"And that, my liege, is how we know the Earth to be banana-shaped."Since the most prominent force in shaping a molten proto-object large enough to later be called a planet is gravity, worlds in real life tend to be roughly spherical in shape. This is also why there is a direct relationship between the size of a lump of rock floating through space and its degree of roundness. However, some Speculative Fiction and Fantasy series, in order to drive home the point that they do not take place anywhere resembling Earth, have their heroes adventuring on a planet with a totally different and often quite improbable shape. Common world shapes:
— Sir Bedevere, Monty Python and the Holy Grail
- Spherical - Typically, a world is assumed to be a sphere unless specified otherwise. However, it is somewhat poorly portrayed in video games, where an effectively toroid world is easier to implement. See below.
- Shapes we don't normally encounter - Alien Geometries, shapes with dimensions from four on up, hyperfolds, things only mathematicians and madmen can visualize, etc.
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Anime and Manga
- Prester in Last Exile is hourglass shaped, and rotates around the waist for gravity. The bottom of each 'bell' forms the surface for each half, and the atmosphere is shared through a massive cyclonic structure at the 'waist'. The temperature difference between the two bells is the driving force of the conflict between their respective inhabitants.
- File Island in the last arc of Digimon Adventure is a huge pyramid with several sides, twisted in a spiraling shape.
- In Tsutomu Nihei's Biomega, the badguys' schemes eventually result in the creation of a bizarre new world which is shaped like a giant worm, tens of millions of miles long.
- The ending song of the Fighting Foodons anime series reveals the planet everyone is on to be shaped like a soup bowl.
- An episode of Outlaw Star featured a planet with such a high rate of rotation that it was distorted into an oval spheroid.
- In the DCU's Bizarro Universe, Bizarro Earth (sometimes called Htrae) is shaped like a cube.
- The Micronauts in the Marvel Comics adaption originated on Homeworld, a planet shaped like a classroom model of a segment of DNA; a dozen spheres linked by cylinders, arranged in two connected rows like a ladder.
- The Guardians of the Galaxy encountered the Topographical Man, an inhabited planet-sized humanoid.
- During the Emperor Joker storyline, it is revealed that, due to the Joker gaining 99% of the prankster Mr. Mxyzptlx's power, he now is an Insane Reality Warper, and reshapes the Earth into a Cube, with the continents shaped in his visage. Oddly enough, the Moon seems to remain a sphere.
- During an arc in Bloom County, Opus is put on trial for teaching "Penguin evolution", in a riff on Inherit the Wind. At one point, the prosecution introduces an expert witness on the subject of "penguin creationism". Unfortunately for the prosecution, the witness is a bit of a Cloud Cuckoo Lander;
Witness: Penguin evolution is a myth.Prosecution: The state rests.Witness: Also, the world isn't round.Prosecution: [angry aside] Save it!Witness: Yep, it's shaped like a burrito!
- In El Quinto Centenario (written to celebrate the 500th anniversary of Columbus' First Travel), Columbus shows several potential forms, including Flat Earth, a tetrahedron and... something that looks like an Eduardo Chillida statue.
- Each habitat in Qumi-Qumi is patterned after a certain shape: Juma-Qumi is square, Yumi-Qumi is triangular, and Schumi-Qumi is circular. This is highlighted in each of the shapes of the tribes that live on that habitat.
- Monty Python and the Holy Grail. See the page quote. Of course, don't take this seriously.
- The Magratheans in The Hitchhiker's Guide to the Galaxy made a business out of building planets to order until the universe's economy tanked. In the movie, this extended to planets in such shapes as octohedral.
- Philip José Farmer's World of Tiers took the form of a world-sized wedding cake, just that the layers (tiers) are way wider than they are tall. And the top layer doesn't have a bride and groom standing on it.
- C. S. Lewis's unfinished novel The Dark Tower features Othertime, which is presumably spherical, but which the inhabitants believe to be saucer-shaped. (Flat, but you can't get to the edge because gravity drags you back to the center. Of course.)
- Arthur C. Clarke's short story "The Wall of Darkness" is set on a world shaped like a Klein bottle.
- The later Xanth books introduce Ida's moon which contains a complete copy of the world except slightly shifted. Naturally Ida exists on that moon and has a moon and so on. All of the shapes from spheres to discs to toroids to dumbbells to spirals to floating islands show up as one progresses down the chain of moons.
