Up the Walls of the World is a 1978 science fiction novel by the American author Alice Sheldon who wrote under the pen name of James Tiptree, Jr. It was the first novel she published having until then worked and built a reputation only in the field of short stories.
The novel explores the possibility that telepathy and other psychic phenomena are real. It sympathetically describes an attempt to invade the Earth by beings with advanced telepathic abilities from the planet Tyree.
It considers the subject of sentience in different life forms inhabiting widely different environments, in computers and in a vast sentient inhabitant of deep space formed of a network of widely spaced nodes. It is Sheldon's skill to be able to write convincingly of the experience of beings in all of these.