M. Schilling catalog
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Geometric Models Collection
of V.N. Karazin Kharkiv National University
About the Project
Collection: "
M. Schilling catalog
"
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Body of constant width generated by rotating a Reuleaux triangle
— of
M. Schilling catalog
Curves
Curves and surfaces of constant width
#constant width
#orbiform
#surface of revolution
#Reuleaux triangle
#lambda-convexity
#Meissner
Boy's surface
— of
M. Schilling catalog
Topology
Models of the real projective plane
#topology
#real projective plane
#Boy's surface
#immersion
#orientation
#orientation-reversing path
#Boy
Catenoid with geodesic lines
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Сonstant mean curvature surfaces
Minimal surfaces
#constant curvature
#constant mean curvature
#minimal surface
#geodesic line
#surface of revolution
#catenary
#Bacharach
#Brill
Cheese-shaped surface of constant positive Gaussian curvature
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Surfaces of constant Gaussian curvature
Surfaces of revolution of constant Gaussian curvature
#constant curvature
#constant Gaussian curvature
#elliptic integral
#geodesic line
#Brill
Dandelin spheres
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Cross sections of quadrics
#cone
#cross-section
#conical section
#ellipse
#Dandelin spheres
#Kötter
#movable
Elliptic cones
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Quadrics (surfaces of order two)
Classification of surfaces of 2nd order
#quadric
#cone
#lines of curvature
#rulings
#Diesel
#Brill
Elliptic paraboloids
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Quadrics (surfaces of order two)
Classification of surfaces of 2nd order
#quadric
#paraboloid
#elliptic paraboloid
#lines of curvature
#cross-section
#Diesel
#Brill
Geodesic lines on the three-axial ellipsoid
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Quadrics (surfaces of order two)
Ellipsoids and spheres
#ellipsoid
#three-axial
#geodesic line
#umbilical point
#Rohn
#Brill
Helicoid
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Asymptotic lines
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Сonstant mean curvature surfaces
Minimal surfaces
#helix
#minimal surface
#rulings
#line of curvature
#asymptotic line
#Brill
#Herting
Hyperbolic paraboloids
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Quadrics (surfaces of order two)
Classification of surfaces of 2nd order
Surfaces
Quadrics (surfaces of order two)
Rulings on quadrics
#quadric
#paraboloid
#hyperbolic paraboloid
#lines of curvature
#cross-section
#rulings
#Diesel
#Brill
Jacobi amplitude $\varphi=am(u,k)$
— of
M. Schilling catalog
Functions
Some special real functions
#ellipse
#elliptic function
#elliptic integral
#special function
#amplitude
#Brill
#Kuen
#Wolff
Kummer surface with 16 real double points
— of
M. Schilling catalog
Surfaces
Quartics (surfaces of order four)
Kummer surfaces
#quatric
#double point
#A1 singularity
#real double point
#Kummer surface
#Rohn
#Klein
Kummer surface with 4 real double points
— of
M. Schilling catalog
Surfaces
Quartics (surfaces of order four)
Kummer surfaces
#quatric
#double point
#A1 singularity
#real double point
#Kummer surface
#Rohn
#Klein
Kummer surface with 8 real double points
— of
M. Schilling catalog
Surfaces
Quartics (surfaces of order four)
Kummer surfaces
#quatric
#double point
#A1 singularity
#real double point
#Kummer surface
#Rohn
#Klein
Meissner body
— of
M. Schilling catalog
Curves
Curves and surfaces of constant width
#constant width
#lambda-convexity
#Meissner body
#Reuleaux tetrahedron
#open problem
#Meissner
Movable thread hyperbolic paraboloid
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Rulings on quadrics
#quadric
#paraboloid
#rulings
#thread
#movable
Movable thread hyperboloid
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Rulings on quadrics
#quadric
#hyperboloid
#rulings
#asymptotic cone
#thread
#movable
Nodoid
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Сonstant mean curvature surfaces
Surfaces of constant non-zero mean curvature
#constant curvature
#constant mean curvature
#surface of revolution
#geodesic line
#locus
#catenary
#hyperbola
#elliptic integral
#Bacharach
#Brill
One-sheeted hyperboloid generated by revolution of a straight line
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Rulings on quadrics
#hyperboloid
