List of prefixes

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The naming of polytopes include many different prefixes. This page is meant to clarify what some prefixes, and some suffixes, mean in the context of polytopes.

Affix Meaning Example(s)
alter in a different way alternation - the process of faceting a polytope by removing every other vertex, and reconnecting it differently alterprism - a lacing, similar to prisms, between two identical polytopes orientated differently
anti against, opposite antiprism - a lacing, similar to prisms, between two polytopes that are duals (or "opposites") of each other
apeiro infinite apeirogon - a polygon with infinite sides apeirotope - a polytope with infinite sides
demi, hemi semi half, lesser

"demi" often used for division by 2 "hemi" often used for central things"semi" used more often for lesser forms

demicross - a series of mostly uniform facetings of the orthoplex series that take up half of its binary volume demicube - the series of alternations (or "halvings") of hypercubes hemipolytope - a polytope with facets that intersect its center; that split it in half, such as thah or oho hemicube - a quotient of the cube that has half of its faces and is isomorphic to the petrial tetrahedron semi-uniform - a uniform polytope with less restrictions; a semi-uniform's edges may be different lengths semiregular - an outdated term for polytopes with only regular facets, which can be thought of as a lesser type of regularity
gyro ring, circle, spin gyrobicupola - a bicupola with both halves in different orientations, or rotated wrt each other gyroelongation - elongation with both halves in different orientations, or rotated wrt each other
hebe (likely) three hebesphenomegacorona - "hebesphen-" likely refers to its arrangement of three lunes in a wedge formation
holo whole, complete holosnub - a version of snubbing that allows for odd-vertexed polygons, alternating completely around the omnitruncate's faces, turning each face {N} into {N/2}, as seen in the small ditrigonary icosidodecahedron, which is a holosnub dodecahedron.
iso equal (or transitive) isogonal - a polytope that is vertex-transitive isomorphic - when two mathematical objects are a "relabeling" of each other, but otherwise the same isosceles trapezoid - a trapezoid with the same size legs
mega large, 1 million megagon - a 1,000,000-sided polygon hebesphenomegacorona - "megacorona" refering to its large crown-like structure of triangles
meta after, beyond ("somewhere else") metabidiminish - to diminish twice in two different locations, somewhere other than two opposing sides, as seen in the metabidiminished icosahedron metabiaugment - to augment twice in two different locations, somewhere other than two opposing sides, as seen in the metabiaugmented dodecahedron
ortho straight, upright orthoplex - a series of polytopes with verteces pointing in the direction of the axies orthobicupola - a bicupola with both halves in the same orientation, or straightened
para to the side; aside parallel - two objects on lines or planes that run aside each other forever, never intersecting parallelogram - an irregular 4-sided polygon with 2 pairs of parallel edges parabiaugmented - augmenting twice on opposing sides, as seen in the parabiaugmented hexagonal prism
poly multiple polytope - a shape with multiple sides
quasi almost, resembling quasitruncation - an operation that resembles truncation, but taken further quasiregular - a polytope that is close to being regular, with certain conditions
retro backwards, behind retroelongation - elongation in a backwards direction retrosnub - the alternated quasiomnitruncation, as opposed to snub, the alternated omnitruncation; leaves some facets facing the inside of the polytope
rhombi relating to rhombi rhombus - an isotopic polygon which is the dual of the rectangle rhombic dodecahedron - the polyhedron with 12 rhombi as faces Small rhombicuboctahedron - uniform polyhedron with faces parallel to rhombic dodecahedron and cuboctahedron
sesqui one-and-a-half sesquitruncated - truncating one and a half times, in a sense, as seen in the sesquitruncated octahedron
sphene wedge sphenoid - an irregular tetrahedron with only one symmetry axis; looks like a wedge shape snub disphenoid - a snubbation of a tetrahedron seen as a disphenoid sphenocorona - a Johnson solid named after its wedge-like arrangement of two lunes