[Gmsh] Error : Self intersecting surface mesh, computing intersections (this could take a while)
Steffen Becker
steffenbecker87 at yahoo.de
Wed Mar 12 18:21:25 CET 2014
Thank you so far,
I create both files: .msh and .geo, but I still get the same error.
What's my mistake?
Steffen
Am 12.03.2014 11:48, schrieb Roman Fratczak:
> Hi,
>
> FYI - you can remove double vertices/edges (or repair) in mesh in
> FreeCad (for exampe).
>
> regards
> Roman
>
>
>
> W dniu 12.03.2014 10:17, Steffen Becker pisze:
>> Hi Matthias & Roman,
>>
>> I create a nodes- and elements-list like this:
>> # nodes:
>> N1 0,0,0
>> N2 0,1,0
>> N3 1,0,0
>> N4 0,0,1
>> # elements, which describe triangles:
>> E1 1,2,3
>> E2 2,3,4
>>
>> So I do have double edges (here: between node 2+3). Didn't now that
>> this is a problem for gmsh, sorry.
>>
>> I will try Romans solution asap and give you a feedback.
>> Thank you both!
>>
>> Steffen
>>
>>
>> Am 12.03.2014 09:59, schrieb Zenker, Dr. Matthias:
>>>
>>> Hi Steffen,
>>>
>>> I am not totally sure from what you wrote that there are really no
>>> duplicated nodes. In gmsh, you need to define the surfaces in a way
>>> that neighbouring surfaces/facets with a common border use the
>>> _/same/_ nodes to define the border. I could not see from your file
>>> if there are duplicated nodes, and would propose that you make sure
>>> that there are really no such duplications.
>>>
>>> If the meshing still fails, then this is a question for the real
>>> gurus (Christophe?).
>>>
>>> HTH,
>>>
>>> Matthias
>>>
>>> *Von:*Roman Fratczak [mailto:fratczakroman at o2.pl]
>>> *Gesendet:*Mittwoch, 12. März 2014 09:51
>>> *An:* Steffen Becker
>>> *Cc:* gmsh at geuz.org
>>> *Betreff:* Re: [Gmsh] Error : Self intersecting surface mesh,
>>> computing intersections (this could take a while)
>>>
>>> Hi Steffen,
>>>
>>> No it is more clear. If you are working with cloud of point, then
>>> you may use Meshlab for surface regeneration. There are many
>>> software that are able to handle in a resonable way the cloud of
>>> points (like rhino3D + resurf, other). But these are rather commercial.
>>>
>>> From the other side - try to do the simplest thing:
>>>
>>> Adjust your python script for surface creation in order to save not
>>> as PLY but as GMSH "geo" file using points and lines
>>>
>>> Point(1)={0,0,0} ;
>>> Point(2)={0,1,0} ;
>>> ...
>>>
>>> Line(1) = {1,2};
>>> ..
>>> and.. Line Loop & Surface -> Volume ..
>>>
>>> Then you will get a volume defined by geometric entities. In this
>>> case is shoul be easier to create a better mesh on surface and then
>>> on whole volume.
>>>
>>> Regards
>>> Roman
>>>
>>>
>>>
>>> W dniu 11.03.2014 17:59, Steffen Becker pisze:
>>>
>>> Hi,
>>>
>>> @ Roman:
>>> some more details:
>>> I have a point cloud given and generate the surface mesh by
>>> myself (with python). I don't know a good algorithm to create a
>>> volume mesh out of this surface mesh - that's why I use gmsh for
>>> this task.
>>> I also checked my surface mesh for double vertexes but I didn't
>>> find any. What do you mean with "double egdes"? Isn't there
>>> always a "double edge", because two neighbour facets always have
>>> one same edge?!
>>>
>>> I will send you a .step or .iges file as soon as I figured out
>>> how to handle the "No OpenCASCADE model found" error.
>>>
>>> I'm appending the other mailing history (with Matthias) to this
>>> mail - sorry for that "double mailing", I just forgot one time
>>> to "reply to all" -.-
>>> Anyone else has an idea why the meshing fails?
>>>
>>> Regards and thank you a lot,
>>> Steffen
>>>
>>>
>>>
>>> Hi Steffen,
>>>
>>>
>>>
>>> I don't see either why the meshing fails, sorry.
>>>
>>>
>>>
>>> Matthias
>>>
>>>
>>>
>>> -----Ursprüngliche Nachricht-----
>>>
>>> Von: Steffen Becker [mailto:steffenbecker87 at yahoo.de]
>>>
>>> Gesendet: Dienstag, 11. März 2014 14:42
>>>
>>> An: Zenker, Dr. Matthias
>>>
>>> Cc:gmsh at geuz.org <mailto:gmsh at geuz.org>
>>>
>>> Betreff: Re: [Gmsh] Error : Self intersecting surface mesh, computing
>>>
>>> intersections (this could take a while)
>>>
>>>
>>>
>>> Oh I'm really sorry, here is the file.
