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Starship inhabited for multiple generations
A generation ship, generation starship, or world ship is a hypothetical type of interstellar ark, a multi-generational space habitat and starship. It is
Generation_ship
Hypothetical technology
for a crewed interstellar starship or generation ship. It has led to the most detailed designs of generation ships to date. Its origins can be traced to
Project Hyperion (interstellar)
Project_Hyperion_(interstellar)
Class of cruise ships owned by Royal Caribbean International
Finland. There are two generations of Voyager-class ship which feature slight differences in design. The first generation ships, Voyager of the Seas, Explorer
Voyager-class_cruise_ship
Upcoming video game
on the Mayflower, a generation ship traveling through space carrying the last remnants of humanity to Proxima Centauri. The ship is run by three individuals:
Judas_(video_game)
Novel series by Greg Egan
launch a generation ship that exploits the distinctive relativistic effects present in this universe which allow far more time to elapse on the ship than
Orthogonal_(series)
Spacecraft designed for interstellar travel
Backward. Generation: Generation ships are ships in which the destination would be reached by descendants of the original passengers. These ships would necessarily
Starship
Hypothetical travel between stars or planetary systems
more slowly (far beyond the scale of a human lifetime) by making a generation ship. Hypothetical interstellar propulsion systems include nuclear pulse
Interstellar_travel
British nonprofit
in numerous media outlets. i4is has published on world ships, large interstellar generation ships and has presented its results at the ESA Interstellar
Initiative for Interstellar Studies
Initiative_for_Interstellar_Studies
2013 novel by James S. A. Corey
military fleets out to The Ring in a show of power. The OPA sends the generation ship Nauvoo, now repurposed as the military vessel Behemoth, under the command
Abaddon's_Gate
American science fiction film by Morten Tyldum
failures in the ship's systems. If left unrepaired, the ship will fail, dooming the passengers and crew. When Gus falls critically ill, the ship's automated
Passengers_(2016_film)
Proposed NASA design for space habitat
materials. The 2012 paper World Ships – Architectures & Feasibility Revisited proposed a generation ship (also called a world ship) based on the Stanford torus
Stanford_torus
U. S. Navy program
Next-Generation Logistics Ship (NGLS) is a programme being undertaken by the United States Navy to construct a fleet of medium-sized auxiliary ships that
Next-Generation Logistics Ship
Next-Generation_Logistics_Ship
Cruise ships are large passenger ships used mainly for vacationing. Unlike ocean liners which are primarily used for transportation across seas or oceans
List_of_largest_cruise_ships
France future aircraft carrier project
of aircraft on the ship will be: Jet fighters: up to 30 × Rafale M F5 the Rafale will eventually be replaced by the Next Generation Fighter of the FCAS
French aircraft carrier France Libre
French_aircraft_carrier_France_Libre
Space exploration concept
probe Embryo space colonization Generation ship Interstellar ark Interstellar travel Self-replicating machine Sleeper ship Space colonization Transcension
Self-replicating_spacecraft
1994 video game
that this "world" he and his people live on is not a planet but a generation ship sent from Earth (via Luna Colony) in May 2037. Its purpose was to colonize
Generations_Lost
2015 science fiction novel by Kim Stanley Robinson
science fiction author Kim Stanley Robinson. The novel concerns a generation ship built in the style of a Stanford torus, traveling to Tau Ceti to start
Aurora_(novel)
1991 novel by Frank M. Robinson
Literary Award winner, published by Orb Books. It tells the story of a generation ship and its crew on a long mission to search for extraterrestrial life
The_Dark_Beyond_the_Stars
Japanese manga series
"under-dweller" destined to become a Garde pilot, whose mission is to defend the generation ship Sidonia from a hostile alien species called Gauna. The manga was licensed
Knights_of_Sidonia
1958 science fiction novel by Brian Aldiss
Brian Aldiss. It is about problems that the inhabitants of a huge generation space ship face after an alien amino acid that they picked up on another planet
Non-Stop_(novel)
Hypothetical type of crewed starship
destination. Suspended animation is also required on ships that cannot be used as generation ships. Freezing the astronauts would probably involve whole-body
