Douglas Hofstadter's 2007 masterpiece, I Am a Strange Loop, dives into the intricate world of strange loops, a concept he originally explored in his 1979 groundbreaking book Gödel, Escher, Bach. This book is more than a mere exploration; it's a philosophical odyssey into the heart of self-perception.
"In the end, we are self-perceiving, self-inventing, locked-in mirages that are little miracles of self-reference."
— Douglas Hofstadter, I Am a Strange Loop, p. 363
About Me: Krzysztof Wysocki
This space is a personal anthology of self-referencing marvels observed in various facets of my life. It's a collection born out of sheer curiosity, a testament to my fascination with strange loops and their mysterious presence in the universe. While it may seem like a quirky collection without practical application, it's a celebration of the enigmatic beauty found in the complexities of self-reference and introspection.
EBNF extended Backus–Naur form (EBNF) is a family of metasyntax notations. EBNF can be described using EBNF.
A quine is a computer program which takes no input and produces a copy of its own source code as its only output. The standard terms for these programs in the computability theory and computer science literature are "self-replicating programs", "self-reproducing programs", and "self-copying programs".
- Simple python quine. Author: Frank Stajano (fstajano@orl.co.uk)
l='l=%s;print l%%`l`';print l%`l`- Take a look at minecraft built whitin minecraft world I made Minecraft in Minecraft
Drawing Hands is a lithograph by the Dutch artist M. C. Escher first printed in January 1948. It depicts a sheet of paper, out of which two hands rise, in the paradoxical act of drawing one another into existence. This is one of the most obvious examples of Escher's common use of paradox.
The Sierpinski Triangle is a fractal and an attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. It's named after the Polish mathematician Wacław Sierpiński, who described it in 1915, although it had been known to Italian mathematician Giuseppe Peano as early as 1890.
At each iteration, the emerging pattern remains consistent: an exact smaller-scale replica of the original. When you zoom in on any of the corner triangles, you will find an identical version of the initial triangle. This property holds true at any level of magnification. Each smaller triangle is an exact miniature copy of the whole, embodying the concept of exact self-similarity.
The Koch snowflake (also known as the Koch curve, Koch star, or Koch island[1][2]) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry"[3] by the Swedish mathematician Helge von Koch.
