Index: detour/3_hull.html
===================================================================
--- detour/3_hull.html	(revision 895)
+++ detour/3_hull.html	(revision 896)
@@ -177,7 +177,7 @@
 <p>
 
 <div class="img"><center>
-<p><img src="img/geo_wallin.png">
+<p><img src="img/geo_hwallin.png">
 <p>Figure 3/6. a. N1 inside N3, crossing edges; b. spokes and convex hull;
 c. path chosen; d. same case but no crossing; e. spokes and convex hull;
 f. path chosen;
@@ -191,10 +191,17 @@
 	<li> the other half is the resulting path; replace the offending line with this path
 </ul>
 
-TODO: zig-zag example: if the vertical dashed line is intersected from both
+<p>
+TODO: However, this will break in the following case:
+<div class="img"><center>
+<p><img src="img/geo_hwallin_brk.png">
+<p>Figure 3/x. zig-zag example: if the vertical dashed line is intersected from both
 left and right by N3, the hull won't work! probably go "one-by-one"?
+</center></div>
+<p>
 
 
+
 <h3> 3.4. Switch-layer cases: V1, V2, V3 </h3>
 <p>
 First exclude V1 or V2 depending on the existing objects on offending N1
Index: detour/img/Makefile
===================================================================
--- detour/img/Makefile	(revision 895)
+++ detour/img/Makefile	(revision 896)
@@ -10,6 +10,7 @@
 	geo_hnear.png \
 	geo_hpierce.png \
 	geo_hwallin.png \
+	geo_hwallin_brk.png \
 	topo_cross1.png \
 	topo_cross2.png \
 	topo_cross3.png
Index: detour/img/geo_hpierce.png
===================================================================
Cannot display: file marked as a binary type.
svn:mime-type = application/octet-stream
Index: detour/img/geo_hwallin_brk.lht
===================================================================
--- detour/img/geo_hwallin_brk.lht	(nonexistent)
+++ detour/img/geo_hwallin_brk.lht	(revision 896)
@@ -0,0 +1,643 @@
+ha:pcb-rnd-board-v7 {
+
+ li:styles {
+   ha:normal {
+    diameter = 2.2mm
+    text_scale = 200
+    text_thick = 1.0mm
+    thickness = 1.0mm
+    hole = 2.0mm
+    clearance = 20.0mil
+   }
+   ha:thick {
+    diameter = 2.2mm
+    text_scale = 0
+    text_thick = 0.0
+    thickness = 1.7mm
+    hole = 1.0mm
+    clearance = 20.0mil
+   }
+   ha:thin {
+    diameter = 137.8mil
+    text_scale = 0
+    text_thick = 0.0
+    thickness = 0.35mm
+    hole = 47.24mil
+    clearance = 25.0mil
+   }
+    ha:thinner {
+     diameter = 275.6mil
+     text_scale = 100
+     text_thick = 0.0
+     thickness = 0.15mm
+     hole = 47.24mil
+     clearance = 25.0mil
+    }
+ }
+
+ ha:meta {
+   ha:size {
+    thermal_scale = 0.500000
+    x = 40.25mm
+    y = 39.5mm
+   }
+   ha:grid {
+    spacing = 0.25mm
+    offs_x = 0.0
+    offs_y = 0.0
+   }
+ }
+
+ ha:data {
+  li:padstack_prototypes {
+
+    unused = 1
+    unused = 1
+    unused = 1
+  }
+
+   li:objects {
+   }
+   li:layers {
+
+
+     ha:draft {
+      lid=0
+      group=3
+      ha:combining {      }
+
+       li:objects {
+        ha:line.5859 {
+         x1=31.25mm; y1=25.25mm; x2=31.25mm; y2=30.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5865 {
+         x1=29.5mm; y1=29.5mm; x2=32.75mm; y2=26.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5868 {
+         x1=28.75mm; y1=27.75mm; x2=33.75mm; y2=27.75mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5874 {
+         x1=33.0mm; y1=29.5mm; x2=27.5mm; y2=24.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5877 {
+         x1=27.5mm; y1=27.5mm; x2=30.75mm; y2=24.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5880 {
+         x1=26.75mm; y1=25.75mm; x2=31.75mm; y2=25.75mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5883 {
