Hyperbolic geometry | 3-manifolds
In geometry, a pleated surface is roughly a surface that may have simple folds but is not crumpled in more complicated ways. More precisely, a pleated surface is an isometry from a complete hyperbolic surface S to a hyperbolic 3-fold such that every point of S is in the interior of a geodesic that is mapped to a geodesic. They were introduced by , 8.8), where they were called uncrumpled surfaces. The Universal Book of Mathematics provides the following information about pleated surfaces: It is a surface in Euclidean space or hyperbolic space that resembles a polyhedron in the sense that it has flat faces that meet along edges. Unlike a polyhedron, a pleated surface has no corners, but it may have infinitely many edges that form a lamination. (Wikipedia).
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
Hinged negatively curved surfaces
This is joint work with Geoffrey Irving. All of these surfaces are available from Shapeways at https://www.shapeways.com/shops/henryseg?section=Hinged+Surfaces
From playlist 3D printing
Introduction to Quadric Surfaces
http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
From playlist Surface integrals
More general surfaces | Differential Geometry 22 | NJ Wildberger
This video follows on from DiffGeom21: An Introduction to surfaces, starting with ruled surfaces. These were studied by Euler, and Monge gave examples of how such surfaces arose from the study of curves, namely as polar developables. A developable surface is a particularly important and us
From playlist Differential Geometry
Complex surfaces 4: Ruled surfaces
This talk gives an informal survey of ruled surfaces and their role in the Enriques classification. We give a few examples of ruled surfaces, summarize the basic invariants of surfaces, and sketch how one classifies the surfaces of Kodaira dimension minus infinity.
From playlist Algebraic geometry: extra topics
Michael Wolf - Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations
Michael Wolf Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations A recent work by Mazzeo-Swoboda-Weiss-Witt describes a stratum of the frontier of the space of SL(2,C) surface group representations in terms of 'limiting configurations' which solve a degenerate ver
From playlist Maryland Analysis and Geometry Atelier
Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations by Michael Wolf
Surface Group Representations and Geometric Structures DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
Light and Optics 5_1 Refractive Surfaces
The bending of light rays at the interface of refracting surfaces.
From playlist Physics - Light and Optics
What is the difference between convex and concave
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Class 5: Tessellations & Modulars
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces more examples of origami models that use a variety of techniques and media. At the end of the session, the c
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
The Mathematics of Clothing Design - Etienne Ghys
Public lecture
From playlist Mathematics Research Center
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture introduces the hyperboloic paraboloid, hyparhedra, and the circular pleat. Topics include triangulated folding of the
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Caltech Science Exchange Presents Conversations on COVID 19: Why Masks Work
Conversations on COVID-19: Why Masks Work Professor Richard Flagan speaks with Caltech science writer Emily Velasco about why and how masks reduce the spread of disease. Professor Flagan uses advanced instruments to study the chemistry and movement of tiny particles and droplets suspend
From playlist Caltech Science Exchange
Class 4: Efficient Origami Design
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class begins with folded examples produced by TreeMaker and Origamizer. Explanation of the triangulation algorithm, checkerbo
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
How To Wear Facemasks (Properly), Handwashing and More!
Everything you might want to know about whether facemasks are effective or not, and the best hand hygiene guide. Get 1 month free at Curiosity Stream + Nebula at http://curiositystream.com/drawcuriosity Video index with timecodes. 00:00 introduction 02:51 Facemasks 03:18 How do and don'
From playlist Docuriosity
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class covers creases in context of smoothness and a proof from the lecture involving Taylor expansion. Algorithms for the num
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons