If you love pentagons then 2015 was a pretty good year for you, because this year a new pentagon was discovered! To be more precise, what mathematicians Mann, McLoud, Von Derau discovered this year was a previously unknown convex pentagon that can tessellate the plane. You can read about it at Evelyn J. Lamb’s article There’s Something About Pentagons. And Ed Pegg has a fantastic Wolfram Demonstration for Pentagon Tilings that contains vertex data for all of 15 known families of convex tessellating pentagons.
This model is a 12-unit configuration of the new 15th type of pentagon. Multiple copies of this 12-unit configuration can tessellate the plane using only translations.