>>>
>>> In addition I sent you also the intersect.pos. I don't understand why exactly
>>>
>>> these surfaces are problematic and the "neighbour surfaces"
>>>
>>> aren't - although they have the same geometry =/
>>>
>>>
>>>
>>> Am 11.03.2014 12:07, schrieb Zenker, Dr. Matthias:
>>>
>>> Hi Steffen,
>>>
>>>
>>>
>>> if you don't provide the myfile.ply2, we cannot see your geometry...
>>>
>>> You can visualize intersect.pos by merging it to your geometry.
>>>
>>>
>>>
>>> HTH,
>>>
>>>
>>>
>>> Matthias
>>>
>>>
>>>
>>>
>>>
>>> Am 11.03.2014 14:33, schrieb Roman Fratczak:
>>>
>>> Hello,
>>>
>>> It is possible, that you will get your geometry in other
>>> format?
>>> In your "ply" there is already a surface mesh given. Try
>>> maybe use STEP, IGES,... as input- then it is easer to
>>> recalculate the surface mesh.
>>>
>>> In case of need of usage of "a dead mesh" - maybe try first
>>> to remesh it (i.e. in blender with modification Remesh)
>>> and/or clean it (removing double vertexes and edges).
>>>
>>> regards
>>> Roman
>>>
>>>
>>>
>>>
>>> W dniu 11.03.2014 12:13, Steffen Becker pisze:
>>>
>>> Hi,
>>>
>>> in the appendix you find my model.
>>> Thanks for help!!
>>>
>>> Regards,
>>> Steffen
>>>
>>> Am 11.03.2014 11:47, schrieb Roman Fratczak:
>>>
>>> Hello Steffen,
>>>
>>> Yes. You can try to the first Optimize quality of
>>> tetra, or all of them (just try).
>>>
>>> I don't know how your model looks like. If the
>>> elements on the surface are too big, then the solid
>>> elements (probably tetragonal) may be with
>>> intersecting edges or faces. Therefore the reducing
>>> size of element may help (especially on the surfaces).
>>>
>>> Or- just share your model (ply) -in order to be more
>>> precise.
>>>
>>> regards
>>> Roman
>>>
>>>
>>>
>>> W dniu 10.03.2014 18:06, Steffen Becker pisze:
>>>
>>> Hi Roman,
>>> when you say "enable option: optimize", you
>>> mean" Tools -> Options -> Mesh -> Advanced ->
>>> Optimize quality of tetrahedra, Optimize quality
>>> of tetrahedra with Netgen, Optimize high order
>>> meshes (experimental)" ?
>>> And why is reducing element size important? In
>>> my case it is important that the object has such
>>> "90 degree corners".
>>>
>>> Regards,
>>> Steffen
>>>
>>> Am 10.03.2014 16:55, schrieb Roman Fratczak:
>>>
>>> Hi Steffen,
>>>
>>> If your volume is OK (is really a closed
>>> one) - try to:
>>>
>>> 1. Reduce element size (especially in a
>>> curved shapes)
>>> 2. Enable option "Optimize" - in mesh options
>>>
>>> Regards
>>> Roman
>>>
>>>
>>>
>>> W dniu 10.03.2014 16:41, Steffen Becker pisze:
>>>
>>> Hello everyone,
>>>
>>> I'm a gmsh beginner and I want to create
>>> a 3D volume mesh out of a given
>>> surface-mesh but I got the error message
>>> as seen in the subject. You find my .geo
>>> file in the appendix.
>>> Can anyone tell me what I have to do to
>>> create a 3D mesh? I even can't figure
>>> out where the intersection are located
>>> (don't know how to read the intersect.pos).
>>> Sorry for my poor english.