- Don't forget that Xanth itself is the shape of Florida, albeit with more varied terrain. Leaving the magical area of Xanth results in entering Mundania (Earth).
- The world in Esther Friesner's Majyk By Accident trilogy keeps changing its shape, due to being over-saturated with magic. At present it looks like a Moebius strip.
- Well World is spherical, but the surface and atmosphere are divided into hexagons, with a hundred-miles-tall band around the equator.
- Atherton: The House of Power is a satellite shaped like a traditional wedding cake with three layers. Except that the layers move up and down unexpectedly.
- Christopher Priest's The Inverted World takes place in an universe where planets and stars are shaped like hyperboloids of rotation while at the same time being the regular old universe and the regular old planet Earth for other people unaffected by the book's Applied Phlebotinum.
- Not Quite Truth in Television: In the early years of the 20th century some "scientists" — I mean magazine writers willing to attribute their ideas to vague "men of science" apparently believed that as the Earth cooled it would assume a tetrahedral shape.
- In Columbus by D'Aulaire there's a page with a few unusual globes that includes ones that look like an American Football (or a rugby ball if you prefer), a gourd (or a dumbbell), and a cylinder.
- In the Culture series by Iain M. Banks, Matter introduces the Shellworlds: Spherical worlds tens of thousands of kilometers across, with fifteen concentric habitable layers, each a separate world of its own.
- Robert L. Forward's Rocheworld has two egg-shaped planets orbiting so closely around each other that they share atmosphere, and come to conical points at the ends nearest each other. Oceans can even flow between them under certain circumstances. The oddest thing is that this bizarre world-shape uses real-world physics, and double stars with this configuration have been found.
- Mandala, by David Bischoff, was set primarily on an icosahedral world.
- In an early Discworld novel, characters get a glimpse of some other worlds, including one based on the Norse conception of the world as a flat disc surrounded by the Midgard serpent, and one where an enormous tree sits at the hub.
According to The Creator (the guy who made the universe) most worlds and universes he makes are flat worlds. There was one universe he forgot to put edges on the planets though...
- Terry Pratchett's The Dark Side of the Sun has a planet made entirely of water, and two stars twisted into linked toruses.
- In The Science of Discworld, the wizards keep trying to build a giant turtle out of rock so Roundworld can have a "proper" world in it, but it keeps collapsing into an unsatisfactory spherical mass.
- Mesklin in Hal Clement's Mission of Gravity spins so rapidly that it's lens-shaped rather than spherical. However, due to the planet's intense gravity, the density of Mesklin's atmosphere varies so strongly with altitude that refraction makes it look bowl-shaped. The Mesklinites can "see" that the world curves up around them, so they believe that they live in a giant bowl. They are skilled sailors and map-makers and should know better, however when you are measuring distances on a curved surface, there are two different shapes that will make all the math work out (convex and concave). The Mesklinites choose the wrong one for their maps and never notice. (Also the Mesklinites living on the northern hemisphere have apparently never before crossed the equator to the other side and therefore didn't know that they were wrong all along.) The result is perfectly accurate and usable maps based on a fundamentally flawed premise.
- Human kind in Glasshouse by Charles Stross is spread throughout a huge number of space stations and spacecraft in deepspace, all linked together by an even greater number of wormholes. This often results in bafflingly complex geometries and TARDIS-like effects where different rooms and floors of what appear to be a single contiguous building need have no geometric relationship to each other at all, once you enter them. This can make some regions impossible to navigate without computer assistance.
- In Adam Roberts's novel On, the earthlike (later revealed to be Earth itself) planet is a sphere, but due to some possible Hollywood Science, gravity has flipped 90 degrees and now works east (spinward?). Therefore, the entire planet is basically a collection of cliffs and sloped plains, the former plains and mountains. Most inhabitants believe that they live on an endless wall and that the sun rises (literally) from bottom to top. The North Pole is a very strange place.
- After reading the description of the world Katrin created in the Myst novel many geophysicists need to go have a little lie down.
- Stephen Baxter's short story collection Vacuum Diagrams has two examples. The story "Vacuum Diagrams" features a perfect cube large enough to have its own gravity. Standing on the flat surface, it appears to be hyperbolically curved, with the horizon ending in four enormous mountains. The stories "Shell" and "The Eighth Room" feature a planet Earth that is a four-dimensional sphere. Due to this Alien Geometry, each place on the Earth appears to be the interior of a hollow sphere, with the 'other' Earth hovering in the center of it, or a curved surface which is surrounded by a 'sky' which is the surface of the 'other' Earth. In fact 'both' of these 'worlds' are three-dimensional surfsces of the four-dimensional sphere.
