Polygons | Polyhedra | Computational geometry
In computational geometry, the source unfolding of a convex polyhedron is a net obtained by cutting the polyhedron along the cut locus of a point on the surface of the polyhedron. The cut locus of a point consists of all points on the surface that have two or more shortest geodesics to . For every convex polyhedron, and every choice of the point on its surface, cutting the polyhedron on the cut locus will produce a result that can be unfolded into a flat plane, producing the source unfolding. The resulting net may, however, cut across some of the faces of the polyhedron rather than only cutting along its edges. The source unfolding can also be continuously transformed from the polyhedron to its flat net, keeping flat the parts of the net that do not lie along edges of the polyhedron, as a blooming of the polyhedron. The unfolded shape of the source unfolding is always a star-shaped polygon, with all of its points visible by straight line segments from the image of ; this is in contrast to the star unfolding, a different method for producing nets that does not always produce star-shaped polygons. An analogous unfolding method can be applied to any higher-dimensional convex polytope, cutting the surface of the polytope into a net that can be unfolded into a flat hyperplane. (Wikipedia).
What is the Universe expanding into?
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From playlist Science Unplugged: Cosmology
Locating sources of academic information at UNSW Library
You’re used to searching online, but are you finding what you need for your assignments and research? If you’re looking for scholarly content, there are alternatives you can try. (CC-BY-NC)
From playlist UNSW Library
In this video, I define what it means to rearrange (or reshuffle) a series and show that if a series converges absolutely, then any rearrangement of the series converges to the same limit. Interesting Consequence: https://youtu.be/Mw7ocynGVmw Series Playlist: https://www.youtube.com/play
From playlist Series
What's the Deal With Unboxing Videos? | Idea Channel | PBS Digital Studios
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea With every new product release comes a glorious wealth of new Unboxing videos. For the uninitiated, unboxing videos are exactly what they sound like. A person gets a ne
From playlist Newest Episodes
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From playlist Science Unplugged: Physics
Concavity and Inflection Points(HD)
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From playlist Calculus
Class 15: General & Edge Unfolding
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 defining handles and holes, and the Gauss-Bonnet Theorem applied to convex polyhedra. Algorithms for zipper
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Lecture 15: General & Edge Unfolding
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 begins with describing polyhedron unfolding for convex and nonconvex polygons. Algorithms for shortest path solutions
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Building a step stool from rough sawn Ash. Bit of a divergence form the usual; warm-up project to get back into the swing of things. ------------------------------------ Gathering Darkness by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativeco
From playlist All Uploads
Lecture 19: Refolding & Smooth Folding
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 begins with a problem involving unfolding and refolding. Examples of smooth foldings and unfoldings are given, follow
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
What's Next for the James Webb Space Telescope
Start speaking a new language in 3 weeks with Babbel. Get up to 65% your subscription here: https://go.babbel.com/12m65-youtube-scishowspace-jan-2022/default It finally happened! The James Webb Space Telescope is on its way to capturing never-before-seen images of the universe! But now th
From playlist SciShow Space
Step Zero of Analytic Continuation Gateway to the Riemann Hypothesis
Like origami art, where we can fold a paper to create a boat and then refold the same paper differently to build a totally different thing (for example, a bird), this simple video shows that we can unfold an infinite-divergence series (commonly known as Riemann's zeta function) and then re
From playlist Summer of Math Exposition 2 videos
Do you understand the universe?
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From playlist Science Unplugged: Big Ideas
Homogenization of an Elliptic Equation in a Domain with Oscillating Boundary... by Rajesh Mahadevan
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Class 16: Vertex & Orthogonal Unfolding
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 reviews covers topologically convex vertex-ununfoldable cases and unfolding for orthogonal polyhedra, including the app
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
The Space Mirror That Turned Night into Day
Solar sail technology was once only theoretical, but it's now being developed to propel spaceships. How did the first solar sails get into space, and why? We want to learn more about you and your opinions! If you have time, please take a moment to fill out this survey: https://www.surveym
From playlist SciShow Space
Protein Collapse and Folding by Govardhan Reddy
Indian Statistical Physics Community Meeting 2016 URL: https://www.icts.res.in/discussion_meeting/details/31/ DATES Friday 12 Feb, 2016 - Sunday 14 Feb, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community wh
From playlist Indian Statistical Physics Community Meeting 2016
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From playlist UNSW Law
CGSR | When Private Satellites Go to War by Theo Milonopoulos
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From playlist Center for Global Security Research
Do black holes form only via imploding stars?
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From playlist Science Unplugged: Black Holes