List of prefixes
Jump to navigation
Jump to search
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- a uniform polytope with less restrictions; a semi-uniform's edges may be different lengths | semiregular - an outdated term for polytopes with only regular facets, which can be thought of as a lesser type of regularity |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 |