+         x1=29.25mm; y1=28.25mm; x2=29.25mm; y2=19.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5886 {
+         x1=27.5mm; y1=19.75mm; x2=31.0mm; y2=23.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5889 {
+         x1=27.5mm; y1=23.25mm; x2=30.75mm; y2=20.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5892 {
+         x1=26.75mm; y1=21.5mm; x2=31.75mm; y2=21.5mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5895 {
+         x1=31.25mm; y1=18.0mm; x2=31.25mm; y2=23.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5898 {
+         x1=29.5mm; y1=18.75mm; x2=33.0mm; y2=22.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5901 {
+         x1=29.5mm; y1=22.25mm; x2=32.75mm; y2=19.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5904 {
+         x1=28.75mm; y1=20.5mm; x2=33.75mm; y2=20.5mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5910 {
+         x1=29.5mm; y1=10.75mm; x2=33.0mm; y2=14.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5913 {
+         x1=29.5mm; y1=14.25mm; x2=32.75mm; y2=11.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5916 {
+         x1=28.75mm; y1=12.5mm; x2=33.75mm; y2=12.5mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5919 {
+         x1=31.25mm; y1=15.0mm; x2=31.25mm; y2=7.75mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5922 {
+         x1=29.5mm; y1=8.5mm; x2=33.0mm; y2=12.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5925 {
+         x1=29.5mm; y1=12.0mm; x2=32.75mm; y2=8.75mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5928 {
+         x1=28.75mm; y1=10.25mm; x2=33.75mm; y2=10.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5931 {
+         x1=32.75mm; y1=9.0mm; x2=32.75mm; y2=14.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5934 {
+         x1=31.0mm; y1=9.75mm; x2=34.5mm; y2=13.25mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5937 {
+         x1=31.0mm; y1=13.25mm; x2=34.25mm; y2=10.0mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:line.5940 {
+         x1=30.25mm; y1=11.5mm; x2=35.25mm; y2=11.5mm; thickness=0.15mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:arc.5319 {
+         x=9.75mm; y=33.75mm; width=0.6mm; height=0.6mm; astart=0.000000; adelta=360.000000; thickness=0.8mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:arc.5320 {
+         x=9.75mm; y=3.75mm; width=0.6mm; height=0.6mm; astart=0.000000; adelta=360.000000; thickness=0.8mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:arc.5801 {
+         x=31.25mm; y=33.75mm; width=0.6mm; height=0.6mm; astart=0.000000; adelta=360.000000; thickness=0.8mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+        ha:arc.5802 {
+         x=31.25mm; y=3.75mm; width=0.6mm; height=0.6mm; astart=0.000000; adelta=360.000000; thickness=0.8mm; clearance=50.0mil;
+         ha:flags {
+          clearline=1
+         }
+        }
+       }
+       color = {#757575}
+     }
+    ha:ratlines {
+     lid=1
+     group=4
+     ha:combining {     }
+
+      li:objects {
+       ha:line.1758 {
+        x1=9.75mm; y1=3.75mm; x2=9.75mm; y2=6.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.1761 {
+        x1=9.75mm; y1=9.5mm; x2=9.75mm; y2=13.25mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.1764 {
+        x1=9.75mm; y1=15.5mm; x2=9.75mm; y2=17.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.1767 {
+        x1=9.75mm; y1=19.75mm; x2=9.75mm; y2=22.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.1770 {
+        x1=9.75mm; y1=33.75mm; x2=9.75mm; y2=26.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5803 {
+        x1=31.25mm; y1=3.75mm; x2=31.25mm; y2=6.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5806 {
