Most sources he was also a chess theorist. Exactly what that means, I have not been able to discover. He seems to have played chess only on a casual basis, but it appears he did dabble in composing two movers.
Lionel's daughter is Professor Shirley Victoria Hodgson DM, D(Obst), RCOG, DCH, FRCP, FRSB (nee Penrose, born February 22, 1945) is a British geneticist. She worked as a GP, then became Senior Registrar in Clinical Genetics for the South Thames (East) Regional Genetics Centre and Honorary Senior Registrar at Hammersmith Hospital, London, from 1983 to 1988; then Consultant Geneticist at Addenbrooke's Hospital from 1988–1990. In the 1990s and led the regional cancer genetics service at Guy's and St Thomas' Hospital. In 2003 she became Professor of Cancer Genetics at St George's, University of London.
Sir Roger Penrose (born August 8, 1931), is a mathematical physicist, mathematician and philosopher of science. He is Emeritus Professor of Mathematics in the University of Oxford and Emeritus Fellow of Wadham College, Oxford. He is known for his work in mathematical physics, in particular for his contributions to general relativity and cosmology. He has received several prizes and awards, including a 1988 Wolf Prize for physics, which he shared with Stephen Hawking.
Sir Roger composed a problem devised "to defeat an artificially intelligent computer but be solvable for humans". The position itself and the logic behind the experiment is not compelling. Still, you may enjoy checking it with a chess engine.
Jonathan Penrose, OBE (born 7 October 1933) is a GM, both over the board and correspondence, who won the British Chess Championship ten times between 1958 and 1969. He is a psychologist and university lecturer by profession, with a PhD.
Oliver Penrose (born 6 June 1929) is a British theoretical physicist. He was associated with the Open University for seventeen years and was a Professor of Mathematics at Heriot-Watt University in Edinburgh from 1986 until his retirement in 1994 where he holds the title of Professor Emeritus.
His areas of interest include statistical mechanics, phase transitions in metals and physical chemistry of surfactants. He is particularly known for present-day understanding of superfluids and superconductors.
Other more abstract topics in which he has worked include understanding the physical basis for the direction of time and interpretations of quantum mechanics. He is the author of Foundations of Statistical Mechanics and his recreations include music and chess.
The following game was played by Oliver in round nine of the inaugural British Universities Chess Association individual championship, held at Trinity College, Cambridge in July of 1950.