>>>
>>> Regards,
>>> Steffen
>>>
>>>
>>>
>>> _______________________________________________
>>>
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>>>
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>>>
>>> http://www.geuz.org/mailman/listinfo/gmsh
>>>
>>>
>>>
>>>
>>>
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>>>
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>>>
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>>>
>>>
>>>
>>>
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>>
>
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1878 2 2 0 1 890 988 891
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1880 2 2 0 1 891 989 892
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1896 2 2 0 1 899 997 900
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1899 2 2 0 1 901 998 999
1900 2 2 0 1 901 999 902
1901 2 2 0 1 902 999 1000
1902 2 2 0 1 902 1000 903
1903 2 2 0 1 903 1000 1001
1904 2 2 0 1 903 1001 904
1905 2 2 0 1 904 1001 1002
1906 2 2 0 1 904 1002 905
1907 2 2 0 1 905 1002 1003
1908 2 2 0 1 905 1003 906
1909 2 2 0 1 906 1003 1004
1910 2 2 0 1 906 1004 907
1911 2 2 0 1 907 1004 1005
1912 2 2 0 1 907 1005 908
1913 2 2 0 1 908 1005 1006
1914 2 2 0 1 908 1006 909
1915 2 2 0 1 909 1006 1007
1916 2 2 0 1 909 1007 910
1917 2 2 0 1 910 1007 1008
1918 2 2 0 1 910 1008 911
1919 2 2 0 1 911 1008 1009
1920 2 2 0 1 911 1009 912
1921 2 2 0 1 912 1009 1010
1922 2 2 0 1 912 1010 913
1923 2 2 0 1 913 1010 1011
1924 2 2 0 1 913 1011 914
1925 2 2 0 1 914 1011 1012
1926 2 2 0 1 914 1012 915
1927 2 2 0 1 915 1012 1013
1928 2 2 0 1 915 1013 916
1929 2 2 0 1 916 1013 1014
1930 2 2 0 1 916 1014 917
1931 2 2 0 1 917 1014 1015
1932 2 2 0 1 917 1015 918
1933 2 2 0 1 918 1015 1016
1934 2 2 0 1 918 1016 919
1935 2 2 0 1 919 1016 1017
1936 2 2 0 1 919 1017 920
1937 2 2 0 1 920 1017 1018
1938 2 2 0 1 920 1018 921
1939 2 2 0 1 921 1018 1019
1940 2 2 0 1 921 1019 922
1941 2 2 0 1 922 1019 1020
1942 2 2 0 1 922 1020 923
1943 2 2 0 1 923 1020 1021
1944 2 2 0 1 923 1021 924
1945 2 2 0 1 924 1021 1022
1946 2 2 0 1 924 1022 925
1947 2 2 0 1 925 1022 1023
1948 2 2 0 1 925 1023 926
1949 2 2 0 1 926 1023 1024
1950 2 2 0 1 1024 1122 927
1951 2 2 0 1 927 1122 1025
1952 2 2 0 1 927 1025 928
1953 2 2 0 1 928 1025 1026
1954 2 2 0 1 928 1026 929
1955 2 2 0 1 929 1026 1027
1956 2 2 0 1 929 1027 930
1957 2 2 0 1 930 1027 1028
1958 2 2 0 1 930 1028 931
1959 2 2 0 1 931 1028 1029
1960 2 2 0 1 931 1029 932
1961 2 2 0 1 932 1029 1030
1962 2 2 0 1 932 1030 933
1963 2 2 0 1 933 1030 1031
1964 2 2 0 1 933 1031 934
1965 2 2 0 1 934 1031 1032
1966 2 2 0 1 934 1032 935
1967 2 2 0 1 935 1032 1033
1968 2 2 0 1 935 1033 936
1969 2 2 0 1 936 1033 1034
1970 2 2 0 1 936 1034 937
1971 2 2 0 1 937 1034 1035
1972 2 2 0 1 937 1035 938
1973 2 2 0 1 938 1035 1036
1974 2 2 0 1 938 1036 939
1975 2 2 0 1 939 1036 1037
1976 2 2 0 1 939 1037 940
1977 2 2 0 1 940 1037 1038
1978 2 2 0 1 940 1038 941
1979 2 2 0 1 941 1038 1039
1980 2 2 0 1 941 1039 942
1981 2 2 0 1 942 1039 1040
