I deliri del giovane Helios

nigu:

nipresa:

bloodredorion:

Have you ever wondered what would happen if you put a red gummy bear in potassium chlorate?

Ci si può alimentare un motore?

‘Yeah Mr.White! Yeah Science!’

(via rispostesenzadomanda)

lubabbollu:

novaffanculotu:

“Trovatemi un leghista capace di parlare così. Non affannatevi, tanto non esiste.”

via Questa è la Lega

reblog doveroso.

(via rispostesenzadomanda)

raelmozo:

[il mio sogno, andare in giro così]

Moby - We Are All Made of Stars [HQ] (by cindycsy01)

(via rispostesenzadomanda)

intothecontinuum:

In this video, each point of the frame is assigned a color by averaging the different points that would result from performing certain mirror reflections across a sequence of lines in the plane.

In an attempt to personally understand whats going on in this video I will try to break this down and be more precise. More formally, let p₀ be any point in some region R of the plane, and let L={l₁,l₂,…,l_n} be a set of n lines that lie in the plane passing through the region R. Letting f_i(x) be the point obtained by reflecting the point x across the line l_i, start with a point p₀ and reflect across the first line to get f₁(p₀)=p₁. Then reflect this new point p₁ across the next line l₂ to get f₂(p₁)=p₂. Continue in this manner sequentially reflecting the point obtained across the next line and consider the set of n points {p₁,p₂,…,p_n}, where f_i(p_i-1)=p_i and 1 ≤ i ≤ n.

Using the set of points {p₁,p₂,…,p_n} obtain an average, and using this average assign a color to the point p₀ .

Do this for all points p in the region R using the same set of lines L.

This procedure determines what a single frame in the video looks like. The dynamics  result from slowly varying the positions of the lines in L in a seemingly continuous manner. So at each time step, there is actually a different set of lines being used to determine the colors of each point in the frame. Where these lines are and how many lines there are is essentially an arbitrary choice.

What I am not sure about is the averaging procedure and how this number would get mapped to the colors. I don’t think it would matter if the region under consideration was part of the real plane or complex plane, but I will assume its the former. Is the average supposed to be the average of the norms for each of the points in {p₁,p₂,…,p_n}? How would this picture change if different averaging methods were used instead?

Check out other videos by Jonathan McCabe here!

(via proofmathisbeautiful)