+        x1=31.25mm; y1=9.5mm; x2=31.25mm; y2=13.25mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5809 {
+        x1=31.25mm; y1=15.5mm; x2=31.25mm; y2=17.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5812 {
+        x1=31.25mm; y1=19.75mm; x2=31.25mm; y2=22.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5815 {
+        x1=31.25mm; y1=33.75mm; x2=31.25mm; y2=26.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:text.2044 {
+        string=N1; x=8.25mm; y=6.0mm; scale=100; fid=0;
+        ha:flags {
+         clearline=1
+        }
+        rot = 0.000000
+       }
+       ha:text.5818 {
+        string=N1; x=29.75mm; y=6.0mm; scale=100; fid=0;
+        ha:flags {
+         clearline=1
+        }
+        rot = 0.000000
+       }
+      }
+      color = {#d3a232}
+    }
+
+    ha:wires {
+     lid=2
+     group=5
+     ha:combining {     }
+
+      li:objects {
+       ha:line.3896 {
+        x1=16.5mm; y1=1.25mm; x2=1.25mm; y2=2.25mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.3899 {
+        x1=1.25mm; y1=2.25mm; x2=11.25mm; y2=11.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.3911 {
+        x1=17.25mm; y1=17.0mm; x2=16.5mm; y2=1.25mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5557 {
+        x1=11.25mm; y1=11.5mm; x2=4.75mm; y2=16.25mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5560 {
+        x1=4.75mm; y1=16.25mm; x2=4.75mm; y2=35.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5563 {
+        x1=4.75mm; y1=35.5mm; x2=17.5mm; y2=35.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5569 {
+        x1=17.5mm; y1=35.5mm; x2=7.75mm; y2=25.75mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5575 {
+        x1=17.25mm; y1=17.0mm; x2=7.75mm; y2=21.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5578 {
+        x1=7.75mm; y1=21.5mm; x2=7.75mm; y2=25.75mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5819 {
+        x1=38.0mm; y1=1.25mm; x2=22.75mm; y2=2.25mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5822 {
+        x1=22.75mm; y1=2.25mm; x2=32.75mm; y2=11.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5825 {
+        x1=38.75mm; y1=17.0mm; x2=38.0mm; y2=1.25mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5828 {
+        x1=32.75mm; y1=11.5mm; x2=26.25mm; y2=16.25mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5831 {
+        x1=26.25mm; y1=16.25mm; x2=26.25mm; y2=35.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5834 {
+        x1=26.25mm; y1=35.5mm; x2=39.0mm; y2=35.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5837 {
+        x1=39.0mm; y1=35.5mm; x2=29.25mm; y2=25.75mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5840 {
+        x1=38.75mm; y1=17.0mm; x2=29.25mm; y2=21.5mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5843 {
+        x1=29.25mm; y1=21.5mm; x2=29.25mm; y2=25.75mm; thickness=0.35mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:text.5984 {
+        string=a; x=4.75mm; y=36.25mm; scale=200; fid=0;
+        ha:flags {
+         clearline=1
+        }
+        rot = 0.000000
+       }
+       ha:text.5985 {
+        string=b; x=26.25mm; y=36.25mm; scale=200; fid=0;
+        ha:flags {
+         clearline=1
+        }
+        rot = 0.000000
+       }
+      }
+      color = {#104e8b}
+    }
+
+    ha:annotation {
+     lid=3
+     group=6
+     ha:combining {     }
+
+      li:objects {
+       ha:line.5949 {
+        x1=31.25mm; y1=33.75mm; x2=27.5mm; y2=27.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5952 {
+        x1=27.5mm; y1=27.5mm; x2=26.75mm; y2=25.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5955 {