- A story in the 1990s incarnation of Amazing Stories was set on a world that was spherical, but with more than 360 degrees of rotation. In other words, if you sail 360 degrees eastward you end up somewhere that has the same time zone as your origin, but which isn't the same place.
- In Alastair Reynold's novel Absolution Gap, the gas giant Haldora, which is actually an alien artifact briefly appears cubic when it is shot at.
- In Greg Egan's trilogy Orthogonal, the entire universe seemingly has the topology of a torus, though the only reason the characters believe this is that it's the only way to make its physics consistent; they haven't actually gone all the way around in any direction.
- Both Heaven and Hell in The Salvation War have bizarre topology where they are hollow worlds that have an inner surface, but lack an outer one. If you dig down long enough you'd simply exit somewhere else.
- Arda in The Silmarillion was implied to be originally flat, and only became spherical after the sinking of Númenor.
- Larry Niven's The Integral Trees takes place in the "Smoke Ring", a 'world' which is just a breathable ring of gas around a neutron star.
- Elric at the End of Time, by Michael Moorcock has two landscapes, each hanging in the other's sky. Elric is astounded by the sight, while to the ultra-powerful yet rather shallow inhabitants of the End of Time it's about as remarkable as a new patio. A Rodney Matthews illustration of the story was designed to be viewed both ways up, effectively giving two illustrations for the price of one.
- While the planet itself is round, Moth from the Humanx Commonwealth novels has uniquely-shaped ornamentation: it's a winged world, as it used to sport Saturn-like rings, but these were disrupted by a near-miss from a dwarf planet and split into two sections.
- In the Doctor Who New Adventures novel Sky Pirates!, the pocket dimension known as The System comprised four Single Biome Planets all of extremely unusual shape: Possibly the most normal is Prometheus, a desert planet shaped like a large bowl. The water world Elysium is actually a globe, but it's also a vast blob of water with no actual planet beneath it. Aneas is a jungle planet shaped like a giant tree, and Reklon is an ice planet shaped like a snowman, complete with pipe and silly hat.
- I Hate Dragons takes place on a cubic world. All of the protagonists (except for one) are Sixthfacers and hence have random magical powers known as "knacks" (Skip, the primary character, can hear spelling, hear punctuation, and smells so delicious to dragons that they go crazy with the desire to eat him). One of the protagonists is a sorceress from Dawnface (the only face to have sorcery, apparantly), while the dragons are known to have originated on Drakeface.
- The Bible: "After this I saw four angels standing at the four corners of the earth …" (Revelation 7:1). This is consistent with the Earth being a tetrahedron.
Live Action TV
- Castrovalva in the Doctor Who serial of the same name. Revealed as such when the pharmacist is asked to draw a map of the city, and marks his pharmacy as being at the top, and the bottom, and to the west, and to the east, although there is only one shop.
- Lexx had a ringed planet with an unexplained donut hole through the middle.
- Dungeons & Dragons. The known planes of existence include both finite and infinite flat worlds (including one with two flat, populated surfaces "facing each other"), cubic planets, planets that are giant mountains etc. etc.
- Ysgard (Chaotic Neutral-Chaotic Good) is composed of three layers: Ysgard proper (hovering mountains foth fire on one side), below that is Muspelheim (mountains further apart and fire-side up) and Nidavellir (underground tunnels full of geothermal activity).
- Limbo (Chaotic Neutral) is an infinite shifting storm of the four elements.
- Pandemonium (Chaotic Neutral-Chaotic Evil)is an endless series of caves that acts as a world-sized out-of-tune woodwind instrument that will drive you insane if you stay there for too long.
- The Abyss (Chaotic Evil) is infinite layers of mind-bending horrors. They never go into detail as to what they look like, but it's not a leap to assume that every world shape is eventually accounted for.
- Carceri (Chaotic Evil-Neutral Evil) is an infinite series of concentric spheres, each of limited size. In First Edition, each plane of Carceri was occupied by an infinite number of planets arranged like strings of pearls, and descending to the next layer took you to a smaller version of the planet you started on (on the first layer the planets were physically connected; each subsequent layer increased the distance between surfaces).
