K2 argued in his account of the ascent of Gasherbrum IV that while the name of K2 owes its origin to chance, its clipped, impersonal nature is highly appropriate for so remote and challenging a mountain. He concluded that it was: Andre Weil named K3 surfaces in mathematics partly after the beauty of the mountain K2. K2 lies in the northwestern Karakoram Range. It is located in the Baltistan region of Gilgit–Baltistan, Pakistan, and the Taxkorgan Tajik Autonomous County of Xinjiang, China. The Tarim sedimentary basin borders the range on the north and the Lesser Himalayas on the south. Melt waters
K2 around 300 successful summits and 77 fatalities; about one person dies on the mountain for every four who reach the summit. It is more difficult and hazardous to reach the peak of K2 from the Chinese side, so it is usually climbed from the Pakistani side. K2 has never been climbed during winter, unlike Annapurna, the mountain with the highest fatality-to-summit rate (191 summits and 61 fatalities), or the other eight-thousanders. Ascents have almost always been made in July and August, the warmest times of year; K2's more northern location makes it more susceptible to inclement and colder weather. The