+        x1=26.75mm; y1=25.75mm; x2=26.75mm; y2=21.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5958 {
+        x1=26.75mm; y1=21.5mm; x2=28.75mm; y2=12.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5961 {
+        x1=28.75mm; y1=12.5mm; x2=28.75mm; y2=10.25mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5964 {
+        x1=28.75mm; y1=10.25mm; x2=31.25mm; y2=3.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5967 {
+        x1=31.25mm; y1=3.75mm; x2=35.25mm; y2=11.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5970 {
+        x1=35.25mm; y1=11.5mm; x2=34.5mm; y2=13.25mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5973 {
+        x1=34.5mm; y1=13.25mm; x2=33.75mm; y2=20.5mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5976 {
+        x1=33.75mm; y1=20.5mm; x2=33.75mm; y2=27.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+       ha:line.5979 {
+        x1=33.75mm; y1=27.75mm; x2=31.25mm; y2=33.75mm; thickness=0.15mm; clearance=50.0mil;
+        ha:flags {
+         clearline=1
+        }
+       }
+      }
+      color = {#cd3700}
+    }
+
+     ha:top-doc {
+      lid=4
+      group=7
+      ha:combining {      }
+
+       li:objects {
+       }
+       color = {#548b54}
+     }
+   }
+ }
+ ha:layer_stack {
+  li:groups {
+   ha:0 {
+    name = grp_4
+    ha:type { substrate=1; intern=1;    }
+    li:layers {    }
+    ha:attributes {
+     thickness={0.7375mm }
+    }
+   }
+   ha:1 {
+    name = grp_6
+    ha:type { substrate=1; intern=1;    }
+    li:layers {    }
+    ha:attributes {
+     thickness={0.125mm }
+    }
+   }
+   ha:2 {
+    name = grp_8
+    ha:type { substrate=1; intern=1;    }
+    li:layers {    }
+    ha:attributes {
+     thickness={0.7375mm }
+    }
+   }
+   ha:3 {
+    name = top-doc
+    ha:type { top=1; doc=1;    }
+    li:layers { 0;    }
+    ha:attributes {
+     init-invis=0
+    }
+    purpose = fab
+   }
+   ha:4 {
+    name = top-doc
+    ha:type { top=1; doc=1;    }
+    li:layers { 1;    }
+    ha:attributes {
+     init-invis=0
+    }
+    purpose = fab
+   }
+   ha:5 {
+    name = top-doc
+    ha:type { top=1; doc=1;    }
+    li:layers { 2;    }
+    ha:attributes {
+     init-invis=0
+    }
+    purpose = fab
+   }
+   ha:6 {
+    name = top-doc
+    ha:type { top=1; doc=1;    }
+    li:layers { 3;    }
+    ha:attributes {
+     init-invis=0
+    }
+    purpose = fab
+   }
+    ha:7 {
+     name = top-doc
+     ha:type { top=1; doc=1;     }
+     li:layers { 4;     }
+     purpose = fab
+    }
+  }
+ }
+ li:pcb-rnd-conf-v1 {
+  ha:overwrite {
+   ha:design {
+    text_font_id = 0
+    text_scale = 100
+    via_thickness = 275.60 mil
+    via_drilling_hole = 47.24 mil
+    text_thickness = 0
+    line_thickness = 150.00 um
+    clearance = 25.00 mil
+   }
+   ha:editor {
+    grid_unit = mm
+    buffer_number = 0
+    all_direction_lines = true
+    grids_idx = 10
+    grid = 250.00 um
+     wireframe_draw = false
+   }
+  }
+ }
+ ha:pixmaps {
+ }
+}
Index: detour/img/geo_hwallin_brk.png
===================================================================
Cannot display: file marked as a binary type.
svn:mime-type = application/octet-stream
Index: detour/img/geo_hwallin_brk.png
===================================================================
--- detour/img/geo_hwallin_brk.png	(nonexistent)
+++ detour/img/geo_hwallin_brk.png	(revision 896)

Property changes on: detour/img/geo_hwallin_brk.png
___________________________________________________________________
Added: svn:mime-type
## -0,0 +1 ##
+application/octet-stream
\ No newline at end of property