Sleeper_ship
2017 novel by Rivers Solomon
structural racism and generation ships. Solomon's first book, it was published by Akashic Books. On board the generation ship Matilda (named for the
An_Unkindness_of_Ghosts
2010 novel by Greg Bear
author Greg Bear. It was published on November 22, 2010. It is set on a generation ship that has lost its way under mysterious circumstances. Opening moments
Hull_Zero_Three
Ship built in 2021
it was awarded the "Next Generation Ship Award" during the business fair Nor-Shipping. In 2023, the ship has one sister ship, Havila Castor. "Havila Voyages
MS_Havila_Capella
ramjets Ursula K. Le Guin's NAFAL ships, and the Twin paradox Much slower than light Generation ship Sleeper ship Space stations Teleportation Teletransporter
List of science fiction themes
List_of_science_fiction_themes
Cohort born from 1997 to 2012
Generation Z, often shortened to Gen Z and informally known as Zoomers, is the demographic cohort succeeding Millennials and preceding Generation Alpha
Generation_Z
2011 novel by Greg Egan
technology needed for an effective defense shall be developed on board of a generation ship launched into the void while only a few years pass back on the home
The_Clockwork_Rocket
2009 film by Christian Alvart
and a rotating crew wake biennially to maintain the ship. Eight years into the mission, the ship receives a transmission from Earth: "You're all that's
Pandorum
Cruise ship operated by MSC Cruises
lead ship of the Meraviglia class, second ship, MSC Bellissima, entering service in 2019. Each vessel has a passenger capacity of 4,500. The ship design
MSC_Meraviglia
8th episode of the 3rd season of Star Trek: The Original Series
an inhabited generation ship. The Federation starship Enterprise is attacked by missiles, which are destroyed, originating from a ship disguised as a
For the World Is Hollow and I Have Touched the Sky
For_the_World_Is_Hollow_and_I_Have_Touched_the_Sky
2020 space opera novel by Simon Jimenez
music. The boy reveals that his name is Ahro. He was a slave on a generation ship crewed by musicians before a kind crew member helped him escape. Nia
The_Vanished_Birds
Topics referred to by the same term
(interstellar), preliminary study of a crewed interstellar starship or generation ship Hyperion (Hölderlin novel), a 1799 book by Friedrich Hölderlin Hyperion
Hyperion
Topics referred to by the same term
Generation or generations may also refer to: Generation (particle physics), a division of the elementary particles Generation in carrier generation and
Generation_(disambiguation)
2014 science fiction mystery drama TV miniseries
night for three consecutive nights. The story takes place aboard a generation ship launched in the 1960s and now half-way into its 100-year journey to
Ascension_(miniseries)
Thought experiment on the philosophy of identity
Prestige (film) Rogue Moon (novel) "Second Chances" (Star Trek: The Next Generation) Ship of Theseus Soma (video game) Stream of consciousness (psychology) Think
Teletransportation_paradox
2007 American film
object in the sky is The Ark, a generation ship containing the remnants of the human race, traveling for generations in search for a new home. They arrived
Battle_for_Terra
2008 film by Andrew Stanton
nicknamed AUTO, pilots the ship. McCrea is unprepared for the positive probe response, but discovers that placing the plant in the ship's Holo-Detector will trigger
WALL-E
26th episode of the 6th and 1st of the 7th season
of the American science fiction television series Star Trek: The Next Generation, the 152nd and 153rd episodes overall. Set in the 24th century, the series
Descent (Star Trek: The Next Generation)
Descent_(Star_Trek:_The_Next_Generation)
1963 SF novel by Robert A. Heinlein
fictional depictions of a generation ship – an interstellar "ark" travelling at sub-light speeds and requiring many generations to reach a "nearby" star
Orphans_of_the_Sky
Spacecraft that appear in the Star Trek franchise
Nine used numerous ship models created for The Next Generation and, later, Star Trek: First Contact (1996). Even as The Next Generation was ending, the actors
Spacecraft_in_Star_Trek
16th episode of the 5th season of Star Trek: Voyager
the Varro Generational Ship. Voyager stops to assist a xenophobic species known as the Varro. This species lives on a generational ship which has housed
The_Disease
Pinnacle-class cruise ship
