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Geodesic Math - Salsburg

2 Geodesic Math Producing geodesics from the icosahedron. The following article is an excerpt of an article by Joe Clinton on the different methods of producing geodesics

http://www.salsburg.com/geod/geodesicmath.pdf

Date added: September 13, 2011 - Views: 110

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Geometer Math Articles, Geodesic Domes by Tom Davis

Geodesic Domes Tom Davis tomrdavis@eart[email protected] http://www.geometer.org/mathcircles June 6, 2011 1 What Is a Geodesic Dome? ... For this reason, we will work in coordinates that are easy to use, and if we ever desire to build a real dome, all we

http://www.geometer.org/mathcircles/geodesic.pdf

Date added: October 19, 2011 - Views: 133

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Geodesic Domes - University of California, Berkeley

1 What Is a Geodesic Dome? Figure 1: 6V Geodesic Dome and Buckminster Fuller Stamp The geodesic dome was invented by R. Buckminster ... There are plenty of resources on the web on geodesic domes, but one that’s particularly helpful, especially if you have any desire to build one of your ...

http://mathcircle.berkeley.edu/BMC6/ps0405/geodesic.pdf

Date added: October 31, 2011 - Views: 30

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Geodesic Math and How to Use It

Geodesic Math and How to Use It by Hugh Kenner It was 1976-twenty-five years after R. Buckminster Fuller introduced geodesic domes when literary critic Now some twenty five years after!

http://nivpdf.yepbooks.us/hugh_geodesic_math_and_how_to_6377384.pdf

Date added: June 4, 2014 - Views: 1

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A B - Maths

Strut Length Dome A 6cm 35 B 5.5cm 30 4-way connectors 10 5-way connectors 6 6-way connectors 10 Geodesic dome worksheet You need straws pipe cleaners two cups scissors ruler

http://nrich.maths.org/content/id/8266/geodesic_dome_worksheet.pdf

Date added: June 11, 2013 - Views: 8

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5.2 Geodesic Equations and Clairaut Relation

5.2. GEODESIC EQUATIONS AND CLAIRAUT RELATION 57 6. This gives us sinucosd−sindcosu−λtanv= 0 sinucosv cosv cosd−sind cosucosv cosv − λsinv cosv

http://mathproblems123.files.wordpress.com/2010/04/geodesiceqn.pdf

Date added: May 13, 2013 - Views: 4

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Curves on surfaces: Geodesics 1 Review of the geodesic ...

Curves on surfaces: Geodesics 1 Review of the geodesic curvature of the curves in the surface We firstreview the geodesic curvature ofthecurves inthe surface introduced in section

http://math.uh.edu/~minru/4350-11/geodesic.pdf

Date added: December 12, 2013 - Views: 1

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PROFESSIONAL DOME PLANS The underlying geometry describes ...

geodesic math involved in the design of domes is ... is the A chord for a 45’ dome. Sometimes dome books use chord factors referenced to the true radius or diameter of the sphere ... 66 50' Standard Hex.pdf Author: Jeff Hill Created Date:

http://www.domeplans.com/pdf/01-7b,9,10,11,20,21,24,25,license.pdf

Date added: February 1, 2012 - Views: 74

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The Length of a Shortest Closed Geodesic on a Two-Dimensional ...

The Length of a Shortest Closed Geodesic on a Two-Dimensional Sphere and Coverings by Metric Balls R. ROTMAN* Courant Institute of Mathematical Sciences, 251 Mercer St.,

http://www.math.toronto.edu/rina/spheregeodesics2.pdf

Date added: July 5, 2013 - Views: 2

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GEODESICS Math118, O. Knill EXAMPLE: GEODESICS ON SURFACE OF ...

The corresponding dynamical system is called the geodesic ... introduction to geodesic flows without Riemannian geometry which allows to go straight to the essential math without too ... We have proven this in the case of the plane without use of derivatives. This ”Archimedes proof” can

http://www.math.harvard.edu/archive/118r_spring_05/handouts/geodesics.pdf

Date added: May 14, 2012 - Views: 7

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THE GEODESIC LEARNING DOME (GEODOME)

For example, Math and Science, also known as “Occupations,” is a curriculum taught through a ... The Geodesic Learning Dome provides many additional opportunities for students to learn in their urban Montessori setting.

http://www1.aasd.k12.wi.us/sp/district/Points%20of%20Pride%20Documents/geodesic%20learning%20dome%20%282%29.pdf

Date added: May 4, 2013 - Views: 6

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EDUCATOR RESOURCE PACKET GRADES 5–9 F NATIONAL BUILDING ...

