A Mathematician Looking Around

Recently I visited Science City  Auditorium, Kolkata to attend National Science Camp 2014.
I noticed two types of tilings used on the floor:

To find the mathematical details behind these, please read following 3 articles:

Covering the plane with Repeated Patterns (Part 1) by Haneet Gandhi

Covering the plane with Repeated Patterns (Part 2) by Haneet Gandhi

Enumeration of semi-regular tessellations by Community Mathematics Centre (Rishi Valley Education Centre)