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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
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