"Fincantieri to Build a Next-Generation Ship for Cunard" (PDF). Fincantieri. 25 September 2017. Carnival Corporation to Build New Cruise Ship for Iconic Cunard Brand
MS_Queen_Anne
12th episode of the 6th season of Star Trek: The Next Generation
"Ship in a Bottle" is the 138th episode of the American science fiction television series Star Trek: The Next Generation, the 12th episode of the sixth
Ship in a Bottle (Star Trek: The Next Generation)
Ship_in_a_Bottle_(Star_Trek:_The_Next_Generation)
Air-cushioned landing craft
LCACs - News.USNI.org, 21 January 2016 TEXTRON SYSTEMS’ FIRST NEXT GENERATION SHIP TO SHORE CONNECTOR DELIVERED. Textron Systems. 9 March 2020. Benbow
Ship-to-Shore_Connector
American actress (1932–2008)
One (also in the original series), Lwaxana Troi (on Star Trek: The Next Generation and Star Trek: Deep Space Nine), and the voice of most onboard computer
Majel_Barrett
1982 novel by James P. Hogan
and Asia each send a generation ship to Alpha Centauri to take control of the colony. By the time that the first generation ship (the American Mayflower
Voyage_from_Yesteryear
1994 novel by Stephen Baxter
exploring the interior of the Sun, and that of the Great Northern, a generation ship on a five-million-year journey. The AI Lieserl is abandoned for five
Ring_(Baxter_novel)
American science fiction television series
Star Trek: The Next Generation (TNG) is an American science fiction television series created by Gene Roddenberry. It originally aired from September 28
Star Trek: The Next Generation
Star_Trek:_The_Next_Generation
as: Space settlement Orbital space station Cycler Interstellar ark Generation ship Extraterrestrial surface settlement (incl. extraterrestrial underground
Extraterrestrial_settlement
2012 American TV series or program
documentary details the technical and social complications of building a generation ship to save humanity and other Earth organisms by relocating to a planet
Evacuate_Earth
Science fiction short story written by Don Wilcox
settled by other colonists who arrived in faster ships. The underlying concept of a generation ship predates "The Voyage" by some time. Most notably,
The Voyage That Lasted 600 Years
The_Voyage_That_Lasted_600_Years
2002 novella by Ursula K. Le Guin
members of the fifth generation born on the ship. The story follows them as they deal with members of a religious cult who believe the ship ought not to stop
Paradises_Lost
1946 science fiction short story by Arthur C. Clarke
inventing radio. Humans do not possess faster-than-light ships, but have built generational starships in the hope that their descendants will one day
Rescue_Party
1985 science fiction novel by Larry Niven and Jerry Pournelle
"Sleepers" and the "Spaceborn", as the starship is both a generation ship and a sleeper ship. The original leaders are subordinate to the Spaceborn, who
Footfall
Type of space station, intended as a permanent settlement
celestial body, as well as cyclers and interstellar arks, as generation ships or world ships. Space settlements are a form of extraterrestrial settlements
Space_settlement
To use embryos isolated from humanity in space
of a generation ship. Passengers on a sleeper ship, and especially cargo of an embryo ship, could withstand far greater ɡ-forces. Sleeper ship proposals
Embryo_space_colonization
Norwegian container ship
Next Generation Ship competition. Unmanned surface vehicle "Yara Birkeland". Fincantieri. Retrieved 29 April 2026. "YARA BIRKELAND (Container Ship)". MarineTraffic
MV_Yara_Birkeland
1988 film by Neal Sundstrom and David Winters
the TV series Mystery Science Theater 3000. The Southern Sun is a generation ship, a spacefaring vessel that contains a large number of people, whose
Space_Mutiny
Science fantasy novels by Gene Wolfe
to the first two volumes. The Whorl of volume three's title is the generation ship setting of Long Sun. The Tor hardcover editions (see table) were almost
The_Book_of_the_Short_Sun
2017 Japanese animated film
Cetus via the interstellar emigration ship Aratrum (アラトラム号, Aratoramu-gō), while a second interstellar emigration ship known as the Oratio (オラティオ号, Oratio-gō)
Godzilla: Planet of the Monsters
Godzilla:_Planet_of_the_Monsters
pending construction of a dozen next-generation offshore patrol vessels (OPV) and two "Aegis system equipped ships" (ASEV) to provide dedicated sea-based
List of active Japan Maritime Self-Defense Force ships
List_of_active_Japan_Maritime_Self-Defense_Force_ships
1969 novel by Harry Harrison
valley is merely the central cavity of a huge generation ship. The Aztecs are its passengers, tended by the ship's crew in the caverns, the Observers, on a
