Reality may be the purest chaos. Georg Christoph Lichtenberg recognized in 1953 that the straight line leads to the downfall of humanity. But the straight line has become absolute tyranny. The straight line is the curse of our civilization. Today, we are witnessing the triumph of rational technology, while at the same time, we find ourselves facing nothingness. Friedensreich Hundertwasser. This book is neither a typical mathematics book nor a conventional popular science book. Rather, it aims to present a kind of reader that allows even laypeople to gain a solid insight into the world of current chaos theory and fractal geometry without the burden of too many technical-mathematical notations. This first volume focuses more on geometric phenomena, while the second volume, "Chaos - Building Blocks of Order," will delve into other aspects.