California

Two shapes roughly outlining California. In the picture below there are too many yellow lines, each of which is a depiction of a halfspace. The normal form reveals, that there are 13 halfspaces in this region. The specification is a union of a rectangle and the convex hull of a pointset.
 
Shown here rotated and aligned with a map.

 

SPECIFICATION

region
   rect latlon 39 -125 42 -120
   chull latlon 39 -124 39 -120 35 -114.6 34.3 -114.1 32.74 -114.5 
       32.53 -117.1 33.2 -119.5 34 -120.5 34.57 -120.65 36.3 -121.9 36.6
      -122.0 38 -123.03

NORMAL FORM

REGION CONVEX
0 0 1 0.62932039104983739 0 0 -1 -0.66913060635885824 0.81915204428899169 -0.57357643635104616 0 0 -0.86602540378443871 0.49999999999999978 0 0 CONVEX 0.89308671536223039 -0.21799162471045355 0.39354259032485828 0 0.79948071926712 -0.00069136692621743891 0.600691352969145 0 0.52188865132412365 0.30397031727287555 0.79701586046710171 0 0.147727543839837 0.5249540377410824 0.83821228280811022 0 -0.84375775240707662 0.5076498271159412 0.17425414853630666 0 -0.904246387008799 0.093056403834248042 -0.4167480981204 0 -0.80713903337166959 -0.0808226102265135 -0.58480277571504369 0 -0.33361172406513495 -0.5338903613143523 -0.77695836417527464 0

COVERMAP

15277198671872, 15278272413695
15298673508352, 15300820991999
15301089427456, 15302968475647
15303236911104, 15305115959295
15306189701120, 15308337184767
15310753103872, 15311021539327
15328738279424, 15329006714879
15329275150336, 15329812021247
15331154198528, 15331422633983
15332227940352, 15332496375807
15350213115904, 15350749986815
15351018422272, 15351286857727
15384572854272, 15384841289727

 


Last update March 29, 2007 György Fekete version 3.1.2