Can’t a class have static constexpr member instances of itself?

A class is allowed to have a static member of the same type. However, a class is incomplete until the end of its definition, and an object cannot be defined with incomplete type. You can declare an object with incomplete type, and define it later where it is complete (outside the class).

struct Size
{
    const unsigned int width;
    const unsigned int height;

    static const Size big;
    static const Size small;

private:

    Size( ) = default;
};

const Size Size::big = { 480, 240 };
const Size Size::small = { 210, 170 };

see this here: http://coliru.stacked-crooked.com/a/f43395e5d08a3952

This doesn’t work for constexpr members, however.