Captive_Universe
Concept of permanent human habitation outside of Earth
embryo-carrying interstellar starship (EIS), much smaller than a generation ship or sleeper ship, transporting human embryos or DNA in a frozen or dormant state
Space_colonization
18th episode of the 5th season of Star Trek: The Next Generation
of the American science fiction television series Star Trek: The Next Generation, the 118th overall. It was originally released on March 23, 1992, in broadcast
Cause and Effect (Star Trek: The Next Generation)
Cause_and_Effect_(Star_Trek:_The_Next_Generation)
episode "For the World is Hollow and I Have Touched the Sky" features a generation ship, constructed out of a hollowed-out iron asteroid, propelled using "Orion
List of stories featuring nuclear pulse propulsion
List_of_stories_featuring_nuclear_pulse_propulsion
Series of fictional Star Trek spaceships
film featuring the Next Generation cast, Star Trek Generations (1994). The ship's engineering section is destroyed in Generations, but its saucer section
Starship_Enterprise
2012 video game
generation ship that lost contact with Earth some 600 years prior to the events of the game. For reasons initially unclear, society aboard the ship had
Analogue:_A_Hate_Story
2001 novel by Richard Paul Russo
Books under the name Unto Leviathan. The Argonos is a space-faring generation ship containing thousands of humans. The Argonos has presumably been traveling
Ship_of_Fools_(Russo_novel)
2011 novel by Beth Revis
American author Beth Revis. Chronicling the life of Amy Martin aboard a generation ship hundreds of years in the future, Across the Universe, the first novel
Across the Universe (novel series)
Across_the_Universe_(novel_series)
Norwegian shipbuilding company
the 100-mark. An add-on for the ship's stern, the X-STERN, was launched in 2014, and received the Next Generation Ship Award 2015. A third hull innovation
Ulstein_Group
2009 British science fiction novel by Toby Litt
British science fiction novel by Toby Litt about people living on a generation ship which is bound for another planet. It was Litt's tenth novel and was
Journey_into_Space_(book)
Indian stealth guided-missile frigates
Defence (MoD) headed by Minister of Defence Rajnath Singh for 7-8 next generation ships. The approval for other major projects and acquisitions like Future
Project_17B-class_frigate
Series of eleven patrol vessels for the Indian Navy
Thermal Imagers. The ship will have the ability to store Shyena torpedoes for helicopter. Future of the Indian Navy Next Generation Offshore Patrol Vessel
Shachi-class patrol vessel (2026)
Shachi-class_patrol_vessel_(2026)
Cruise ship
of the Seas is a cruise ship operated by Royal Caribbean International. She is a second generation Voyager-class cruise ship. Constructed at Kværner Masa-Yards
Navigator_of_the_Seas
2005 novel by Ken MacLeod
universe, "Lighting Out" and "Who's Afraid of Wolf 359?". A human generation ship named But the Sky, My Lady! The Sky! approaches the Destiny Star to
Learning_the_World
Planned class of warships in the Indian Navy
advanced missile vessels. Ships in this class will be armed with anti-ship missile or land-attack missile like BrahMos. Ships under this class will feature
Next Generation Missile Vessels
Next_Generation_Missile_Vessels
Discontinued US research program on the viability of nuclear pulse propulsion
Stephen Baxter's 2008 science fiction novel Ark employs an Orion-class generation ship to escape ecological disaster on Earth. Towards the conclusion of his
Project Orion (nuclear propulsion)
Project_Orion_(nuclear_propulsion)
Conceptual space vehicle for interstellar travel
Interplanetary Society to study uncrewed interstellar spacecraft. Generation ship R.W. Moir and W.L. Barr (2005) "Analysis of Interstellar Spacecraft
Interstellar_ark
progressed through technology cycles typically referred to as generations. Each generation has lasted approximately five years, during which the major console
History of video game consoles
History_of_video_game_consoles
Video game series
study space travel and constructing the parts required to launch a generation ship to Alpha Centauri. With culture elements in newer games, players can
Civilization_(series)
Swedish stealth missile corvettes
cancel the Visby Generation 2. Its ascension to NATO and the need for more capable platforms led to the decision to cancel the ship in favour of a clean
Visby-class_corvette
1966 science fiction novel by James White
