Thomas explains what he loves about science, the puzzle which is never truly solved. It’s not about finding the solution, but about the journey you take.

Watch Thomas’s video here:

http://youtu.be/IL5VRLISTs8And follow him on tumblr!

scienceingTHOMAS!!!!!

UGC 1810 The Rose GalaxyCredit: NASA/Hubble, Mehdi Bozzo-Rey

Star Trek: The Original Series (1966)

"Stars must die so that I can live. I stepped out of a supernova” -Phil Hellenes

The rotation of Earth really makes my day!

Gabriel’s Horn and the Painter’s ParadoxGabriel’s Horn is a three-dimensional horn shape with the counterintuitive property of having a finite volume but an infinite surface area.

This fact results in the Painter’s Paradox — A painter could fill the horn with a finite quantity of paint, “and yet that paint would not be sufficient to coat [the horn’s] inner surface” [1].

If the horn’s bell had, for example, a 6-inch radius, we’d only need about a half gallon of paint to fill the horn all the way up. Even though this half gallon is enough to entirely fill the horn, it’s not enough to even coat a fraction of the inner wall!

The mathematical explanation is a bit confusing if you haven’t taken a first course in calculus, but if you’re interested, you can check it out here.

Mathematica code:

x[u_, v_] := u y[u_, v_] := Cos[v]/u z[u_, v_] := Sin[v]/u Manipulate[ParametricPlot3D[{{x[u, v], y[u, v], z[u, v]}}, {u, 1, umax}, {v, 0, 2*Pi}, PlotRange -> {{0, 20}, {-1, 1}, {-1, 1}}, Mesh -> {Floor[umax], 20}, Axes -> False, Boxed -> False], {{umax, 20}, 1.1, 20}]Additional source not linked above.