In mathematics a translation surface is a surface obtained from identifying the sides of a polygon in the Euclidean plane by translations. An equivalent definition is a Riemann surface together with a holomorphic 1-form. These surfaces arise in dynamical systems where they can be used to model billiards, and in Teichmüller theory. A particularly interesting subclass is that of Veech surfaces (named after William A. Veech) which are the most symmetric ones. (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
Rotate Curve: Find Surface Area of Resulting Solid
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Rotate a curve about the x-axis. How do we calculate the surface area of the resulting solid? We can use calculus - find out here! A surface of revolution is a surface in Euclidean space created by rotating a
From playlist Learn Calculus 2 on Your Mobile Device / Learn Math on Your Phone!
C. Judge - Systoles in translation surfaces
I will discuss joint work with Hugo Parlier concerning the shortest noncontractible loops—’systoles’—in a translation surface. In particular, we provide estimates (some sharp) on the number of systoles (up to homotopy) in the strata H(2g-2) and the stratum H(1,1). We also determine the ma
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
What is a transformation vector
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi
From playlist Transformations
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
Physics Ch 67.1 Advanced E&M: Review Vectors (54 of 113) What is a Surface Integral?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn that a surface integral is the integral over a surface multiplied (via the dot product) with a vector field passing thr
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
Apply a translation vector to translate a figure ex 1
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi
From playlist Transformations
How to apply translating to a line on a coordinate grid
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi
From playlist Transformations
The SL (2, R) action on spaces of differentials (Lecture 01) by Jayadev Athreya
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
Alex Wright - Minicourse - Lecture 1
Alex Wright Dynamics, geometry, and the moduli space of Riemann surfaces We will discuss the GL(2,R) action on the Hodge bundle over the moduli space of Riemann surfaces. This is a very friendly action, because it can be explained using the usual action of GL(2,R) on polygons in the plane
From playlist Maryland Analysis and Geometry Atelier
Surface Area of a Cylinder: Without Words
Link: https://www.geogebra.org/m/rCxXxFhE
From playlist Geometry: Dynamic Interactives!
Translators for Mean Curvature Flow - David Hoffman
Variational Methods in Geometry Seminar Topic: Translators for Mean Curvature Flow Speaker: David Hoffman Affiliation: Stanford University Date: November 13, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Barak Weiss - Examples for the horocycle owon moduli spaces
PROGRAM: RECENT TRENDS IN ERGODIC THEORY AND DYNAMICAL SYSTEMS DATES: Tuesday 18 Dec, 2012 - Saturday 29 Dec, 2012 VENUE: Department of Mathematics,Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara PROGRAM LINK: http://www.icts.res.in/program/ETDS2012 DESCR
From playlist Recent Trends in Ergodic Theory and Dynamical Systems
P. Apisa - Marked points in genus two and beyond
In the principal stratum in genus two, McMullen observed that something odd happens - there is only one nonarithmetic Teichmuller curve - the one generated by the decagon. This strange phenomenon begets another - a primitive translation surface in genus two admits a periodic point that is
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Jon Chaika: Horocycle Flow on Moduli Spaces of Translation Surfaces 1
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Winter School on Dynamics: Topology and Numbers
From playlist HIM Lectures: Trimester Programm: Dynamics: Topology and Numbers
Horocycle orbits in strata of translation surfaces
From playlist Mathematics Research Center
C. Matheus - Square tiled surfaces (Part 1)
) basic definitions and examples b) strata and genus c) reduced and primitive origamis, SL(2,R) action, Veech groups d) automorphisms and affine homeomorphisms e) homology of origamis f) Kontsevich-Zorich cocycle g) Lyapunov exponents of the Wollmilchsau
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Compressible Quantum Matter: General Constraints, Emergent Symmetries, and Anom... - Senthil Todadri
High Energy Theory Seminar Compressible Quantum Matter: General Constraints, Emergent Symmetries, and Anomalies Speaker: Senthil Todadri Affiliation: Massachusetts Institute of Technology Date: October 12, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Transformations of Graphs A Level Maths - Translation 1 - Quadratics and Cubics
Our first look at graph transformations for new A Level Maths. Here, we look at translations of Quadratics and Cubics, as well as translation vectors!
From playlist AS Level Maths Pure - AQA, Edexcel and OCR MEI