10321
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Inverse Gnomonic Projections of Plane Regions
This Demonstration shows inverse gnomonic projections of flat surface areas lying in a horizontal plane tangent to the projection sphere.
Contributed by:
Thomas Burke
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
SNAPSHOTS
DETAILS
Snapshot 1: inverse gnomonic projections of lines are great semicircles
Snapshot 2: inverse gnomonic projections of circles typically are not circles
Snapshot 3: inverse gnomonic projection density increases with the projected region's distance from the tangent point
RELATED LINKS
Gnomonic Projection
(
Wolfram
MathWorld
)
Inverse Stereographic Projection of Simple Geometric Shapes
(
Wolfram Demonstrations Project
)
Inverse Stereographic Projection of the Logarithmic Spiral
(
Wolfram Demonstrations Project
)
Spherical Trigonometry on a Gnomonic Projection
(
Wolfram Demonstrations Project
)
Spherical Triangle Solutions
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Thomas Burke
"
Inverse Gnomonic Projections of Plane Regions
"
http://demonstrations.wolfram.com/InverseGnomonicProjectionsOfPlaneRegions/
Wolfram Demonstrations Project
Published: December 2, 2011
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
Inverse Stereographic Projection of Simple Geometric Shapes
Erik Mahieu
Orthographic Projection of Parallelepipeds
Anastasiya Rybik
Projecting Graphs of Real-Valued Functions of a Real Variable to the Riemann Sphere
Chris Dock
Spherical Trigonometry on a Gnomonic Projection
S. M. Blinder
Stereographic Projection of Platonic Solids
Emile Okada
Reflecting in Intersecting Planes
George Beck
Reflecting in Parallel Planes
George Beck
The Riemann Sphere as a Stereographic Projection
Christopher Grattoni
Two Models of Projective Geometry
George Beck
House-Like Solids from Kindergarten Blocks
Izidor Hafner
Related Topics
3D Graphics
Geometric Transformations
Projective Geometry
Solid 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+