- Hades (Neutral Evil) is three flat, blasted wastelands that meet in the City In The Center◊
- Gehenna (Lawful Evil-Neutral Evil) is a trio of volcanoes of limited size. In First Edition, it was three infinite flat plains... on which gravity functioned at 45 degrees to horizontal.
- Baator (Lawful Evil) is shaped like Dante's Inferno—concentric ledges, each of infinite size.
- Acheron (Lawful Neutral-Lawful Evil) is four classic-style dense asteroid belts, each layer with unique asteroid shapes, the best-known of which is just cubes, as far as the eye can see.
- Mechanus (Lawful Neutral) is a continent-sized gear powering smaller gears going off in all directions.
- Arcadia (Lawful-Lawful Good) is two flat layers, the lower of which is mostly gardens for some reason, and the upper of which has a mountain where the sun spins atop it like a basketball on a Globetrotter's finger.
- Celestia (Lawful Good), viewed from afar, is an enormous mountain surrounded by an infinite sea of holy water. Those on the mountain view it as divided into seven layers, each smaller than the last, and each of infinite size.
- Bytopia (Lawful Good-Neutral Good) is two layers arranged sandwich-style with a few mountains connecting the two. One layer is domesticated farmland, the other a somewhat harsh wilderness; natives can move from one to the other as they please.
- Elysium (Neutral Good) is the opposite number to Hades, but still flat.
- The Beastlands (Chaotic Good-Neutral Good) are three planes of wilderness: one of eternal day, one twilight, and the last night.
- Arborea (Chaotic Good) is three flat layers: one an exaggerated realm of incredibly huge mountains and forests of giant trees, one infinite shallow ocean, and one dusty desert.
- Outland (Neutral), outside of the city of Sigil, has a ring of sixteen cities, each around a gate to one of the other planes. The cities mark the edge of normal space, and one can travel for months beyond the cities and it will only ever take days to return to them.
- The Far Realms (???), which contains an infinite number of not quite really parallel layers, each of which ranges from inches to miles thick. It's often possible to perceive multiple layers simultaneously. These layers can grow, spawn further layers, breathe and possibly die.
- While the Astral Plane doesn't technically have landscape, it does serve as a sort of elephant's graveyard for dead and forgotten deities, whose gargantuan petrified bodies drift in the void. Some of them have been colonized by githyanki or other Astral residents.
- In the Planescape setting of Dungeons & Dragons, while the plane of the Outlands is, presumably, a flat world, its most interesting feature, the planar trade hub of Sigil, is built on the inside of a toroid that floats above the spire at the plane's center. The first books even had special rules for getting disoriented when you look up and see more city instead of sky.
- The Ravenloft setting apparently consists of chunks of landscape adrift in a Mist-filled void. Differs from World in the Sky in that this arrangement is highly unpredictable and tenuous: cross the Misty borders, whether by walking, riding, or even sailing, and it's anyone's guess where (or if!) you'll come out.
- The World Builder's Guidebook, a vintage Dungeons & Dragons supplement, discusses possible shapes for worlds that DMs can choose among, including spheres, inverted spheres, flat planes, cylinders, toroids, and the shapes of gaming dice.
- In Reign, the known world is shaped like two people lying down in a pool of water, with one resting an arm on the other. Rendered in three dimensions. This leads to some unusual properties — for instance, the ocean is at a 90 degree angle to the shore; gravity is relative so sea travel still works, but boarding a ship can be tricky. A picture is available on the official site, if you're having trouble visualizing it.
- The setting of Exalted is a rather large Flat World.
- Warhammer 40,000, many planets in the Screaming Vortex have impossible shapes, either due to the Immaterium's reality-warping nature, or because a Deamon Prince shaped it to their whim (one such example is a planet shaped like a giant, grinning skull). One of the most noteworthy planets is "The Hollows", a forge world where the Dark Mechanicus ate away at the southern hemisphere with deep-core mining technology until the entire planet consisting of only an upper hemisphere with a thick, gnarled stem of rock jutting from beneath, making the planet look like a rotten, half-eaten fruit.
- Cosmic Osmo has everything from a cardboard diorama to a stellated polyhedron.
- In Halo you have the Halos (Halo: Combat Evolved and Halo 2), which are ringworlds; the Ark (Halo 3) which is shaped like a flower; and the Shield World (Halo Wars) and Requiem (Halo 4), which are Micro Dyson Spheres.
- The Kirby series is full of oddly shaped planets. These range from vaguely acceptable - chunks of rock orbiting each other, a gigantic drop of water - to downright silly. A heart-shaped planet with a smiley face and rings with ribbons on them?
