This post repeats parts of earlier posts but I am trying to expand the ideas and explain them better. First, I am showing you how to make rosettes with rotational symmetry and mirror symmetry. 1,936 more words

## Tags » Hyperbolic Geometry

#### Computation in geometric topology

Complete lecture videos for last week’s workshop *Computation in Geometric Topology* at Warwick are now posted on YouTube. The complete list of talks with abstracts and video links is here.

#### Euclid's Fifth Postulate and the Story of Non-Euclidean Geometry

It’s July, and Santa’s bored, so he decides to go for a stroll. At the north pole, every direction is actually south, and so he starts his walk going south. 5,204 more words

#### Why I pick hyperbolic geometry?

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

#### 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