Chapter 2: Where Kandido Met Anna That Explained Him the Distance Between Two Points

The sheets scattered in the underground wagon. kandido realized that his backpack was the cause of a such disaster. -Sorry- he mumbled while he tried to save the sheets from the people feet.
-Beautiful drawings... what are they?-
-Trajectories.- replied Anna while she tried to arrange them in the folder.
-Trajectories?-
-Yes. Trajectories of moving, travelling.. i'm studying them. i am a topologist. it is a branch of mathematics... for example where are you going?-
-i am going around the world.-
- milan- milan passing through the world. mmmh. interesting. I am going to Cadorna metro station: 6 stops,2 minutes per stops, 13.8 km in 12 minutes. According to an euclidean geometry it is a finite distance that can be modelled with a series of straight lines. But if you look at it with a fractal geometry you will see that the distance is infinite because the details between to points are infinite.
Kandido followed the lesson amazed. he was incredulous how a little accident gave him the possibility of meet a such interesting philosopher. exactly how the master Panglos was keep on saying "everything is always for the best."
Anna continued:
- For example, now you can start to scan the faces around you, then the hands and the shoes and then you can get deeper in the details and look how the strings are tied. and so on. and when you think to have reached the end you can ask the person sitted next to you what he is seeing... and in the same way the process can be iterated infinitely. you see, staying in Milan i can see and do as many things and kms as you.-
- you are right- kandido said thoughtful. - I travel because i lost my capacity to see in my daily travelling every time a new journey with new details. i have to remove the crust from my eyes. This crust created by monotony and repetitiveness... When i will be back, i will travel more, increasing the numbers of details and not the distance between two points. every time i will go to the bathroom at home, it will be like travelling around the world!- he smiled.
Anna smiled too half closing her eyes. then for an unpredictable impulse (that she could explain with the the Chaos theory and the turbulence studies) she smacked a kiss on his check.
-good luck- she said fleeing out the metro. "Cadorna station" the wagon announced.