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In geometry, the band model is a 
Geodesics include the line along the middle of the band, and any open line segment perpendicular to boundaries of the band connecting the sides of the band. All geodesics have ends with either are orthogonal to the boundaries of the band or which approach . Lines parallel to the boundaries of the band within the band are hypercycles whose centers are the line through the middle of the band.
Models of hyperbolic geometry
Conformal Models of the Hyperbolic Geometry
Conformal geometry Hyperbolic geometry {{geometry-stub
In geometry, the band model is a conformal
Conformal may refer to:
* Conformal (software), in ASIC Software
* Conformal coating in electronics
* Conformal cooling channel, in injection or blow moulding
* Conformal field theory in physics, such as:
** Boundary conformal field theory ...
model of the hyperbolic plane. The band model employs a portion of the Euclidean plane between two parallel lines. Distance is preserved along one line through the middle of the band. Assuming the band is given by , the metric is given by .
Geodesics include the line along the middle of the band, and any open line segment perpendicular to boundaries of the band connecting the sides of the band. All geodesics have ends with either are orthogonal to the boundaries of the band or which approach . Lines parallel to the boundaries of the band within the band are hypercycles whose centers are the line through the middle of the band.
See also
*Mercator projection
The Mercator projection () is a cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in 1569. It became the standard map projection for navigation because it is unique in representing north as up and sou ...
References
External links
Models of hyperbolic geometry
Conformal Models of the Hyperbolic Geometry
Conformal geometry Hyperbolic geometry {{geometry-stub