Description:
"Infinity" is a mysterious word. The concept of $limlimits_{xo x_0} f(x) = infty$, for example, is exciting and difficult for pupils and students, too. One reason is that it is almost impossible to compute with it because $limlimits_{xo x_0} f(x) = infty$ is a potential infinity. Although Cantor already introduced the concept of countable infinity $aleph_0$, making a big step towards the actual infinity, this is not enough. Using the exploded numbers and their super - operations (super - addition, super - multiplication, super - subtraction, super - division) we are able to compute with countable infinity and otheractually infinite "numbers". Thanks to computer - graphic arts this computation is useful for the didactics of mathematics. For application purposes, we show a cupola which is situated outside the three-dimensional space.