When we talk about Territory we are particularly interested in its forms and function within our individual lives.
It goes without saying that Tourism is equally linked to the Territory in its most intimate characteristics. Among the most evident characteristics of the latter are its forms and, in particular, its forms due to the Karst phenomenon.
Observing cliffs, cliffs and ravines of limestone rocks in the Apulian territory, pretending to be cameras with a "macro" function, we notice how repetitive geometric shapes. Of the small footprints: now, square in shape; now, triangular .
By projecting this intuition into an infinite or, at least, vast space we will have a Sierpinski Space, often called: SIERPINSKI CARPET.
One of the first fractals studied and used, still today, in various scientific branches: Cartography, Cryptography, Mathematical modeling. It takes its name from its creator.
science
Wacław Franciszek Sierpiński
(1882-1969) was a Polish mathematician. He made important discoveries in set theory, number theory, analysis and topology, publishing over 700 papers and 50 books. He also invented many famous fractals, including the Sierpinski triangle, The Sierpinski carpet and the Sierpinski curve.
Sierpinski numbers are odd natural numbers k, such that k·2n+1 are composite for every natural number no. The Sierpinski problem is to find the smallest Sierpinski numbers. The smallest known number is 78,557 – but it is not yet known whether there are any smaller ones.
za and Nutrition
Sierpinski triangle
We also talked about fractals about dry stone walls, we invite you to read thereference article here
Among the first fractals studied, a place of honor occupies the so-called Sierpinski triangle (or Gerla di Sierpinski), named after the mathematician who was the first to study its properties. It is a very simple fractal to obtain even by elementary geometric methods.
From a strictly geometric point of view it is generated with a series of removals. You start with a full square (fig. 2) from which you remove a small square with a side equal to half the initial square, so as to obtain figure 3, made up of three squares. From each of these squares the small square at the bottom right is eliminated and a figure made up of nine small squares is obtained (fig. 4). In this way you continue each time until you get to the final result.
In the following figures we can observe the first 6 steps necessary to obtain the fractal.
https://ailovetourism.com/alberobello-puglia-ed-i-suoi-muretti-a-secco-frattali/We find examples of Sierpinski's Triangles in the ceiling of several Romanesque churches, where this geometric motif has an almost magical and hypnotic repetition .
how to build Sierpinski Triangle
Karst phenomena and Sierpinski carpet … a cultural tourism
Without going far, however, we could simply observe the rock of a cliff and, if we went into detail, we could find a three-dimensional repetition of Sierpinski triangles which, repeating themselves in small units and with a large number, generate macroscopic and self-constructing shapes.
Another confirmation of how Mathematics is a tool that almost involuntarily retraces and bears witness to the great stage that is Nature and the Territory.
This observation is even more profound if we push ourselves to observe many natural structures around us. A Tourism that can be based on the identification of forms of the territory that have been analyzed by Mathematics is a suggestion to be made for the creation of experiential packages that have not yet even been hypothesized.
AILoveTourism presents a Tour in Puglia which presents Mathematical Itineraries in Puglia. LOOK UNDER.
Address: via Ammiraglio Millo 9 .
Alberobello, Bari. ( Italy )
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