0,Continue[]]; *)
(*---------------------------------*)
  p3=part3[p0,i];
          p3=equilaterize3[p3];
          p1=subs3[p0,p3,i];
(* p1=Equilaterize[p0,1,2,n]; *)
(* th=angle[p1[[-1]]-p1[[1]]];
p1=rot[#,-th]& /@ ((-p1[[1]]+#)& /@ p1); *)
p0=p1;
(*---------------------------------*)
(* renormalize the perimeter
sol0=FindRoot[peri[a p0]==n,{a,1}];
p0=(a /.sol0) p0; *)
t1=Append[t1,p0]
]

For[i=1,i<13 n,i++,
(*  If[Mod[i,n]==0,Continue[]]; *)
          p4=part4[p0,i];
          p4=cyclify[p4];
          p2=subs4[p0,p4,i];
(*  p2=MaximizeArea[p1,steps,2,n]; *)
(*  th=angle[p2[[-1]]-p2[[1]]];
p2=rot[#,-th]& /@ ((-p2[[1]]+#)& /@ p2); *)
p0=p2;
(*---------------------------------*)
(* renormalize the perimeter *)
sol0=FindRoot[peri[a p0]==n,{a,1}];
p0=(a /.sol0) p0;
t1=Append[t1,p0]
]

g1=Map[ClosedLine,t1,{1}];
p1=Map[Point,t1,{2}];
g2={RGBColor[0,0,0.5],#}& /@ g1;
p2={RGBColor[0.7,0,0],PointSize[0.05],#}& /@ p1;
q1=Transpose[{g2,p2}];
q2=Map[Graphics[#,AspectRatio->Automatic,
        PlotRange->{{-n/8,5n/8},{-3n/8,n/8}}]&,q1];

ShowAnimation[q2];

다음은 결과를 동영상(avi 화일)로 만든 것입니다. 으히히...


_=_ 
_=_ Part 001 of 001 of file heptagon.zip
_=_ 

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`
end


             ◇    ~~~_ _
            ∴      ~|~| |     _/__,         SEP. 11. 2001
         _ ∴∴ _    ~ | |      \ `         Armorica under a tat
      ,-| `,-,_| |__ | | |   A
______|_|__|_|___|__|| | |__|_|_____________________________________
[알림판목록 I] [알림판목록 II] [글 목록][이 전][다 음]
키 즈 는 열 린 사 람 들 의 모 임 입 니 다.