In any triangle, the centroid, circumcenter and orthocenter always lie on a straight line, called the Euler line.
Try this: Drag any dot on a vertex of the triangle. The three dots representing the three centers will always lie on the green Euler line.
Courtesy of Konrad Polthier and Konstantin Poelke, Free University of Berlin
"Complex functions are important in many areas of mathematics, physics and engineering. A complex function is one in which both variables are complex numbers. The picture shows the visualization of a complex function using a specifically designed color scheme.
Following a technique called 'domain coloring,' the color scheme assigns a certain color to every complex number, inducing a coloring of the function domain according to its values at every point. So using this picture, you can explore properties of the function by easily spotting zeroes (black spots) or singularities (white spots). Contour lines indicate how the function deforms the complex plan."
For a hint on how this works , look at the table below carefully to find a pattern...
{ Think Nines }
Establishing scientific truth by legislative fiat.
The very notion of legislatively changing a mathematical constant sounds so crazy that it just has to be an urban legend, right? Nope. As unbelievable as it sounds, a bill that would have effectively redefined pi as 3.2 came up before the Indiana legislature in 1897.
Read more of this interesting development via mentalfloss.com
