Just some pictures of the Venus transit, (and, in a more general way, the mini-event we made at school for it)

We had better ways of seeing it there, sadly, I couldn”t get any screenshots from the computer connected to one of the telescopes

### So I opened a submissions box.

For my exam time absence~.

(Photos, videos, concepts, or interesting problems are well appreciated)

The Double Pendulum Orchestrated, by NorlamFile is an awesome sonic representation of a conservative double pendulum oscilation system, one of the most beautiful physical and mathematical models

### On space-filling curves

Formal definition.

Let $$\phi :[0,1]\to T$$ (where $$T$$ is a topological space) be a continous function (i.e. $$\phi ^{-1}$$ of any open set $$O$$ of $$T$$ is an open set of the unit interval) from the unit interval to a topological space. Such map is said to be an space-filling curve if $$\phi$$ is onto (i.e. if \phi passes through every element of $$T$$ ).

Note

Generally, space filling curves are represented on spaces homeomorphic to $$E^{n}$$ euclidian spaces. So to say, the plane, or any geometric solid, since these are the easiest ways to visualize a space filling curve. The most popular example, perhaps, is the two-dimensional Hilbert curve.

Images

A Hilbert curve from the unit interval to the unit cube

Peano Curve from the unit interval to the unit cube.

Flow Snake sapce filling curve.

Antithesis

Julia set. by page-avenue.

Reblogged from Graveyard Dancing
Reblogged from THE ConΣtant

The Lorenz attractor

the Julia set.

### Sorry guys.

Last three school weeks. Final projects, exams, and kind-of complicated topics.

When I end my Group Theory, advanced linear algebra courses and the overwhelming amounts of multivariable calc and mechanics I’ll be back. In the meantime, I’ll ony be posting pretty images.