10095
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Direct Isometries of the Hyperbolic Plane
Create some points, lines, triangles, and circles in the Poincaré disk model for the hyperbolic plane. Choose parameters
and
to map them by the direct (or orientation-preserving) isometry
.
Contributed by:
Gasper Zadnik
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Of the two possible horocycles, the one that looks smaller is used.
RELATED LINKS
Poincaré Hyperbolic Disk
(
Wolfram
MathWorld
)
Isometry
(
Wolfram
MathWorld
)
Lines through Points in the Poincaré Disk
(
Wolfram Demonstrations Project
)
Triangles in the Poincaré Disk
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Gasper Zadnik
"
Direct Isometries of the Hyperbolic Plane
"
http://demonstrations.wolfram.com/DirectIsometriesOfTheHyperbolicPlane/
Wolfram Demonstrations Project
Published: April 19, 2013
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Tiling the Hyperbolic Plane with Regular Polygons
Ga?per Zadnik
Reflecting a Regular Polygon across Its Sides in the Hyperbolic Plane
Gasper Zadnik
Hyperbolic Quadrilateral
Ron Grosz
Hyperbolic Triangle
Michael Rach and Ron Grosz
Poincaré Hyperbolic Disk
Eric W. Weisstein
Knitting Hyperbolic Pants
Sarah-Marie Belcastro
The Disappearing Hyperbolic Squares
Stan Wagon
Horosphere Packings of the (3, 3, 6) Coxeter Honeycomb in Three-Dimensional Hyperbolic Space
Robert Thijs Kozma
Triangles in the Poincaré Disk
Borut Levart
Pseudosphere Geodesics
Antonin Slavik
Related Topics
Complex Analysis
Hyperbolic Geometry
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+