1982 2 2 0 1 942 1040 943
1983 2 2 0 1 943 1040 1041
1984 2 2 0 1 943 1041 944
1985 2 2 0 1 944 1041 1042
1986 2 2 0 1 944 1042 945
1987 2 2 0 1 945 1042 1043
1988 2 2 0 1 945 1043 946
1989 2 2 0 1 946 1043 1044
1990 2 2 0 1 946 1044 947
1991 2 2 0 1 947 1044 1045
1992 2 2 0 1 947 1045 948
1993 2 2 0 1 948 1045 1046
1994 2 2 0 1 948 1046 949
1995 2 2 0 1 949 1046 1047
1996 2 2 0 1 949 1047 950
1997 2 2 0 1 950 1047 1048
1998 2 2 0 1 950 1048 951
1999 2 2 0 1 951 1048 1049
2000 2 2 0 1 951 1049 952
2001 2 2 0 1 952 1049 1050
2002 2 2 0 1 952 1050 953
2003 2 2 0 1 953 1050 1051
2004 2 2 0 1 953 1051 954
2005 2 2 0 1 954 1051 1052
2006 2 2 0 1 954 1052 955
2007 2 2 0 1 955 1052 1053
2008 2 2 0 1 955 1053 956
2009 2 2 0 1 956 1053 1054
2010 2 2 0 1 956 1054 957
2011 2 2 0 1 957 1054 1055
2012 2 2 0 1 957 1055 958
2013 2 2 0 1 958 1055 1056
2014 2 2 0 1 958 1056 959
2015 2 2 0 1 959 1056 1057
2016 2 2 0 1 959 1057 960
2017 2 2 0 1 960 1057 1058
2018 2 2 0 1 960 1058 961
2019 2 2 0 1 961 1058 1059
2020 2 2 0 1 961 1059 962
2021 2 2 0 1 962 1059 1060
2022 2 2 0 1 962 1060 963
2023 2 2 0 1 963 1060 1061
2024 2 2 0 1 963 1061 964
2025 2 2 0 1 964 1061 1062
2026 2 2 0 1 964 1062 965
2027 2 2 0 1 965 1062 1063
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2060 2 2 0 1 981 1079 982
2061 2 2 0 1 982 1079 1080
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2063 2 2 0 1 983 1080 1081
2064 2 2 0 1 983 1081 984
2065 2 2 0 1 984 1081 1082
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2067 2 2 0 1 985 1082 1083
2068 2 2 0 1 985 1083 986
2069 2 2 0 1 986 1083 1084
2070 2 2 0 1 986 1084 987
2071 2 2 0 1 987 1084 1085
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2073 2 2 0 1 988 1085 1086
2074 2 2 0 1 988 1086 989
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2076 2 2 0 1 989 1087 990
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2078 2 2 0 1 990 1088 991
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2080 2 2 0 1 991 1089 992
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2095 2 2 0 1 999 1096 1097
2096 2 2 0 1 999 1097 1000
2097 2 2 0 1 1000 1097 1098
2098 2 2 0 1 1000 1098 1001
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2100 2 2 0 1 1001 1099 1002
2101 2 2 0 1 1002 1099 1100
2102 2 2 0 1 1002 1100 1003
2103 2 2 0 1 1003 1100 1101
2104 2 2 0 1 1003 1101 1004
2105 2 2 0 1 1004 1101 1102
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2107 2 2 0 1 1005 1102 1103
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2110 2 2 0 1 1006 1104 1007
2111 2 2 0 1 1007 1104 1105
2112 2 2 0 1 1007 1105 1008
2113 2 2 0 1 1008 1105 1106
2114 2 2 0 1 1008 1106 1009
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2119 2 2 0 1 1011 1108 1109
2120 2 2 0 1 1011 1109 1012
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2122 2 2 0 1 1012 1110 1013
2123 2 2 0 1 1013 1110 1111
2124 2 2 0 1 1013 1111 1014
2125 2 2 0 1 1014 1111 1112
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2140 2 2 0 1 1021 1119 1022
2141 2 2 0 1 1022 1119 1120
