Word: horosphere
Part of speech: Noun
Syllables: ho
ros
phere
Definition: An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane.
Morphemes:
Affix: horosphere
Language: en
PoS: Noun
Meaning: An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane.
Etymology Compounds: Affix: ὅρος
Language: grc
Decoded: oros
Meaning: boundary
Affix: sphere
Language: en
Decoded: sphere
PoS: Noun
Meaning: The set of all points in three-dimensional Euclidean space (or n-dimensional space, in topology) that are a fixed distance from a fixed point .