1

Lucy and Lily: A Game of Geometry and Number Theory

Richard Evan Schwartz
Journal:
American Mathematical Monthly
Year:
2002
Language:
english
File:
PDF, 492 KB
english, 2002
3

Elementary Surprises in Projective Geometry

Richard Evan Schwartz, Serge Tabachnikov
Journal:
The Mathematical Intelligencer
Year:
2010
Language:
english
File:
PDF, 475 KB
english, 2010
4

Ideal Triangle Groups, Dented Tori, and Numerical Analysis

Richard Evan Schwartz
Journal:
Annals of Mathematics
Year:
2001
Language:
english
File:
PDF, 3.74 MB
english, 2001
6

Quasi-isometric rigidity and diophantine approximation

Richard Evan Schwartz
Journal:
Acta Mathematica
Year:
1996
Language:
english
File:
PDF, 1.68 MB
english, 1996
7

Pentagram Spirals

Schwartz, Richard Evan
Journal:
Experimental Mathematics
Year:
2013
Language:
english
File:
PDF, 1.14 MB
english, 2013
8

Circle quotients and string art

Richard Evan Schwartz
Journal:
Topology
Year:
2002
Language:
english
File:
PDF, 396 KB
english, 2002
9

Lucy and Lily: A Game of Geometry and Number Theory

Schwartz, Richard Evan
Journal:
American Mathematical Monthly
Year:
2002
Language:
english
File:
PDF, 303 KB
english, 2002
10

Real hyperbolic on the outside, complex hyperbolic on the inside

Richard Evan Schwartz
Journal:
Inventiones mathematicae
Year:
2003
Language:
english
File:
PDF, 1.15 MB
english, 2003
11

The pentagram integrals for Poncelet families

Schwartz, Richard Evan
Journal:
Journal of Geometry and Physics
Year:
2015
Language:
english
File:
PDF, 501 KB
english, 2015
12

The Poncelet grid

Schwartz, Richard Evan
Journal:
Advances in Geometry
Year:
2007
Language:
english
File:
PDF, 406 KB
english, 2007
14

Symmetric patterns of geodesics and automorphisms of surface groups

Richard Evan Schwartz
Journal:
Inventiones mathematicae
Year:
1997
Language:
english
File:
PDF, 218 KB
english, 1997
15

Obtuse Triangular Billiards I: Near the (2, 3, 6) Triangle

Schwartz, Richard Evan
Journal:
Experimental Mathematics
Year:
2006
Language:
english
File:
PDF, 565 KB
english, 2006
16

The quasi-isometry classification of rank one lattices

Richard Evan Schwartz
Journal:
Publications Mathématiques de L'IHÉS
Year:
1995
Language:
english
File:
PDF, 1.77 MB
english, 1995
17

Obtuse Triangular Billiards II: One Hundred Degrees Worth of Periodic Trajectories

Schwartz, Richard Evan
Journal:
Experimental Mathematics
Year:
2009
Language:
english
File:
PDF, 527 KB
english, 2009
18

Degenerating the complex hyperbolic ideal triangle groups

Richard Evan Schwartz
Journal:
Acta Mathematica
Year:
2001
Language:
english
File:
PDF, 2.38 MB
english, 2001
19

Discrete monodromy, pentagrams, and the method of condensation

Richard Evan Schwartz
Journal:
Journal of Fixed Point Theory and Applications
Year:
2008
Language:
english
File:
PDF, 3.22 MB
english, 2008
21

Four Lines and a Rectangle

Schwartz, Richard Evan
Journal:
Experimental Mathematics
Year:
2020
File:
PDF, 1.04 MB
2020
22

The Density of Shapes in Three-Dimensional Barycentric Subdivision

Richard Evan Schwartz
Journal:
Discrete & Computational Geometry
Year:
2003
Language:
english
File:
PDF, 164 KB
english, 2003
23

The Five-Electron Case of Thomson’s Problem

Schwartz, Richard Evan
Journal:
Experimental Mathematics
Year:
2013
Language:
english
File:
PDF, 534 KB
english, 2013
24

Modular circle quotients and PL limit sets

Schwartz, Richard Evan
Journal:
Geometry & Topology
Year:
2004
File:
PDF, 330 KB
2004
25

Lengthening a tetrahedron

Schwartz, Richard Evan
Journal:
Geometriae Dedicata
Year:
2015
Language:
english
File:
PDF, 381 KB
english, 2015
26

Five Point Energy Minimization: A Synopsis

Schwartz, Richard Evan
Journal:
Constructive Approximation
Year:
2020
File:
PDF, 463 KB
2020
27

The Pentagram Map is Recurrent

Schwartz, Richard Evan
Journal:
Experimental Mathematics
Year:
2001
Language:
english
File:
PDF, 5.35 MB
english, 2001
28

Pushing a Rectangle down a Path

Schwartz, Richard Evan
Journal:
The Mathematical Intelligencer
Year:
2018
Language:
english
File:
PDF, 492 KB
english, 2018
30

Outer Billiards on Kites (AM-171) () || Chapter 6. The Master Picture Theorem

Schwartz, Richard Evan
Year:
2009
Language:
english
File:
PDF, 141 KB
english, 2009
31

Outer Billiards on Kites (AM-171) () || Chapter 13. Proof of Hexagrid Theorem I

Schwartz, Richard Evan
Year:
2009
Language:
english
File:
PDF, 116 KB
english, 2009
32

A Conformal Averaging Process on the Circle

Richard Evan Schwartz
Journal:
Geometriae Dedicata
Year:
2006
Language:
english
File:
PDF, 293 KB
english, 2006
34

Desargues Theorem, Dynamics, and Hyperplane Arrangements

Richard Evan Schwartz
Journal:
Geometriae Dedicata
Year:
2001
Language:
english
File:
PDF, 258 KB
english, 2001
36

Outer Billiards on Kites (AM-171) () || Chapter 19. The Decomposition Theorem

Schwartz, Richard Evan
Year:
2009
Language:
english
File:
PDF, 137 KB
english, 2009
38

Outer Billiards on Kites (AM-171) () || Chapter 20. Existence of Strong Sequences

Schwartz, Richard Evan
Year:
2009
Language:
english
File:
PDF, 98 KB
english, 2009
44

Spherical CR Geometry and Dehn Surgery (AM-165) () || Bibliography

Schwartz, Richard Evan
Year:
2007
Language:
english
File:
PDF, 97 KB
english, 2007
45

Outer Billiards on Kites (AM-171) () || Chapter 2. The Arithmetic Graph

Schwartz, Richard Evan
Year:
2009
Language:
english
File:
PDF, 177 KB
english, 2009
48

Spherical CR Geometry and Dehn Surgery (AM-165) () || Index

Schwartz, Richard Evan
Year:
2007
Language:
english
File:
PDF, 87 KB
english, 2007
49

Outer Billiards on Kites (AM-171) () || Chapter 22. The Fundamental Orbit

Schwartz, Richard Evan
Year:
2009
Language:
english
File:
PDF, 153 KB
english, 2009