2142 2 2 0 1 1022 1120 1023
2143 2 2 0 1 1023 1120 1121
2144 2 2 0 1 1023 1121 1024
2145 2 2 0 1 1024 1121 1122
2146 2 2 0 1 1122 1220 1025
2147 2 2 0 1 1025 1220 1123
2148 2 2 0 1 1025 1123 1026
2149 2 2 0 1 1026 1123 1124
2150 2 2 0 1 1026 1124 1027
2151 2 2 0 1 1027 1124 1125
2152 2 2 0 1 1027 1125 1028
2153 2 2 0 1 1028 1125 1126
2154 2 2 0 1 1028 1126 1029
2155 2 2 0 1 1029 1126 1127
2156 2 2 0 1 1029 1127 1030
2157 2 2 0 1 1030 1127 1128
2158 2 2 0 1 1030 1128 1031
2159 2 2 0 1 1031 1128 1129
2160 2 2 0 1 1031 1129 1032
2161 2 2 0 1 1032 1129 1130
2162 2 2 0 1 1032 1130 1033
2163 2 2 0 1 1033 1130 1131
2164 2 2 0 1 1033 1131 1034
2165 2 2 0 1 1034 1131 1132
2166 2 2 0 1 1034 1132 1035
2167 2 2 0 1 1035 1132 1133
2168 2 2 0 1 1035 1133 1036
2169 2 2 0 1 1036 1133 1134
2170 2 2 0 1 1036 1134 1037
2171 2 2 0 1 1037 1134 1135
2172 2 2 0 1 1037 1135 1038
2173 2 2 0 1 1038 1135 1136
2174 2 2 0 1 1038 1136 1039
2175 2 2 0 1 1039 1136 1137
2176 2 2 0 1 1039 1137 1040
2177 2 2 0 1 1040 1137 1138
2178 2 2 0 1 1040 1138 1041
2179 2 2 0 1 1041 1138 1139
2180 2 2 0 1 1041 1139 1042
2181 2 2 0 1 1042 1139 1140
2182 2 2 0 1 1042 1140 1043
2183 2 2 0 1 1043 1140 1141
2184 2 2 0 1 1043 1141 1044
2185 2 2 0 1 1044 1141 1142
2186 2 2 0 1 1044 1142 1045
2187 2 2 0 1 1045 1142 1143
2188 2 2 0 1 1045 1143 1046
2189 2 2 0 1 1046 1143 1144
2190 2 2 0 1 1046 1144 1047
2191 2 2 0 1 1047 1144 1145
2192 2 2 0 1 1047 1145 1048
2193 2 2 0 1 1048 1145 1146
2194 2 2 0 1 1048 1146 1049
2195 2 2 0 1 1049 1146 1147
2196 2 2 0 1 1049 1147 1050
2197 2 2 0 1 1050 1147 1148
2198 2 2 0 1 1050 1148 1051
2199 2 2 0 1 1051 1148 1149
2200 2 2 0 1 1051 1149 1052
2201 2 2 0 1 1052 1149 1150
2202 2 2 0 1 1052 1150 1053
2203 2 2 0 1 1053 1150 1151
2204 2 2 0 1 1053 1151 1054
2205 2 2 0 1 1054 1151 1152
2206 2 2 0 1 1054 1152 1055
2207 2 2 0 1 1055 1152 1153
2208 2 2 0 1 1055 1153 1056
2209 2 2 0 1 1056 1153 1154
2210 2 2 0 1 1056 1154 1057
2211 2 2 0 1 1057 1154 1155
2212 2 2 0 1 1057 1155 1058
2213 2 2 0 1 1058 1155 1156
2214 2 2 0 1 1058 1156 1059
2215 2 2 0 1 1059 1156 1157
2216 2 2 0 1 1059 1157 1060
2217 2 2 0 1 1060 1157 1158
2218 2 2 0 1 1060 1158 1061
2219 2 2 0 1 1061 1158 1159
2220 2 2 0 1 1061 1159 1062
2221 2 2 0 1 1062 1159 1160
2222 2 2 0 1 1062 1160 1063
2223 2 2 0 1 1063 1160 1161
2224 2 2 0 1 1063 1161 1064
2225 2 2 0 1 1064 1161 1162
2226 2 2 0 1 1064 1162 1065
2227 2 2 0 1 1065 1162 1163
2228 2 2 0 1 1065 1163 1066
2229 2 2 0 1 1066 1163 1164
2230 2 2 0 1 1066 1164 1067
2231 2 2 0 1 1067 1164 1165
2232 2 2 0 1 1067 1165 1068
2233 2 2 0 1 1068 1165 1166
2234 2 2 0 1 1068 1166 1069
2235 2 2 0 1 1069 1166 1167
2236 2 2 0 1 1069 1167 1070
2237 2 2 0 1 1070 1167 1168
2238 2 2 0 1 1070 1168 1071
2239 2 2 0 1 1071 1168 1169
2240 2 2 0 1 1071 1169 1072
2241 2 2 0 1 1072 1169 1170
2242 2 2 0 1 1072 1170 1073
2243 2 2 0 1 1073 1170 1171
2244 2 2 0 1 1073 1171 1074
2245 2 2 0 1 1074 1171 1172
2246 2 2 0 1 1074 1172 1075
2247 2 2 0 1 1075 1172 1173
2248 2 2 0 1 1075 1173 1076
