Построить треугольники, чтобы они не пересекались

#include <vcl.h>
#pragma hdrstop
 
#include "Love.h"
//---------------------------------------------------------------------------
#pragma package(smart_init)
#pragma resource "*.dfm"
TForm2 *Form2;
//---------------------------------------------------------------------------
__fastcall TForm2::TForm2(TComponent* Owner)
    : TForm(Owner)
{
}
 
 struct point{
     double x;
     double y;
 };
 
 int total = 0;  int count = 0;  int radius = 3;
 point p[100];
 
 
 void __fastcall TForm2::ShowPoint(int num1){
 PaintBox1->Canvas->Brush->Color = clRed;
 PaintBox1->Canvas->Ellipse(TRect(p[num1].x-radius,p[num1].y-radius,p[num1].x+radius,p[num1].y+radius));
 }
 
 
//---------------------------------------------------------------------------
void __fastcall TForm2::PaintBox1MouseDown(TObject *Sender, TMouseButton Button, TShiftState Shift,
          int X, int Y)
{
          if (Button == mbLeft) {
                TPoint pos = this -> ScreenToClient(Mouse->CursorPos);
                if(count < total){
                p[count].y = pos.y;
                p[count].x = pos.x;
                ShowPoint(count);
                count++;
                }
                else{
                    ShowMessage("Дохуя");
                }
          }
}
//---------------------------------------------------------------------------
 
 
 
void __fastcall TForm2::Edit1KeyPress(TObject *Sender, System::WideChar &Key)
{{ if((Key!=VK_BACK)&&(Key<'0'||Key>'9'))Key=0;}}
//---------------------------------------------------------------------------
 
void __fastcall TForm2::Button1Click(TObject *Sender)
{
 total = 3 * StrToInt(Edit1->Text);
 ShowMessage("Введите " + IntToStr(total) + " точек" );
}
//---------------------------------------------------------------------------

//.h
//---------------------------------------------------------------------------
 
#ifndef LoveH
#define LoveH
//---------------------------------------------------------------------------
#include <System.Classes.hpp>
#include <Vcl.Controls.hpp>
#include <Vcl.StdCtrls.hpp>
#include <Vcl.Forms.hpp>
#include <Vcl.ExtCtrls.hpp>
//---------------------------------------------------------------------------
class TForm2 : public TForm
{
__published:    // IDE-managed Components
    TPaintBox *PaintBox1;
    TEdit *Edit1;
    TButton *Button1;
 
    void __fastcall PaintBox1MouseDown(TObject *Sender, TMouseButton Button, TShiftState Shift,
          int X, int Y);
    void __fastcall Edit1KeyPress(TObject *Sender, System::WideChar &Key);
    void __fastcall Button1Click(TObject *Sender);
 
private:    // User declarations
 
 
 
public:     // User declarations
    __fastcall TForm2(TComponent* Owner);
 
 
    void __fastcall TForm2::ShowPoint(int num1);
 
 
};
//---------------------------------------------------------------------------
extern PACKAGE TForm2 *Form2;
//---------------------------------------------------------------------------
#endif