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Geometries are now copy constructible and copy assignable objects. However, in some situations it, like storing geometries in a vector indexed by the index set, a default constructor would be extremely convenient.

As a geometry can always model the identity, there seems no design principle speaking against such default constructibility. Only the return value of "type()" needs to be implementation-defined.

Since nobody will use a default constructed geometry, I would even propose to specify undefined behavior for all methods. This way, implementations simply storing a pointer internally remain trivial.

Are there any reasons not to add this default constructor to the interface?