When I studied in a first course, I , as usual, go to the couple. It is about the fifth postulate of Euclid. “*If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.* 88 more words

## Tags » Hyperbolic Geometry

#### Why I pick hyperbolic geometry?

#### Understanding Geometry - 3

In some of my past posts, I have mentioned “hyperbolic curvature“,”hyperbolic trigonometry” and “hyperbolic ideal points“. In this post I will share some artworks, based on hyperbolic geometry, by contemporary artists (from Tumblr): 200 more words

#### Counting Matrices of Small Trace

**— GRAPHS OF LARGE GIRTH —**

To refresh on a bit of graph theory, we define a *k*-regular graph to be a graph in which every vertex has… 1,495 more words

#### Understanding Geometry - 1

When we think about mathematics, what comes to our mind are the numbers and figures. The study of numbers is called arithmetic and the study of figures is called geometry (in very crude sense!). 513 more words