‘A rug helps anchor all the pieces’: how to start decorating your home

3 moons of Neptune may be remnants of ice worlds shattered in a catastrophic crash

OpenAI announces solutions to 10 longstanding maths problems

Science funding cuts will harm Britain’s global standing | Letters

Readers respond to an editorial about the threat to research funding, including plans to close the Jodrell Bank ObservatoryYour editorial rightly criticises the decision to cease funding the Lovell telescope from March 2028 (The Guardian view on the Lovell telescope: budget cuts to physics are bad science and worse politics, 31 July). There are additional reasons why this decision is so shortsighted. Modern astronomy is no longer simply physics.

Scientists uncover big clue as to how Antarctica's mysterious Blood Falls came to be

Scientists uncover big clue as to how Antarctica's mysterious Blood Falls came to be Brine that feeds the gruesome-looking Blood Falls in East Antarctica may have been emplaced when sea levels were higher than they are now, a new study says. At the end of a glacier deep in East Antarctica's Taylor Valley, there is a haunting waterfall that oozes red brine like a bleeding wound in the ice. Scientists explained the brine's gory hue several years ago, finding that it is exceptionally rich in iron.