NOTES: What Are the Learning Benefits? The Fuller’s Fantastic Geodesic Dome program and supplementary lessons in this Educator Resource Packet meet national standards of learning in math,

http://gemsclub.org/yahoo_site_admin/assets/docs/geodesic_dome_erp.43132436.pdf

Date added: June 28, 2012 - Views: 6

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Math 660, Homework 4

Math 660, Homework 4 Geodesics: parts I and II \due" September 29, 2011 Reading do Carmo, chapter 3 Exercises (to do on your own) 1. Let ’: (M;g) !(N;h) be an isometry, and suppose

http://hans.math.upenn.edu/~jjau/math660/hw04_geodesics.pdf

Date added: May 19, 2013 - Views: 1

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On geodesic mappings of manifolds with affine connection

arXiv:0905.1839v2 [math.DG] 13 May 2009 On geodesic mappings of manifolds with affine ... [14] N.S. Sinyukov Geodesic Mappings of Riemannian Spaces, Nauka, Moscow, 1979. [15] T.Y. Thomas, On projective and equiprojective geometries of paths,

http://arxiv.org/pdf/0905.1839

Date added: September 4, 2013 - Views: 1

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The Curvature and Geodesics of the Torus - RainDrop Laboratories

http://www.rdrop.com/~half/math/torus/index.xhtml Mark L. Irons ([email protected]) The torus is a standard example in introductory discussions of the curvature of surfaces. However, ... geodesic which touches each barrier curve more than once.

http://www.rdrop.com/~half/math/torus/torus.geodesics.pdf

Date added: January 28, 2012 - Views: 11

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SPHERICAL GEOMETRY AND EULER’S FORMULA Introduction

In our proof of Euler’s theorem we will use spherical geometry. 2. Sum of angles of a spherical triangle ... AB of it is the shortest path between points A and B. We use this property to define straight lines (people call them geodesic lines, or simply geodesics1) on a sphere. What do geodesics

http://www.math.kent.edu/~soprunova/57091_geom/spherical_57091.pdf

Date added: June 16, 2012 - Views: 11

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Christoffel Symbols and Geodesic Equation

Christoffel Symbols and Geodesic Equation This is a Mathematica program to compute the Christoffel and the geodesic equations, starting from a given metric gab.

http://web.physics.ucsb.edu/~gravitybook/math/christoffel.pdf

Date added: April 4, 2012 - Views: 3

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Math 501, Homework 8 - University of Pennsylvania

Math 501, Homework 8 Theorema Egregium, ... Show that for each : ( ; ) !Sthat is a geodesic of S, ’ is a geodesic of S. 2. Why is the covariant derivative an intrinsic notion? 3. Suppose is a geodesic ... problem 2 (use the previous problem). (Note: on midterm 2, we saw that the natural ...

http://www.math.upenn.edu/~jjau/math501/hw08.pdf

Date added: October 22, 2014 - Views: 1

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Some aspects of the Geodesic flow - » Department of Mathematics

Some aspects of the Geodesic flow Pablo C. Abstract This is a presentation for Yael’s course on Symplectic Geometry. We discuss here the context in which the geodesic flow can be understood using

http://www.math.toronto.edu/karshon/grad/2006-07/geodesic.pdf

Date added: August 4, 2013 - Views: 1

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Math 501X - 6. Geodesics - University of Pennsylvania

Math 501 - Differential Geometry ... The above definition makes use of the extrinsic geometry ... curve : I S is called a geodesic if the field of its tangent vectors '(t) is parallel along , that is, if D '/dt = 0 .

http://www.math.upenn.edu/~shiydong/Math501X-6-Geodesics.pdf

Date added: January 11, 2013 - Views: 5

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GEODESIC CURVATURE PROBLEMS - University of Wisconsin–Madison