underwater in a sunken ship, who survive by air pockets, and a water-breathing alien species in search of a new home. The two generation ships encounter each
The_Watch_Below
Dam in Yiling District, Hubei, China
underground plant began production. The last major component of the project, the ship lift, was completed in 2015. Each of the 32 turbines, considered state-of-the-art
Three_Gorges_Dam
Indian stealth guided missile destroyers
The Next Generation Destroyers (NGD), also referred to as Project-18 destroyer (P-18), are a class of planned stealth guided-missile destroyers to be built
Project_18-class_destroyer
Class of supercarriers for the U.S. Navy
power generation capability and the upgrade-driven increase in ship weight and erosion of the center-of-gravity margin needed to maintain ship stability
Gerald R. Ford-class aircraft carrier
Gerald_R._Ford-class_aircraft_carrier
1995 video game
exploration, diplomatic encounters, and tactical ship-to-ship combat. The cast of Star Trek: The Next Generation reprise their roles, providing the voices of
Star Trek: The Next Generation – A Final Unity
Star_Trek:_The_Next_Generation_–_A_Final_Unity
U.S. technology of unmanning surface vehicle
In 2022, ship designer Serco was selected to develop the NOMARS program through building, testing, and demonstrating the first generation ship. In December
NOMARS
Technology on Space Stations & Closed Ecosystems
dealing with the life-support systems of a long-term craft (such as a generation ship) or a settlement. The aim of CELSS is to create a regenerative environment
Controlled ecological life-support system
Controlled_ecological_life-support_system
Science fiction television series
humanity builds a multi-generational starship called Earthship Ark, 50 miles (80 km) wide and 200 miles (320 km) long. The ship contains dozens of biospheres
The_Starlost
Topics referred to by the same term
may also refer to: "Ship in a Bottle" (song) "Ship in a Bottle" (Bagpuss) "Ship in a Bottle" (Star Trek: The Next Generation) Ship in a Bottle fuel tank
Ship in a bottle (disambiguation)
Ship_in_a_bottle_(disambiguation)
Use of circular rotational force to mimic gravity
various space stations and spaceships. Notably, Tycho Station and the Generation ship LDSS Nauvoo use rotational gravity. Linear gravity is provided by a
Artificial_gravity
1990 video game
Phantasy Star III: Generations of Doom, known in Japan as Successors of Time: Phantasy Star III, is a 1990 role-playing video game developed and published
Phantasy_Star_III
Cruise ship operated by MSC Cruises
June 2020. "Coming in 2019: MSC Grandiosa, the first Meraviglia Plus Generation ship". MSC Cruises. Archived from the original on 19 August 2020. Retrieved
MSC_Grandiosa
9th episode of the 1st series of Space: 1999
Aldiss' novel Non-Stop, involving two disparate cultures existing on a generation ship. Guest star Joan Collins was already a science-fiction icon at the
Mission_of_the_Darians
Indian Coast Guard offshore patrol vessel
The Next Generation Offshore Patrol Vessel is a series of six offshore patrol vesssel (OPVs) being built for the Indian Coast Guard by Mazagon Dock in
Next Generation Offshore Patrol Vessel (Indian Coast Guard)
Next_Generation_Offshore_Patrol_Vessel_(Indian_Coast_Guard)
Tabletop science fiction role-playing game
adventure written by Jobe Bittman. The adventure ignores much of the generation ship concept of Metamorphosis Alpha. Bittman uses post apocalyptic locations
Metamorphosis_Alpha
21st episode of the 2nd season of Star Trek: The Next Generation
(April 2, 2013). "13 Awesome Star Trek Ships". WhatCulture.com. Retrieved June 27, 2019. "Star Trek: The Next Generation Nielsen Ratings – Seasons 1–2". TrekNation
Peak Performance (Star Trek: The Next Generation)
Peak_Performance_(Star_Trek:_The_Next_Generation)
Turkish Family of short-range to long-range surface to air missile systems
produced by Roketsan as a close-in air defense missile for the new generation ships of the Turkish Navy. It was first introduced to the public in 2021
Levent_(missile)
U.S. guided-missile frigates under construction
or FREMM. Constellation follows the modular but troubled littoral combat ships of the Freedom and Independence classes. The U.S. Navy announced the FFG(X)
Constellation-class_frigate
1973 science fiction novel by Robert A. Heinlein
Fear No Evil. Later in the book, a character reports the fate of the generation ship Vanguard, from Heinlein's Orphans of the Sky: it was found derelict
Time_Enough_for_Love
GENERATION SHIP
GENERATION SHIP
Girl/Female
Biblical
A generation.
