kolohekeiki:
This maybe an ignorant question, but what is parquet flooring? Is it a hard surface?
Parquet is pattered wood flooring that is layed in tiles. Typically, they are relatively thin wood tiles glued to subflooring in a pattern. It is hard. However unlike fancy parquet gym floors that get waxed, the floors in houses are polyurethane coated and slippery.
Are you sure the puzzle piece mats that slipped were not just foam and not heavy 8mm rubber? This stuff should be a few pounds per square foot. Like these:
http://www.costco.com/EZ-Flex-Interlocking-Recycled-Rubber-Floor-Tiles.product.11623616.html?catalogId=10701
http://www.amazon.com/Supermats-Pieces-Rubber-Interlocking-19-5-Inch/dp/B001KP018K/ref=sr_1_2?ie=UTF8&qid=1358961989&sr=8-2&keywords=interlocking+rubber+tiles
I've been suggested to go to Tractor Supply Co. and get 4x6ft stall mats.