- Kirby's home planet Pop Star is shaped like a yellow five pointed star with a couple of rings orbiting it.
- Meteos pulls off most of the tropes on this page and probably more.
- The world in Phantasy Star III was made of six roughly round portions joined by tubes. As it turns out, it's really a spaceship.
- Super Mario Galaxy. Pick a shape, any shape. Some worlds are spheres, some are cylinders, and at least one is peanut-shaped. All have gravity perpendicular to the surface.
- It gets even better in the sequel, which features a planet shaped like Mario's head that's been fitted with engines and turned into a Faceship.
- In Relentless and its sequel Twinsen's Odyssey, the world in question, Twinsun, is spherical, but exists at the barycenter of a binary system. One that, thankfully, has a rather distant orbit. The result? Tropical poles and a giant frozen "ring" around the equator (and presumably no such thing as night, but that's a different matter.)
- It is stated in the endgame that some or all of the worlds on which the Might and Magic series takes place are actually giant spaceships. The worlds of the fourth and fifth games are the front and backside of a large flat rectangle; playing both games in sequence gives you an extra endgame that (somehow) lets you combine these into a sphere.
- Torin's Passage is set on a series of concentric hollow spheres; the main character starts the game on the outermost and has to work his way to the inside of the innermost, where he is in zero-gravity and has to make his way around by using a bagpipe to expel air in the opposite direction.
- The basic structure of the world is similar in Septerra Core, with the addition that the planet has a clockwork core. Each layer is actually a set of disconnected islands that rotates on its own axis. So, you can see lower layers in the gaps between islands and through holes, with each layer receiving less and less sunlight through the gaps as you get lower (and thus each layer becomes increasingly dark and hellish as you go down). A major plot point involves the rare occurrence of the layers lining up so that a single beam of sunlight reaches the core.
- The world map visable during the character select screen of Darkstalkers appears to be some kind of triangular mobius strip.
- Tales of Eternia (Tales of Destiny 2 in the US) has a universe consisting of two flat edge-warping worlds that face one another, so each world is effectively the other's sky. A sun dispensing variable illumination is lodged in an energy barrier that keeps the two worlds apart.
- Spore allows for cube-shaped planets to be randomly generated.
- In Xenoblade, the world is entirely made up of the bodies of two Physical Gods who either killed or incapacitated each other in combat. There is nothing beneath them but an infinite plain of shallow, empty ocean, and the stars above them are not actual stars, but "ether" light.
- Discussed in the Blazing Dragons (which oddly enough, with the page quote, was written by Terry Jones). At one point the smart knight announces he was rewarded with a ribbon for deducing the world was the shape of a duck...he was in an insane asylum at the time, take that as you please.
- The Eighth, the world of Deadly Rooms of Death, is shaped like an eighth of a pie, which is contained in a wrap-around universe.
- Most Role Playing Games with a Global Airship would actually end up donut-shaped (keep going north and you end up on the same place on the south edge of the map), though Chrono Trigger's credits imply a spherical world.
- Even the torus model does not accurately describe these worlds, or else the time it took to travel on the toroidal axis would depend on your position on the poloidal axis.
- In Taming Dreams, Alora Fane is usually depicted as a flower with six petals (although this is implied to be an abstraction), with each petal constituting it's own separate world, with the implication that something more than a Global Airship is required to get from one world to the next. That said, Mardek's father Enki managed to travel from Mji Mkuu to the Bronze Archipelago somehow, and the Meek race is spread to each of the six petals.
- The titular planet from Shadow Of The Wool Ball, true to its name, apparently resembles a giant ball of wool (with drooping loose bits of tread) when observed from a distance.
- The world of Rice Boy is a typical flat disk world spinning like a coin, with the notable deviation that both sides are inhabited. The vast majority of the story takes place in Overside, but the eponymous Rice Boy eventually traces his own origins to Underside
- Triangle and Robert's four-dimensional "hypertaco" Earth is not healthy to visualise.
- The Imaginary Universe in MS Paint Adventures: Problem Sleuth consists of two seemingly-spherical lands on opposite sides of a typical spatial void containing a way-small sun and moon and at least one Floating Continent, the two worlds connected by a single gigantic 133,331-story cathedral. It is either heavily implied or outrightly stated that the Imaginary Universe is much, much "wider" than it is "tall". If none of that is making sense, there's a picture of it here◊.
