Benjamin Suchar launched his CheckMyMetro application in June, but made the mistake of using the official metro design, over which RATP claims intellectual property rights.
Instead, he set up the Check My Map website and launched a competition for designers to create a fresh design for the full network.
Over 80 intricate designs were submitted to the website. A jury selected ten finalists and votes are now being invited from the public on the CheckMyMap page on Facebook.
Voting will close on December 11th and the winning design will be used on the new app for iPhone and Android.
Contest organizers said part of their aim is to promote the use of open data in France. On its website it argues that "the metro map should not only belong to RATP but to all citizens."
The Paris metro was opened in 1900 and is the second busiest metro system in Europe, after Moscow. It carries 4.5 million passengers a day over 213 kilometres of track and has 301 stations.