[lmikle]

Да, задачка интересная. Но решается за 15 минут

Во:

Код:

unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, ExtCtrls, Math;

type
  TForm1 = class(TForm)
    PaintBox1: TPaintBox;
    Timer1: TTimer;
    procedure PaintBox1Paint(Sender: TObject);
    procedure Timer1Timer(Sender: TObject);
    procedure FormCreate(Sender: TObject);
  private
    { Private declarations }
    FAngle : Integer;
    procedure DrawStar(Angle : Integer);
  public
    { Public declarations }
  end;

var
  Form1: TForm1;

implementation

{$R *.dfm}

{ TForm1 }

procedure TForm1.DrawStar(Angle: Integer);
const
  N = 5;
var
  I : Integer;

  cx, cy : Integer;
  u : Integer;
  r : Integer;

  x, y : Integer;
begin
  cx := PaintBox1.Width div 2;
  cy := PaintBox1.Height div 2;
  r := Min(cx,cy);
  u := 360 div N;

  For I := 1 To N+1 Do
    begin
      x := Round(r * sin(2*u*I*PI/180 + Angle*PI/180)) + cx;
      y := Round(r * cos(2*u*I*PI/180 + Angle*PI/180)) + cy;

      If I = 1
        Then PaintBox1.Canvas.MoveTo(x,y)
        Else PaintBox1.Canvas.LineTo(x,y);
    end;
end;

procedure TForm1.PaintBox1Paint(Sender: TObject);
begin
  DrawStar(FAngle);
end;

procedure TForm1.Timer1Timer(Sender: TObject);
begin
  Inc(FAngle);
  If FAngle >= 360 Then FAngle := 0;
  PaintBox1.Repaint;
end;

procedure TForm1.FormCreate(Sender: TObject);
begin
  FAngle := 0;
  PaintBox1.Repaint;
  Timer1.Enabled := True;
end;

end.