The title of my post is the same as the title of a known article written by Sierpinski where he introduced its famous triangle. In the book Handbook of the history of general topology by Lowen said that this curve was introduced trying to attack the concepts of cantorian curve and jordanian curve, he talks but don't prove some very interesting properties. The original paper was written in polish, I do not know polish.
There exist some version in English or some article that talks about the same propierties of the Sierpinski Gasket and proved it? I am really intrigued about this properties but I only find articles that mention them but there is not formal explanation.
Thanks!