GEODESIC CURVATURE PROBLEMS Brief Solutions. The following problems require you to review the definition of geodesic curvature of a curve γ on a surface.

http://www.math.wisc.edu/~angenent/561/kgsolutions.pdf

Date added: October 31, 2011 - Views: 10

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Ergodic Theory and Dynamical Systems

geodesic, and arrive at a geodesic that is perpendicular at its entry point. ... Math. Soc. 48(1) (2011), 137–146. [3] J. Birman and R. F. Williams. Knotted periodic orbits in dynamical systems–I: Lorenz’s equations. Topology 22(1) (1983), 47–82. [4] J. Birman and R. F. Williams.

http://www.math.ubc.ca/~tali/geodesic.pdf

Date added: December 12, 2013 - Views: 1

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Counting closed geodesics in Moduli space

In this section, we use the properties of the geodesic flow discussed in §5 to prove the following closing lemma: Lemma 6.1 (Closing Lemma) Let K be a compact subset of Q1Mg(1, ... I Math., 29(1981), 75–78.

http://www.math.uchicago.edu/~eskin/geodesics.pdf

Date added: May 19, 2013 - Views: 2

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GDD Dome MODULE - University of Colorado Boulder

Geodesic Dome Module Summary: ... Math: 1. Students develop number sense and use numbers and number relationships in ... Today, geodesic domes come in an almost endless variety of shapes and styles. Vocabulary: Compression: ...

http://spacegrant.colorado.edu/COSGC_Projects/outreach/Modules%20PDFs/GDD%20Module.PDF

Date added: October 19, 2011 - Views: 10

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Euclidean, Spherical and Hyperbolic Shadows

Such a curve is called a geodesic. Figure 2 is the setup in spherical geometry, ... The reader is encouraged to use 1 to check that HD(i;F) = d, HD(i;L) = land HD(F;H) = h. In fact an excellent ... http://www.math.umd.edu/˘rfhoban/Shadows.html [4]Mumford, Series, & Wright, ...

http://egl.math.umd.edu/projects/archive/shadows/Shadows.pdf

Date added: May 19, 2013 - Views: 1

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math by the month activity sheet Grades 3–4

the “math by the month” problems explore much more than counting the number of triangles in a figure. ... After viewing pictures of geodesic domes such as Epcot Center, construct your own. Use 11 gumdrops and 25 toothpicks.

http://www.nctm.org/uploadedFiles/Journals_and_Books/TCM/Extras/TCM2009-12-272g.pdf

Date added: January 29, 2013 - Views: 2

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Free Energy as a Geometric Invariant

Free Energy as a Geometric Invariant. corresponding closed geodesic, where. n. is also the word length in. π. 1 (V) of the closed geodesic. A very detailed account of this approach appears in the article of Adler and

http://people.math.gatech.edu/~weiss/pub/cmpgeofree2.pdf

Date added: January 29, 2013 - Views: 6

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THE INVERSE PROBLEM FOR THE LOCAL GEODESIC RAY

THE INVERSE PROBLEM FOR THE LOCAL GEODESIC RAY TRANSFORM GUNTHER UHLMANN AND ANDRAS VASY Abstract. Under a convexity assumption on the boundary we solve a local

http://www.math.washington.edu/~gunther/publications/Papers/localgeodesic.pdf

Date added: October 21, 2013 - Views: 1

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Closed geodesics, periods and arithmetic of modular forms

474 S. Katok dF , ~ =d entiable in the direction of the geodesic flow and such that ~=f, where dt is the operator of differentiation along the orbits of the flow {~gt}.

http://www.math.psu.edu/katok_s/pub/Inventiones.pdf

Date added: July 5, 2013 - Views: 1

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Design a Dome - TryEngineering

3. If possible, have students consider the structure of a geodesic dome. The resources ... (http://www.iteea.org/TAA/PDFs/xstnd.pdf) ... (http://www.corestandards.org/Math )

http://www.tryengineering.org/lessons/designadome.pdf

Date added: November 1, 2011 - Views: 132

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Arts Integrated Lesson Plan - MDK12.org

MATI Arts Integrated Lesson Plan 4 copyright©*2010*msde* some of Van Allsburg’s books (e.g., Two Bad Ants), he likes to use an unusual point of view.