#rulings
#Doehlemann
#Schilling
#movable
One-sheeted hyperboloids with asymptotic cones
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Quadrics (surfaces of order two)
Classification of surfaces of 2nd order
Surfaces
Quadrics (surfaces of order two)
Rulings on quadrics
#quadric
#hyperboloid
#one-sheeted hyperboloid
#rulings
#lines of curvature
#asymptotic cone
#Diesel
#Brill
Pseudosphere
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Curves
Types of curves on surfaces
Asymptotic lines
Surfaces
Surfaces of constant Gaussian curvature
Surfaces of revolution of constant Gaussian curvature
#pseudosphere
#surface of revolution
#constant curvature
#constant Gaussian curvature
#negative curvature
#geodesic line
#asymptotic line
#tractrix
#Bacharach
#Brill
Rotationally symmetric algebraic surface of constant width
— of
M. Schilling catalog
Curves
Curves and surfaces of constant width
#constant width
#orbiform
#surface of revolution
#lambda-convexity
#Meissner
Space evolute of a one-sheeted hyperboloid
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Space caustics of quadrics
#principal curvature
#one-sheeted hyperboloid
#center of curvature
#envelope
#evolute
#caustic
#Dyck
#Brill
Space evolute of an elliptic paraboloid
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Space caustics of quadrics
#principal curvature
#elliptic paraboloid
#center of curvature
#envelope
#evolute
#caustic
#Schleiermacher
#Brill
Sphere as a rotationally symmetric surface of constant positive Gaussian curvature
— of
M. Schilling catalog
Surfaces
Quadrics (surfaces of order two)
Ellipsoids and spheres
Surfaces
Surfaces of constant Gaussian curvature
Surfaces of revolution of constant Gaussian curvature
#sphere
#quadric
#constant curvature
#constant Gaussian curvature
#surface of revolution
#Brill
Spindle-shaped surface of constant positive Gaussian curvature
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Surfaces of constant Gaussian curvature
Surfaces of revolution of constant Gaussian curvature
#constant curvature
#spindle-shaped
#constant Gaussian curvature
#elliptic integral
#geodesic line
#Brill
#brass
Surface of revolution of constant negative Gaussian curvature, conic type
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Curves
Types of curves on surfaces
Asymptotic lines
Surfaces
Surfaces of constant Gaussian curvature
Surfaces of revolution of constant Gaussian curvature
#surface of revolution
#constant curvature
#constant Gaussian curvature
#negative curvature
#geodesic line
#asymptotic line
#conical singularity
#Bacharach
#Brill
Surface of revolution of constant negative Gaussian curvature, hyperboloid type
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Surfaces of constant Gaussian curvature
Surfaces of revolution of constant Gaussian curvature
#surface of revolution
#constant curvature
#constant Gaussian curvature
#negative curvature
#hyperboloid type
#geodesic line
#geodesic circle
#Dyck
#Brill
Three-axial ellipsoids
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Quadrics (surfaces of order two)
Classification of surfaces of 2nd order
Surfaces
Quadrics (surfaces of order two)
Ellipsoids and spheres
#quadric
#ellipsoid
#three-axial
#lines of curvature
#umbilical point
#Diesel
#Brill
Trajectory of a heavy point on a sphere
— of
M. Schilling catalog
Curves
Curves with physical meaning
#physical model
#sphere
#trajectory
#Schleiermacher
#Brill
Two-sheeted hyperboloids
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Lines of curvature
Surfaces
Quadrics (surfaces of order two)
Classification of surfaces of 2nd order
#quadric
#hyperboloid
#two-sheeted hyperboloid
#lines of curvature
#asymptotic cone
#Diesel
#Brill
Types of singular points of space curves
— of
M. Schilling catalog
Curves
Singularities of space curves
#curve
#space curve
#projection
#singularity
#return point
#classification
#Weiner
Unduloid
— of
M. Schilling catalog
Curves
Types of curves on surfaces
Geodesic lines
Surfaces
Сonstant mean curvature surfaces
Surfaces of constant non-zero mean curvature
#constant curvature
#constant mean curvature
#surface of revolution
#geodesic line
#locus
#catenary
#ellipse
#elliptic integral
#Bacharach
#Brill
Various curves of constant width
— of
M. Schilling catalog
Curves
Curves and surfaces of constant width
#constant width
#lambda-convexity
#Schilling
#movable
Geometric Models Collection
of V.N. Karazin Kharkiv National University
