Among all geometric shapes composed of straight lines, the pentagram can be regarded as the one with the most outstanding properties. Whether it is a geometric characteristic or a mathematical relationship of its proportions, Leonardo da Vinci already recognized the significant role of the Golden Ratio, the "Sectio aurea", in nature, the human body, and art. This title addresses the task of the geometry of the pentagram, the five-pointed star. It is sometimes necessary to consider certain terms and theorems from a different perspective than usual. This also creates a connection to the fundamental issues of education and the pedagogical insights of Rudolf Steiner.