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Explanation:
Numerical Calculation
Angle Calculations
Steepest Faces
Peak Lists:
Arizona Summits
California Summits
Colorado Summits
Idaho Summits
Montana Summits
Nevada Summits
New Mexico Summits
Oregon Summits
Utah Summits
Washington Summits
Wyoming Summits
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National Elevation Dataset: Steepest Faces
Steepest Faces: Lists
The lists below identify the steepest faces(90 degree sections) in a given state from the summit to a horizontal distance of 100m and 800m. 1600m available for MT and ID for now. Click on the peak name for a graphical representation. See below for detailed explanation.
- Colorado
- Idaho
- Montana
- New Mexico
- Wyoming
- Arizona, California, Nevada, Oregon, Utah, Washington
Calculation details:
For a given peak, every 90 degree "pie slice" radiating from a summit it analyzed, starting at 0-90 degrees, 1-91, 2-92, ... , 359-89. A vertical angle is taken at each degree within each 90 degree horizontal span, as shown in the diagram below. These 90 vertical angles are then averaged to come up with a representative vertical angle for that particualar quarter. This process is repeated for all 360 pie slices to find quarter with the maximum average vertical angle throughout its 90 degree horizontal span. This maximum average vertical angle is found for each peak(p>=300) in a given state and then ranked in descending order such that peaks with the steepest 90 segments, or faces, are shown at the top. aStart and aEnd denote the 90 degree section, with the angle figure on the left representing the average vertical angle for that section. Click on the peak name for a graphical representation of the steepest 90 degree section.
Note that these steepest faces are measured from the summit, which is not always at the the very cliff edge. Also note that only the maximum average vertical angle is used for ranking purposes - one per peak. This to avoid certain peaks with very steep faces(Mt Cleveland in MT for example) dominating the ranking with multiple steep quarters, say 315-45, 316-46, etc.
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