Farey Tree
Farey is the surname of: * Cyril Farey (1888–1954), British architect and architectural illustrator * John Farey Sr. (1766–1826), English geologist * John Farey Jr. (1791–1851), English mechanical engineer, son of John Farey Sr. * Joseph Farey (1796–1829), English mechanical engineer and draughtsman, son of John Farey Sr. * Lizzie Farey (born 1962), Scottish artist See also *Farey sequence In mathematics, the Farey sequence of order ''n'' is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, which have denominators less than or equal to ''n'', arranged in order of increasing size. Wi ...

Cyril Farey
Cyril Arthur Farey (1888–1954) was a British people, British architect and architectural illustrator, known most widely for his detailed pencil and watercolour Perspective (graphical), perspective depictions of architectural and engineering landmarks in the first half of the 20th century. Early life and education Born in London in 1888, he was educated at Tonbridge School and served his articles in the offices of architect Horace Field between 1911 and 1913, attending the Architectural Association School of Architecture, Architectural Association and the Royal Academy of Arts, Royal Academy School of Architecture. Winner of the RA Schools Bronze Medal in 1911, Farey subsequently won the Tite Prize in 1913, the Soane Medallion in 1914, and in 1921 both the Edward Stott Travelling Studentship prize and the Royal Academy Gold Medal. He was nominated as an Associate of the Royal Institute of British Architects in 1918 and became a Fellow in 1941. During the First World War he ser ...
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John Farey Sr
John Farey Sr. (24 September 1766 – 6 January 1826) was an English geologist and writer best known for Farey sequence, a mathematical construct that is named after him. Biography Youth and early career Farey was born on 24 September 1766 at Woburn, Bedfordshire, Woburn in Bedfordshire to John Farey (1728–1798) and his second wife, Rachel (''née'' Wright) (1732–1804), a Wesleyan Methodist. He was educated at Halifax, West Yorkshire, Halifax in Yorkshire, and showed such aptitude in mathematics, drawing and surveying, that he was brought under the notice of John Smeaton (1724–1792). After his education he moved to London, where he had relatives, and worked there for a number of years, during which time he met and married, Sophia Hubert (1770–1830). While in London they had their first child John Farey Jr.Alec Skempton.Farey, Jr., John" in: ''A Biographical Dictionary of Civil Engineers in Great Britain and Ireland: 1500–1830.'' 2002. p. 223-224 They went on to have e ...
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John Farey Jr
John Farey Jr. (20 March 1791 – 17 July 1851) was an English mechanical engineer, consulting engineer and patent attorney, known for his pioneering contributions in the field of mechanical engineering. Alec Skempton.Farey, Jr., John" in: ''A Biographical Dictionary of Civil Engineers in Great Britain and Ireland: 1500–1830.'' 2002. p. 223-224 As consulting engineer Farey worked for many well-known inventors of the later Industrial Revolution, and was a witness to a number of parliamentary enquiries, inquests and court cases, and on occasion acted as an arbitrator. He was polymathic in his interests and contributed text and drawings to a number of periodicals and encyclopaedias. Farey is also remembered as the first English inventor of the ellipsograph, an instrument used by draughtsmen to inscribe ellipses. Biography Youth and education Born 20 March 1791, in Lambeth, Farey was the eldest son of John Farey Sr. (1766–1826), the geologist, and Sophia Hubert (1770–18 ...
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Joseph Farey
Joseph Farey (1796–1829) was an English mechanical engineer and draughtsman. He was the third son of John Farey, Sr. (1766–1826) and Sophia Hubert (1770–1830) and was born at Potsgrove, Bedfordshire. He was the brother of John Farey, Jr. Nothing is known of his education, but he was a talented draughtsman. He was part of the family business of assisting inventors in developing new machines and preparing patent specifications, and for publishers preparing descriptive texts and drawings. As well as technical and scientific periodicals he helped illustrate ''Rees's Cyclopædia'' (1802–1819), '' Smeaton's Reports'', (1812), '' Pantologia'' (1808) and the '' British Encyclopedia, or Dictionary of Arts and Sciences'' 1808. He became a member of the Institution of Civil Engineers The Institution of Civil Engineers (ICE) is an independent professional association for civil engineers and a Charitable organization, charitable body in the United Kingdom. Based in London, IC ...
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Lizzie Farey
Lizzie Farey (born 1962) is a contemporary willow sculptor and artist based in the Stewartry in Galloway, Scotland. She designs and creates wall sculptures and 3D forms using her own grown and harvested willow, as well as other local woods such as ash, hazel, birch catkins and larch. Her work is inspired by the natural landscape that surrounds her home and studio, and draws on influences from Japan in her approach to capturing the simplicity, practicality and beauty of the materials. Early life and education Farey was born in 1962 in Singapore. She studied at Canterbury College of Art and Cardiff College of Art. She turned to basketry in 1991, learning from her sister-in-law in North Wales. Influences According to Farey she is influenced by the "hills, lochs, larch and heather" of the Galloway countryside where she lives and works. She is beholden to the cycles of nature, growing willow in nearby farmer's fields and collecting ash and other materials from the hedgerows. ...
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