Scaffoldings of this type are often very high and for setup must have a sufficient stability without which the outer outline dimensions specified by the platform would have to be enlarged beyond the degree of technologically required and permissible for transport. It is therefore a familiar practice, and regulated by pertinent codes, that the stability of the base of the scaffolding is increased by being able to pull the rollers arranged in pairs out of their transport position apart from each other, thus increasing the base area when setting up the scaffolding. The roller, however, cannot be moved additionally in a direction perpendicular to the one specified by the widening traverses. For this purpose, additional extension traverses would have to be inserted and thus the entire arrangement would be significantly more complicated. However, the expansion of the base in the perpendicular direction is actually just as desirable.