A standard way to draw planar graphs is to draw nodes as dots and edges as line segments.
But the Koebe–Andreev–Thurston theorem also shows that any planar graph can be visualized by drawing nodes as circular disks, which are tangent if they share an edge:
Wow. This quote from Jacinda Ardern’s resignation: ‘Hope I leave New Zealanders with a belief that you can be kind but strong, empathetic but decisive, optimistic but focused...that you can be your own kind of leader, one who knows when it’s time to go’..
El mal genera mal. El daño genera daño.
Es lo que percibo a diario con las personas privadas de libertad con las que trabajo.
Muchas de ellas provienen de historias personales durísimas que a su vez generan daño a otros.
Este CANDADO "comunitario" de un garaje se desbloquea así que se abra uno solo y cualquiera de sus candados individuales.
(Miradlo con cuidado.)
Matemáticamente es un ENLACE BRUNIANO.
In 2016, Jeffrey Shallit wrote in a comment on https://t.co/qCiNNGknfg:
> apparently it is not even currently known whether or not 9 multiplications are needed to compute the determinant of a 3x3 matrix
Does anyone know if this is still open?
At first I thought this was a joke and they were going straight in hyperbolic space or something. But no, they actually are going straight in the ordinary sense (i.e. giving up a life of crime)