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Everything about Spherical geometry
Geometry of the surface of a sphere
Spherical geometry or spherics is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of higher dimensional spheres. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Spherical geometryA 5-minute orientation
- Skim a recent paper: Protostellar collapse simulations in spherical geometry with dust coagulation and fragmentationInfluential work since 2022
- Pick up a classic book: Divided SpheresThe most-reprinted book on the subject
- Read the landmark paper: Dynamical symmetries in a spherical geometry. IICited 166 times
- Go sideways: Elliptic geometryA closely related topic
- Go sideways: Lexell's theoremA closely related topic
📖 Definitions
Noun The geometry of the 2-dimensional surface of a sphere; a given geometry of the surface of a sphere; a geometry of the surface of a given sphere, regarded as distinct from that of other spheres.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Dynamical symmetries in a spherical geometry. II
Convective dynamos in spherical wedge geometry
Spherical perfect lens: Solutions of Maxwell’s equations for spherical geometry
ON THE GEOMETRY OF SPHERICAL VARIETIES
Modons in spherical geometry
Casimir energy for dielectrics: spherical geometry.
Information geometry of the spherical model
Spherical functions and integral geometry
🆕 Influential since 2022
Protostellar collapse simulations in spherical geometry with dust coagulation and fragmentation
Space-Air-Ground Integrated Networks: Spherical Stochastic Geometry-Based Uplink Connectivity Analysis
Modeling and Analysis of Non-Terrestrial Networks by Spherical Stochastic Geometry: A Survey
Spacetime geometry from canonical spherical gravity
SPDET: Edge-Aware Self-Supervised Panoramic Depth Estimation Transformer With Spherical Geometry
📚 Books worth reading
Divided SpheresEdward S. Popko · 2012- 📕A treatise of the sphereJohn Witty · 1734
- 📕Elements of descriptive geometryCharles Davies · 1836
Dividing the CircleAllan Chapman · 1982
Тензорная тригонометрияNinul Anatoly Sergeevich · 2004
The use of stereographic projection in structural geologyF. C. Phillips · 1955
Gemmae Frisii medici et mathematici De radio astronomico & geometrico liberGemma Frisius · 1545- 📕Spherical trigonometryUnited States Naval Academy. Dept. of Mathematics. · 1946
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Elliptic geometry Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel…
- Lexell's theorem In spherical geometry, Lexell's theorem holds that every spherical triangle with the same surface area on a fixed base has its apex on a small circle,…
- Sphere A sphere (from Ancient Greek σφαῖρα (sphaîra) 'ball') is a surface analogous to the circle, a curve. In solid geometry, a sphere is the set of points that…
- Spherical circle In spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical…
- Sum of angles of a triangle In a Euclidean space, the sum of angles of a triangle equals a straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has…
- Outline of geometry Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one…
- Great circle In mathematics, a great circle or orthodrome is the circular intersection of a sphere and a diametral plane, which is a plane passing through the sphere's…
- Theodosius' Spherics The Spherics (Greek: τὰ σφαιρικά, tà sphairiká) is a three-volume treatise on spherical geometry written by the Hellenistic mathematician Theodosius of…