- The Battlefield, from i's sister series Homestuck, actually changes shape. It starts as small flat world, then becomes a larger flat world, then a cube, then finally ends up as a sphere.
- Schlock Mercenary
- The world Zoojacks in is literally shaped like a pair of toy jacks.
- Also the Enireth-built Tinth, which are shaped like giant sandwiches. Yes, the strip linked to refers to the Tinth-Philkra system, but strictly speaking it's the Philkra system, and was renamed by popular mistake as everyone assumed the Tinth-Philkra Dialogues were named for the system, rather than the hypernet node of origin (on Tinth-III, in the Philkra system).
- Pastel Defender Heliotrope:
- Some toroid-shaped worlds are seen briefly, but not visited.
- Also seen: worlds shaped like endless living strands, worlds shaped like... this, and worlds shaped like scary alien tendrils.
- The very worlds/continents of Pastel count. They are rectangular sandwitch-things, made of two layers of ground around a central layer of... gravity. As in, a strange mineral that causes attraction to itself, but only on a single universal axis; all the rectangles are perpendicular to this axis, so things "stick" to both sides, but things outside of it are in zero-g, even if they are right to the side of one. You can also dig out the central layer, creating zones of zero-g wherever you want them. Furthermore, all the rectangles are always moving in the same direction, towards the edge of the universe where they get ground up to power one of the superweapons sent against the scary alien tendrils above, possibly the title character, which creates constant winds that has caused the life in the worlds to evolve in response: grass is shaped like shark fins aligned with the wind, some plants are tunnels that catch water from the passing wind, etc. And last but not least, the "sun" in this universe is a line of light, paralel to the movement of the continents/worlds, which results in all of them having a bright side and a dark side. Humans generally live in the former and strip-mine the later.
- Unicorn Jelly:
- Triangular world-plates with triangular lakes in the middle, each orbited by a tiny sun and moon. Basically, Jennifer Diane Reitz loves this trope; her sci-fi setting spans multiple universes, and each has its own laws of physics, which mostly manifest in bizarre world shapes.
- Illustrates that a sphere can be a bizarre world shape. A scientist from an alien universe, where gravity as we know it doesn't exist but where there is an absolute "down", comes across a fragmented description of our world. He speculates that the spherical shape of our planet must lead to a very stratified society, where the rich all live in the "safe" areas closest to the top of the sphere, and lower classes live further down the slope, where they must deal with the risk of slipping off.
- Captain N: The Game Master: Some of the worlds in had unusual shapes, some inspired by the games they were based on (such as Mount Icarus being mountains and plains suspended above the clouds and Faxanadu being a floating continent dominated by its World Tree) and others with fuzzier inspirations (such as Hyrule being an Earth-like sphere enclosed in some sort of crown-mountain-floating rock thing).
- Planets in the first two seasons of the original series were spheres. Come The Movie we are introduced us to Junkion, which is for all intents and purposes, a planet with a surface made of used chewing gum pulled taut over a large area, and Quintessa, which looks like a sphere, but has several large, almost blade like, masses of continent jutting out from the equator.
- Cybertron is round in the sense that a massive katamari is round. It's like the skyline of every major city on Earth wadded up into a round chunk of skyscraper.
- In Tiny Planets, the Tiny Planet of Stuff is a Möbius strip.
- Though technically not a planet, Achernar is a star that is over twice as wide as it is tall, due to it spinning so fast.
- Haumea, a dwarf planet in the outer Solar System which is distorted into a long ellipsoid by its very fast rotation.
- Asteroids. These are too small to be pulled into spheres by their own gravity, and double as Shattered Worlds. Asteroid 216 Kleopatra is shaped like a dog bone.
- It's theoretically possible for a planet to be doughnut-shaped, if the original protoplanetary lump is spinning fast enough during its solar system's formation. Such a planet's moon might, in addition to orbiting around it like ours does, move in a figure-eight pattern through the planet's hole, or move up and down through it like a ping-pong ball. Said hole, in addition to presumably experiencing rather powerful tides, would also be very dark and cold due to most sunlight being blocked by the rest of the world, although sufficient planetary tilt would allow for seasons.
- The Universe is the ultimate example. While data shows it to be flatnote (with no curvature) to the limit of our measurements, its actual shape assuming is finite and has one is unknown and proposals include it being (sort of) funnel-shaped, torus-shaped (read: doughnut), or dodecahedron-shaped.