**Nuno R. O. Bastos, School of Technology and Management of Viseu, Polytechnic Institute of Viseu, Viseu, Portugal**

Nuno R. O. Bastos received his Ph.D. degree in Mathematics from University of Aveiro, Portugal. He is currently Adjunct Professor at the Department of Mathematics, School of Technology and Management of Viseu, Polytechnic Institute of Viseu, Viseu, Portugal.

He is a member of the Systems and Control Group, as part of the Center for Research & Development in Mathematics and Applications (CIDMA), which is hosted at the Department of Mathematics of the University of Aveiro, Aveiro, Portugal.

In parallel with teaching and research activities, he has also carried out mathematical dissemination sessions, in Portugal and abroad, where he has the goal to motivate students towards this topic. In Portugal, these sessions have been mostly within the scope of „Mathematics Afternoons” organized by the Center Branch of Portuguese Mathematical Society. Recently, he has, on the one hand, held sessions on the use of digital tools in the school environment and, on the other hand, has supervised master’s dissertations on this topic.

**Wykład PDM2021:**

**Tantrix: a geometric puzzle,****Nuno Rafael Bastos/14.12.2021, godz. 16-17**

https://videoconf-colibri.zoom.us/j/87654821181

Meeting ID: 876 5482 1181

Tantrix is the brand name for a set of hexagonal Bakelite tiles and was invented by Mike McManaway of New Zealand in 1991. Since then, it has won major awards around the world. Each tile has three lines, of different colours, which go from one side to another. Some sets of tiles can be used as puzzles, in which you have to arrange the tiles so that the edges match in colour, thus forming coloured lines or even loops. The tiles can also be used for playing a game with two or more people.

In this talk, where the main focus will be on the puzzles, participants will learn Tantrix rules, how to use tiles to solve some puzzles and work with some mathematical concepts (e.g. rotations, symmetries, angles, polygons, etc) . The presented puzzles are best solved by applying logic and deduction, although trial and error can sometimes work too.

To fully participate, please go to https://bit.ly/nbplmdays21 and then cut each one of the 14 hexagonal tiles.