2249 2 2 0 1 1076 1173 1174
2250 2 2 0 1 1076 1174 1077
2251 2 2 0 1 1077 1174 1175
2252 2 2 0 1 1077 1175 1078
2253 2 2 0 1 1078 1175 1176
2254 2 2 0 1 1078 1176 1079
2255 2 2 0 1 1079 1176 1177
2256 2 2 0 1 1079 1177 1080
2257 2 2 0 1 1080 1177 1178
2258 2 2 0 1 1080 1178 1081
2259 2 2 0 1 1081 1178 1179
2260 2 2 0 1 1081 1179 1082
2261 2 2 0 1 1082 1179 1180
2262 2 2 0 1 1082 1180 1083
2263 2 2 0 1 1083 1180 1181
2264 2 2 0 1 1083 1181 1084
2265 2 2 0 1 1084 1181 1182
2266 2 2 0 1 1084 1182 1085
2267 2 2 0 1 1085 1182 1183
2268 2 2 0 1 1085 1183 1086
2269 2 2 0 1 1086 1183 1184
2270 2 2 0 1 1086 1184 1087
2271 2 2 0 1 1087 1184 1185
2272 2 2 0 1 1087 1185 1088
2273 2 2 0 1 1088 1185 1186
2274 2 2 0 1 1088 1186 1089
2275 2 2 0 1 1089 1186 1187
2276 2 2 0 1 1089 1187 1090
2277 2 2 0 1 1090 1187 1188
2278 2 2 0 1 1090 1188 1091
2279 2 2 0 1 1091 1188 1189
2280 2 2 0 1 1091 1189 1092
2281 2 2 0 1 1092 1189 1190
2282 2 2 0 1 1092 1190 1093
2283 2 2 0 1 1093 1190 1191
2284 2 2 0 1 1093 1191 1094
2285 2 2 0 1 1094 1191 1192
2286 2 2 0 1 1094 1192 1095
2287 2 2 0 1 1095 1192 1193
2288 2 2 0 1 1095 1193 1096
2289 2 2 0 1 1096 1193 1194
2290 2 2 0 1 1096 1194 1097
2291 2 2 0 1 1097 1194 1195
2292 2 2 0 1 1097 1195 1098
2293 2 2 0 1 1098 1195 1196
2294 2 2 0 1 1098 1196 1099
2295 2 2 0 1 1099 1196 1197
2296 2 2 0 1 1099 1197 1100
2297 2 2 0 1 1100 1197 1198
2298 2 2 0 1 1100 1198 1101
2299 2 2 0 1 1101 1198 1199
2300 2 2 0 1 1101 1199 1102
2301 2 2 0 1 1102 1199 1200
2302 2 2 0 1 1102 1200 1103
2303 2 2 0 1 1103 1200 1201
2304 2 2 0 1 1103 1201 1104
2305 2 2 0 1 1104 1201 1202
2306 2 2 0 1 1104 1202 1105
2307 2 2 0 1 1105 1202 1203
2308 2 2 0 1 1105 1203 1106
2309 2 2 0 1 1106 1203 1204
2310 2 2 0 1 1106 1204 1107
2311 2 2 0 1 1107 1204 1205
2312 2 2 0 1 1107 1205 1108
2313 2 2 0 1 1108 1205 1206
2314 2 2 0 1 1108 1206 1109
2315 2 2 0 1 1109 1206 1207
2316 2 2 0 1 1109 1207 1110
2317 2 2 0 1 1110 1207 1208
2318 2 2 0 1 1110 1208 1111
2319 2 2 0 1 1111 1208 1209
2320 2 2 0 1 1111 1209 1112
2321 2 2 0 1 1112 1209 1210
2322 2 2 0 1 1112 1210 1113
2323 2 2 0 1 1113 1210 1211
2324 2 2 0 1 1113 1211 1114
2325 2 2 0 1 1114 1211 1212
2326 2 2 0 1 1114 1212 1115
2327 2 2 0 1 1115 1212 1213
2328 2 2 0 1 1115 1213 1116
2329 2 2 0 1 1116 1213 1214
2330 2 2 0 1 1116 1214 1117
2331 2 2 0 1 1117 1214 1215
2332 2 2 0 1 1117 1215 1118
2333 2 2 0 1 1118 1215 1216
2334 2 2 0 1 1118 1216 1119
2335 2 2 0 1 1119 1216 1217
2336 2 2 0 1 1119 1217 1120
2337 2 2 0 1 1120 1217 1218
2338 2 2 0 1 1120 1218 1121
2339 2 2 0 1 1121 1218 1219
2340 2 2 0 1 1121 1219 1122
2341 2 2 0 1 1122 1219 1220
2342 2 2 0 1 1188 1187 1189
2343 2 2 0 1 1240 1187 1186
2344 2 2 0 1 1187 1240 1189
2345 2 2 0 1 1272 1269 1264
2346 2 2 0 1 1144 1275 1277
2347 2 2 0 1 1221 1272 1264
2348 2 2 0 1 1157 1156 1155
2349 2 2 0 1 1278 1146 1277
2350 2 2 0 1 1277 1276 1280
2351 2 2 0 1 1275 1276 1277
2352 2 2 0 1 1221 1283 1272
2353 2 2 0 1 1283 1221 1233
2354 2 2 0 1 1245 1241 1233
2355 2 2 0 1 1224 1225 1163
2356 2 2 0 1 1225 1224 1223
