Виртуальная функция определяющая пересечение фигур

#include <iostream>
 
class Shape
{
public:
    Shape(const std::string& type) : _type(type) {}
    virtual ~Shape() {}
 
    virtual const std::string& type() const { return _type; }
    virtual bool intersect(const Shape *other) const
    {
        std::cout << "is " << type() << " intersecet " << other->type() << std::endl;
    }
 
protected:
    std::string _type;
};
 
class Circle : public Shape
{
public:
    Circle() : Shape("circle") {}
 
    bool intersect(const Shape *other) const
    {
        Shape::intersect(other);
        return false;
    }
};
 
class Square : public Shape
{
public:
    Square() : Shape("square") {}
 
    bool intersect(const Shape *other) const
    {
        Shape::intersect(other);
        return false;
    }
};
 
class Triangle : public Shape
{
public:
    Triangle() : Shape("triangle") {}
 
    bool intersect(const Shape *other) const
    {
        Shape::intersect(other);
        return false;
    }
};
 
int main()
{
    Shape *circle = new Circle;
    Shape *square = new Square;
    Shape *triangle = new Triangle;
 
    circle->intersect(square);
    triangle->intersect(circle);
 
    delete circle;
    delete square;
    delete triangle;
 
    return 0;
}