http://mdk12.org/toolkit/vsc/arts_lesson_seeds/share/Geodesic_Sphere.pdf

Date added: June 13, 2012 - Views: 18

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Computing Geodesic Spectra of Surfaces - Stony Brook University

† e-mail:fluo@math.rutgers.edu ... same topology is infinite. In this work, we propose to use geodesic spectra as the ”fin-gerprint” of the conformal structure of a general surface. It has many real applications, such as surface classification, sur face comparison, shape retrieval etc.

http://www3.cs.stonybrook.edu/~gu/publications/pdf/2007/geodesic_spectrum.pdf

Date added: October 22, 2014 - Views: 1

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DIVERGENCE OF GEODESICS IN TEICHMULLER SPACE¨ AND THE ...

... (with a word metric) have geodesic divergence that is intermediate between the linear rate of flat spaces and the exponential ... we use the quasi-isometrically embedded copies ofZ2 ... [M1] H.A. Masur, On a class of geodesics in Teichm¨uller space, Ann. of Math. (2) 102:2 (1975), 205–221.

http://www.math.ou.edu/~rafi/research/Divergence.pdf

Date added: October 22, 2014 - Views: 1

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arXiv:math/9902112v1 [math.GT] 19 Feb 1999

arXiv:math/9902112v1 [math.GT] 19 Feb 1999 Approximation of recurrence in negatively curved metric spaces ... Abstract Formetricspaceswithcurvaturelessthanorequalto χ, χ < 0, itis shown that a recurrent geodesic is approximated by closed geodesics. A counter example is provided for the converse.

http://arxiv.org/pdf/math/9902112

Date added: October 22, 2014 - Views: 1

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Saturday, March 23, 2002 Printed: 1:16:36 PM

//theta half of the rotation formula given in Kenner's "Geodesic Math & //How to Use it" Kenner credits this formula to Professor George Owen double result; result = cos(theta1 * DEG_TO_RAD) * cos(theta * DEG_TO_RAD) + sin(theta1 * DEG_TO_RAD) * sin(theta * DEG_TO_RAD) *

http://www.fractalnet.org/CAD/Dome4.6_code_CPP.pdf

Date added: December 12, 2013 - Views: 1

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Math 147B: Problem Set 6 Geodesics - UCSB Mathematics Home Page

Math 147B: Problem Set 6 Geodesics April 16, 2008 Reference: Pressley, §8.1. Definition. A geodesic on a smooth surface S is a parametrized curve γ :

http://www.math.ucsb.edu/~moore/147B6.pdf

Date added: September 23, 2013 - Views: 2

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Geodesics and the Gauß-Bonnet Theorem - University of Utah

Math 4530 Supplement. April 23, 2004 Geodesics and the Gauß-Bonnet Theorem Andrejs Treibergs Abstract. In these notes we compute the geodesic curvature on a surface in isothermal coordinates and use it to

http://www.math.utah.edu/~treiberg/M4530b.pdf

Date added: May 19, 2013 - Views: 1

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Math 4510 Homework 7 { Due 12/8/10

Math 4510 Homework 7 { Due 12/8/10 (1) Let Cdenote the cylinder fx2 + y2 = 1gˆR3. Check that for each c2R the curve ˙ c(t) = (cost;sint;ct) is a geodesic in C, by checking that ˙00(t)T = 0.

http://www.math.utah.edu/~toledo/4510F10hw7.pdf

Date added: August 4, 2013 - Views: 1

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CODING OF CLOSED GEODESICS AFTER GAUSS AND MORSE

CODING OF CLOSED GEODESICS AFTER GAUSS AND MORSE 3 By mapping the oriented geodesic segments between every two consecutive crossings of the net Nback to D(as shown in Fig. 1), we obtain a geodesic in D.

http://www.math.psu.edu/katok_s/pub/coding.pdf

Date added: February 3, 2012 - Views: 2

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Asymptotics of Weil-Petersson geodesics II: bounded geometry ...

