evidence: Tensions between China and Vietnam over the disputed South China Sea are at their highest levels in years. On May 2, the state-owned China National Offshore Oil Corporation (CNOOC) placed its deep sea drilling rig HD-981 in disputed waters south of the Paracel Islands. Vietnam objected to the placement, declaring that the rig is located on its continental shelf. China has since sent approximately 80 ships, including seven military vessels, along with aircraft to support the rig. In response, Hanoi dispatched 29 ships to attempt to disrupt the rig’s placement and operations. [...] China’s Ministry of Foreign Affairs has responded to Vietnam’s complaints by insisting that the rig was placed "completely within the waters of China's Paracel Islands." This presumably refers to the 200 nautical mile exclusive economic zone and continental shelf that those islands—which are occupied by China but claimed by Vietnam—would generate under UNCLOS if they met certain requirements. [...] A2: China’s Ministry of Foreign Affairs appears to be basing its case on the assumption that Triton Island, 17 miles to the north of HD-981, or another of the Paracels meets the UNCLOS habitability requirement for generating its own continental shelf. If that were assumed to be true, then HD-981 would indeed fall within the maximum hypothetical area of dispute generated by the Paracels, shown in red below. This is the maximum dispute because it gives the tiny Paracel Islands equal weight in delimitation with the entire Vietnamese coast facing them—a proposition that borders on the absurd.