2357 2 2 0 1 1224 1281 1223
2358 2 2 0 1 1223 1281 1280
2359 2 2 0 1 1281 1277 1280
2360 2 2 0 1 1281 1278 1277
2361 2 2 0 1 1229 1168 1228
2362 2 2 0 1 1153 1152 1222
2363 2 2 0 1 1224 1160 1222
2364 2 2 0 1 1255 1257 1256
2365 2 2 0 1 1252 1221 1264
2366 2 2 0 1 1257 1252 1264
2367 2 2 0 1 1221 1252 1233
2368 2 2 0 1 1220 1124 1123
2369 2 2 0 1 1124 1220 1219
2370 2 2 0 1 1262 1124 1219
2371 2 2 0 1 1262 1261 1263
2372 2 2 0 1 1262 1217 1216
2373 2 2 0 1 1145 1144 1277
2374 2 2 0 1 1146 1145 1277
2375 2 2 0 1 1147 1278 1148
2376 2 2 0 1 1147 1146 1278
2377 2 2 0 1 1273 1269 1272
2378 2 2 0 1 1274 1273 1275
2379 2 2 0 1 1276 1273 1272
2380 2 2 0 1 1273 1276 1275
2381 2 2 0 1 1143 1275 1144
2382 2 2 0 1 1143 1142 1275
2383 2 2 0 1 1274 1141 1140
2384 2 2 0 1 1141 1274 1275
2385 2 2 0 1 1142 1141 1275
2386 2 2 0 1 1265 1257 1264
2387 2 2 0 1 1269 1265 1264
2388 2 2 0 1 1270 1265 1269
2389 2 2 0 1 1179 1178 1237
2390 2 2 0 1 1180 1179 1237
2391 2 2 0 1 1185 1240 1186
2392 2 2 0 1 1185 1184 1240
2393 2 2 0 1 1181 1239 1182
2394 2 2 0 1 1181 1180 1237
2395 2 2 0 1 1239 1181 1237
2396 2 2 0 1 1239 1183 1182
2397 2 2 0 1 1184 1183 1240
2398 2 2 0 1 1183 1239 1240
2399 2 2 0 1 1178 1236 1237
2400 2 2 0 1 1235 1236 1232
2401 2 2 0 1 1241 1234 1233
2402 2 2 0 1 1234 1241 1235
2403 2 2 0 1 1234 1230 1233
2404 2 2 0 1 1230 1234 1232
2405 2 2 0 1 1234 1235 1232
2406 2 2 0 1 1240 1190 1189
2407 2 2 0 1 1175 1174 1232
2408 2 2 0 1 1225 1164 1163
2409 2 2 0 1 1166 1165 1228
2410 2 2 0 1 1165 1225 1228
2411 2 2 0 1 1165 1164 1225
2412 2 2 0 1 1167 1166 1228
2413 2 2 0 1 1168 1167 1228
2414 2 2 0 1 1169 1229 1170
2415 2 2 0 1 1229 1169 1168
2416 2 2 0 1 1231 1229 1230
2417 2 2 0 1 1231 1230 1232
2418 2 2 0 1 1227 1229 1228
2419 2 2 0 1 1229 1227 1230
2420 2 2 0 1 1225 1227 1228
2421 2 2 0 1 1227 1225 1223
2422 2 2 0 1 1157 1154 1222
2423 2 2 0 1 1154 1153 1222
2424 2 2 0 1 1154 1157 1155
2425 2 2 0 1 1281 1282 1278
2426 2 2 0 1 1282 1151 1150
2427 2 2 0 1 1282 1224 1222
2428 2 2 0 1 1282 1281 1224
2429 2 2 0 1 1151 1282 1152
2430 2 2 0 1 1152 1282 1222
2431 2 2 0 1 1158 1157 1222
2432 2 2 0 1 1162 1224 1163
2433 2 2 0 1 1255 1254 1257
2434 2 2 0 1 1218 1262 1219
2435 2 2 0 1 1262 1218 1217
2436 2 2 0 1 1273 1271 1269
2437 2 2 0 1 1271 1273 1274
2438 2 2 0 1 1271 1270 1269
2439 2 2 0 1 1270 1271 1136
2440 2 2 0 1 1139 1274 1140
2441 2 2 0 1 1139 1271 1274
2442 2 2 0 1 1271 1139 1138
2443 2 2 0 1 1127 1126 1263
2444 2 2 0 1 1126 1262 1263
2445 2 2 0 1 1124 1126 1125
2446 2 2 0 1 1262 1126 1124
2447 2 2 0 1 1129 1128 1263
2448 2 2 0 1 1128 1127 1263
2449 2 2 0 1 1260 1262 1216
2450 2 2 0 1 1262 1260 1261
2451 2 2 0 1 1266 1265 1270
2452 2 2 0 1 1177 1236 1178
2453 2 2 0 1 1176 1175 1232
2454 2 2 0 1 1236 1176 1232
2455 2 2 0 1 1177 1176 1236
2456 2 2 0 1 1191 1190 1240
2457 2 2 0 1 1191 1243 1192
2458 2 2 0 1 1243 1191 1240
2459 2 2 0 1 1239 1243 1240
2460 2 2 0 1 1242 1243 1239
2461 2 2 0 1 1238 1239 1237
2462 2 2 0 1 1238 1242 1239
2463 2 2 0 1 1242 1238 1241