Conversely, constraining the geometry of surfaces along a Weil-Petersson geodesic forces a bound to the combinatorics of the ending laminations.

http://www.math.uchicago.edu/~masur/wpmain.pdf

Date added: November 10, 2013 - Views: 1

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SAMPLE SECOND MIDTERM EXAM PROBLEMS - MATH 5378, SPRING 2002

SAMPLE SECOND MIDTERM EXAM PROBLEMS - MATH 5378, SPRING 2002 THIS WILL BE A CLOSED-BOOK, CLOSED-NOTES EXAM. ... and torsion of a geodesic are equal to K. [Hint: Use the Frenet formula N0= T+ ˝B.] (11) Show that on a simple (i.e., homeomorphic to an open disk) surface of

http://www.math.umn.edu/~voronov/5378/sample2.pdf

Date added: May 19, 2013 - Views: 3

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Introduction

STAR-FREE GEODESIC LANGUAGES FOR GROUPS SUSAN HERMILLER1, DEREK F. HOLT, AND SARAH REES Abstract. In this article we show that every group with a finite

http://www.math.unl.edu/~shermiller2/webppr/starfreegeodesic.pdf

Date added: August 4, 2013 - Views: 1

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Math 1350 Review Topics for the Midterm Exam

Math 1350 Review Topics for the ... Definitions First fundamental form Isometry Conformal map Second fundamental form Normal curvature Geodesic curvature Principal curvatures Gaussian curvature Mean curvature Weingarten matrix ... Use the Weingarten matrix to find normal curvature, principal ...

http://www.math.pitt.edu/~frank/1350/finalreview.pdf

Date added: March 8, 2014 - Views: 1

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Geodesics Using Mathematica Jacob Lewis - Rose-Hulman - Top ...

6 fundamental existence and uniqueness theorems of ordinary differential equations [1], γ exists and is unique. ! If every geodesic can be extended infinitely without leaving the surface, then the

http://www.rose-hulman.edu/mathjournal/archives/2002/vol3-n1/paper3/v3n1-3pd.pdf

Date added: March 3, 2012 - Views: 2

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MATH 740, Fall 2012 Riemannian Geometry Homework Assignment ...

MATH 740, Fall 2012 Riemannian Geometry ... If M is totally geodesic in M, deduce that they have the same sectional curvature on ... (use problem 2), and show that the mean curvature (the trace of B) vanishes. Also compute the Gaussian curvature ...

http://www2.math.umd.edu/~jmr/740/hw6.pdf

Date added: June 11, 2014 - Views: 1

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Mathematics - State Goal 9: Use geometric methods to analyze ...

STATE GOAL 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. Why This Goal Is Important: Geometry provides important methods for reasoning and solving

http://www.isbe.net/ils/math/pdf/goal9.pdf

Date added: February 19, 2012 - Views: 19

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Math salad Problem 1 p81 =

De nition 1 A line connecting two points on a surface is called a geodesic line if it is a shortest line (there might be more than one) among all the lines connecting the points.

http://www.math.ucla.edu/~radko/circles/lib/data/Handout-436-529.pdf

Date added: September 19, 2013 - Views: 1

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MATHEMATICS

... "Abelian Varieties over FunctionFields," Trans. Am. Math. Soc. (to appear); theproofoftheresult quoted in thetext is contained in a separate ... venient2 to assumethat this metric is such that the geodesic distance between any pairof conjugatepointsis alwaysmorethanone. Then,if ...

http://www.pnas.org/content/41/5/320.full.pdf

Date added: December 12, 2013 - Views: 1

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Instructables.com - Geodesic Dome Greenhouse - QSL.net

... we teach math and science skills to community youth, design and build geodesic dome greenhouses, work with technology and other activities. ... If you decide to use our instructable and make your own dome, ...

http://www.qsl.net/w/w7lk/misc%20pdf%20files/Misc%20PDFs/Geodesic-Dome-Greenhouse.pdf

Date added: February 21, 2012 - Views: 13

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Homework 3

Winter 2014 MATH 635 Ralf Spatzier Homework 3 for Wednesday, February 7 (1) Let Mand Nbe Riemannian manifolds, with metrics h; ... geodesic from pto q, and ˆFix˚. (b) Use this to determine the geodesics on the round sphere (up to parametrization)

http://math.lsa.umich.edu/~spatzier/how3.pdf

Date added: April 20, 2014 - Views: 1