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Everything about Hyperboloid
Unbounded quadric surface
In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: HyperboloidA 5-minute orientation
- Skim a recent paper: Design Optimization of Hyperboloid Wooden House Concerning Structural, Cost, and Daylight PerformanceInfluential work since 2022
- Pick up a classic book: Тензорная тригонометрияThe most-reprinted book on the subject
- Read the landmark paper: HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOIDCited 193 times
- Go sideways: Circular sectionA closely related topic
- Go sideways: ParaboloidA closely related topic
📖 Definitions
Noun A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.
🏆 Landmark papers (most cited)
HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
Design Parameters of Paraboloid-Hyperboloid Telescopes for X-ray Astronomy
Endoscopy Deliverable and Mushroom-Cap-Inspired Hyperboloid-Shaped Drug-Laden Bioadhesive Hydrogel for Stomach Perforation Repair
Hyperbolic Geometry on a Hyperboloid
On Solving Multifacility Location Problems using a Hyperboloid Approximation Procedure
Identification of Human Ventricular Tachycardia Demarcated by Fixed Lines of Conduction Block in a 3-Dimensional Hyperboloid Circuit
ABCD matrix for reflection and refraction of Gaussian light beams at surfaces of hyperboloid of revolution and efficiency computation for laser diode to single-mode fiber coupling by way of a hyperbolic lens on the fiber tip
Hyperboloid‐Drum Microdisk Laser Biosensors for Ultrasensitive Detection of Human IgG
🆕 Influential since 2022
Design Optimization of Hyperboloid Wooden House Concerning Structural, Cost, and Daylight Performance
Effects of hyperboloid vortex finder and inlet angle on the cyclone flow pattern and separation efficiency
A Robust Hyperboloid Method for Velocity-Free MS/AE Source Localization with Heavy-Tailed Proximity Metric
Explosion resistance of self-balancing hyperboloid multilayered sandwich panels with hybrid cores
Modeling and Analysis of Micro-Grinding Processes with the Use of Grinding Wheels with a Conical and Hyperboloid Active Surface
📚 Books worth reading
Тензорная тригонометрияNinul Anatoly Sergeevich · 2004
Sculpture on a Grand ScaleTyler Sprague · 2019- 📕Ueber einschaalige hyperboloideRobert Depène · 1871
- 📕Über kürzeste Transversalen zwischen Erzeugenden einer hyperboloidischen Regelschaar ..Bernhard Hepke · 1905
- 📕Uebertragung einer dreiecksaufgabe auf das tetraeder ..Ludwig, W. · 1904
- 📕Proprietà geometriche delle linee di posizione della navigazione iperbolica e loro tracciamento sull' ellissoide di riferimentoSilvio Ballarin · 1951
- 📕Edge diffraction from truncated paraboloids and hyperboloidsW. V. T. Rusch · 1967
- 📕Theorie der Elektrcitätsverteilung auf dem zweischaligen RotationshyperboloideTheodor Arendt · 1884
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Circular section In geometry, a circular section is a circle on a quadric surface (such as an ellipsoid or hyperboloid). It is a special plane section of the quadric, as…
- Paraboloid In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola…
- Hyperbola In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations…
- Confocal conic sections In geometry, two conic sections are called confocal if they have the same foci. Because ellipses and hyperbolas have two foci, there are confocal ellipses…
- Ellipsoid An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation…
- Principal axis theorem In geometry and linear algebra, a principal axis is a certain line in a Euclidean space associated with a ellipsoid or hyperboloid, generalizing the major…
- Ellipse In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of both distances to the two focal…
- Quadric In mathematics, a quadric or quadric surface is a generalization of conic sections (ellipses, parabolas, and hyperbolas). In three-dimensional space, quadrics…