2464 2 2 0 1 1241 1238 1235
2465 2 2 0 1 1236 1238 1237
2466 2 2 0 1 1238 1236 1235
2467 2 2 0 1 1171 1231 1172
2468 2 2 0 1 1229 1171 1170
2469 2 2 0 1 1231 1171 1229
2470 2 2 0 1 1231 1173 1172
2471 2 2 0 1 1174 1173 1232
2472 2 2 0 1 1173 1231 1232
2473 2 2 0 1 1276 1279 1280
2474 2 2 0 1 1279 1276 1272
2475 2 2 0 1 1283 1279 1272
2476 2 2 0 1 1227 1226 1230
2477 2 2 0 1 1230 1226 1233
2478 2 2 0 1 1226 1283 1233
2479 2 2 0 1 1226 1279 1283
2480 2 2 0 1 1279 1226 1280
2481 2 2 0 1 1226 1223 1280
2482 2 2 0 1 1226 1227 1223
2483 2 2 0 1 1149 1282 1150
2484 2 2 0 1 1278 1149 1148
2485 2 2 0 1 1282 1149 1278
2486 2 2 0 1 1160 1159 1222
2487 2 2 0 1 1159 1158 1222
2488 2 2 0 1 1161 1160 1224
2489 2 2 0 1 1162 1161 1224
2490 2 2 0 1 1208 1207 1255
2491 2 2 0 1 1248 1252 1257
2492 2 2 0 1 1254 1248 1257
2493 2 2 0 1 1252 1248 1233
2494 2 2 0 1 1271 1137 1136
2495 2 2 0 1 1137 1271 1138
2496 2 2 0 1 1135 1270 1136
2497 2 2 0 1 1135 1134 1270
2498 2 2 0 1 1215 1260 1216
2499 2 2 0 1 1211 1210 1256
2500 2 2 0 1 1211 1259 1212
2501 2 2 0 1 1259 1211 1256
2502 2 2 0 1 1260 1259 1261
2503 2 2 0 1 1212 1259 1213
2504 2 2 0 1 1267 1130 1129
2505 2 2 0 1 1267 1129 1263
2506 2 2 0 1 1261 1267 1263
2507 2 2 0 1 1266 1267 1261
2508 2 2 0 1 1200 1247 1201
2509 2 2 0 1 1200 1199 1247
2510 2 2 0 1 1247 1246 1245
2511 2 2 0 1 1199 1246 1247
2512 2 2 0 1 1245 1246 1241
2513 2 2 0 1 1246 1242 1241
2514 2 2 0 1 1207 1206 1255
2515 2 2 0 1 1210 1209 1256
2516 2 2 0 1 1209 1255 1256
2517 2 2 0 1 1209 1208 1255
2518 2 2 0 1 1249 1245 1233
2519 2 2 0 1 1248 1249 1233
2520 2 2 0 1 1249 1248 1254
2521 2 2 0 1 1215 1214 1260
2522 2 2 0 1 1259 1214 1213
2523 2 2 0 1 1214 1259 1260
2524 2 2 0 1 1257 1258 1256
2525 2 2 0 1 1258 1259 1256
2526 2 2 0 1 1259 1258 1261
2527 2 2 0 1 1265 1258 1257
2528 2 2 0 1 1258 1266 1261
2529 2 2 0 1 1266 1258 1265
2530 2 2 0 1 1267 1131 1130
2531 2 2 0 1 1268 1267 1266
2532 2 2 0 1 1268 1133 1132
2533 2 2 0 1 1131 1268 1132
2534 2 2 0 1 1268 1131 1267
2535 2 2 0 1 1268 1266 1270
2536 2 2 0 1 1133 1268 1134
2537 2 2 0 1 1134 1268 1270
2538 2 2 0 1 1243 1193 1192
2539 2 2 0 1 1244 1246 1196
2540 2 2 0 1 1246 1244 1242
2541 2 2 0 1 1244 1243 1242
2542 2 2 0 1 1193 1244 1194
2543 2 2 0 1 1244 1193 1243
2544 2 2 0 1 1198 1246 1199
2545 2 2 0 1 1253 1206 1205
2546 2 2 0 1 1206 1253 1255
2547 2 2 0 1 1253 1254 1255
2548 2 2 0 1 1253 1205 1204
2549 2 2 0 1 1253 1249 1254
2550 2 2 0 1 1195 1244 1196
2551 2 2 0 1 1244 1195 1194
2552 2 2 0 1 1246 1197 1196
2553 2 2 0 1 1198 1197 1246
2554 2 2 0 1 1251 1253 1204
2555 2 2 0 1 1251 1202 1201
2556 2 2 0 1 1247 1251 1201
2557 2 2 0 1 1203 1251 1204
2558 2 2 0 1 1251 1203 1202
2559 2 2 0 1 1253 1250 1249
2560 2 2 0 1 1251 1250 1253
2561 2 2 0 1 1250 1251 1247
2562 2 2 0 1 1250 1247 1245
2563 2 2 0 1 1249 1250 1245
2564 2 2 0 1 1220 1218 1219
2565 2 2 0 1 1218 1216 1123
2566 2 2 0 1 1218 1217 1216
2567 2 2 0 1 1218 1220 1123
-------------- next part --------------
Merge "budnitzki.msh";
Surface Loop(2) = {1};
Volume(3) = {2};