As for what the "EU Referendum Rules triggering a 2nd EU Referendum" petition has to say, you may have to take the Independent's word for it: The petition.parliament.uk site was mostly down this morning, ostensibly due to an inability to keep up with the flow of traffic to it. The Independent reports that the petition requests the "HM Government to implement a rule that if the remain or leave vote is less than 60% based on a turnout less than 75% there should be another referendum."
Per the Guardian, turnout fell shy of that mark, at 72.16%; Leave captured 52% of the vote. Petitions that hit 100,000 signatures must be addressed by Parliament; after several tries, Newser accessed the petition, which was up to 104,029 signatures. (Read more Brexit stories.)