Boy/Male
Indian
New Generation
Boy/Male
Gujarati, Hindu, Indian, Kannada
Era; Generation
Boy/Male
Muslim
Old generation
Boy/Male
Tamil
Forthcoming generation
Boy/Male
Japanese Welsh
Large; generation.
Boy/Male
Indian
Young Generation
Girl/Female
Indian
Generation
Boy/Male
Biblical
Nativity, generation.
Girl/Female
Biblical
Nativity, generation.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi
Generation; Coming Generation of Father; Family
Boy/Male
Tamil
Young generation
Boy/Male
Hindu, Indian
Young Generation
Boy/Male
Indian, Punjabi, Sikh
New Generation
Boy/Male
British, Czech, Hindu, Indian
New Generation
Girl/Female
Biblical
Birth, generation.
Boy/Male
Biblical
Nativity, generation.
Girl/Female
Indian, Tamil
Generation
Girl/Female
Biblical
Generation, habitation.
Boy/Male
Biblical, British, English
Nativity; Generation
GENERATION SHIP
GENERATION SHIP
Girl/Female
Tamil
Bhavanagamya | பாவாநாகமà¯à®¯à®¾
Goddess Durga
Girl/Female
Australian, Danish, Dutch, Finnish, German, Swedish
Christ's Birthday
Boy/Male
Norse
Son of Hrani.
Boy/Male
Hindu, Indian, Sanskrit
United
Biblical
remedy; medicine; release; pardon
Boy/Male
Tamil
Super
Surname or Lastname
English
English : nickname from Old French fin ‘fine’, ‘splendid’ + amour ‘love’ (Latin amor).
Boy/Male
Tamil
Heart
Girl/Female
Arabic, Indian, Muslim, Pakistani, Traditional, Urdu
Queen of India
Girl/Female
Irish
Goodness.
GENERATION SHIP
GENERATION SHIP
GENERATION SHIP
GENERATION SHIP
GENERATION SHIP
n.
Origination by some process, mathematical, chemical, or vital; production; formation; as, the generation of sounds, of gases, of curves, etc.
n.
Acuteness; insight; sharp discoverment; sagacity; as, a person of singular penetration.
n.
Spontaneous generation.
a.
Pertaining to generation, or to the generative organs.
n.
The reproduction or renewal of tissues, cells, etc., which have been used up and destroyed by the ordinary processes of life; as, the continual regeneration of the epithelial cells of the body, or the regeneration of the contractile substance of muscle.
n.
The reproduction of a part which has been removed or destroyed; re-formation; -- a process especially characteristic of a many of the lower animals; as, the regeneration of lost feelers, limbs, and claws by spiders and crabs.
n.
Generation by means of ova. See Generation.
n.
An apparatus in which vapor or gas is formed from a liquid or solid by means of heat or chemical process, as a steam boiler, gas retort, or vessel for generating carbonic acid gas, etc.
n.
That form of alternate generation in which two kinds of sexual generation, or a sexual and a parthenogenetic generation, alternate; -- in distinction from metagenesis, where sexual and asexual generations alternate.
n.
Same as Generation.
n.
The act of generating or begetting; procreation, as of animals.
a.
Having the power of generating, propagating, originating, or producing.
n.
That condition of a tissue or an organ in which its vitality has become either diminished or perverted; a substitution of a lower for a higher form of structure; as, fatty degeneration of the liver.
n.
Generation; procreation; birth.
n.
Alternate generation. See under Generation.
n.
The union of parts which have been severed, so that they become anatomically perfect; as, the regeneration of a nerve.
n.
Race; generation; birth.
v. i.
Generation.
n.
The principal sound or sounds by which others are produced; the fundamental note or root of the common chord; -- called also generating tone.
n.
The formation or production of any geometrical magnitude, as a line, a surface, a solid, by the motion, in accordance with a mathematical law, of a point or a magnitude; as, the generation of a line or curve by the motion of a point, of a surface by a line, a sphere by a semicircle, etc.