Hi Ole:
I wanted to better understand the basis for your additional computations to "rotate" the polygon data derived as LOD13 quads from what I assume was ESRI SHP file input data imported to Rhino, so I revisited the the Danish Areal Information System (aka "AIS") website.
From what I can see on the AIS
download page, the data is indeed available as
ESRI SHP files.
http://www2.dmu.dk/1_viden/2_miljoe-tilstand/3_samfund/ais/4_Download/download_en.htm
"
The Danish Areal Information System
Downloading of AIS data:
You may now download all data from the Areal Information System!
* Areal Information System data in ESRI Shape format.
* Areal Information System data in MapInfo format.
* Test data for you who wish to explore a limited section of the various themes."
Following the link on that page for:
"
Test data for you who wish to explore a limited section of the various themes:
http://www2.dmu.dk/1_viden/2_miljoe-tilstand/3_samfund/ais/4_Download/TESTdownload/testdata_en.htm
The linked page states:
"
From the table below you may download test data from the Areal Information System:
The test data includes an area at Horsens Fjord."
< GoogleEarth "jump to" coordinates:
55°51 N, 10°0 E >
Clicking the link for
Land Use Map - ESRI Shape, I downloaded "
AAK_5_6.zip"
I noted this geo-reference info at:
http://toolserver.org/~geohack/geoh..._E_region:DK_type:waterbody_source:GNS-enwiki
Then, I opened the "
aak_5_6.shp" shape file enclosed in
AAK_5_6.zip in my
Global Mapper GIS application "Overlay Control Center", corrected the UTM Zone Projection type to Zone 32"U" ...which shows this Metadata:
Metadata Tab:
FILENAME=[my download path]\AAK_5_6\aak_5_6.shp
DESCRIPTION=aak_5_6.shp <[my download path]\AAK_5_6\aak_5_6.shp>
FILENAME=R:\Downloads\AAK_5_6\aak_5_6.shp
DESCRIPTION=aak_5_6.shp <R:\Downloads\AAK_5_6\aak_5_6.shp>
AREA COUNT=7884
AREA VERTEX COUNT=296874
LINE COUNT=0
POINT COUNT=0
UPPER LEFT X=549999.622
UPPER LEFT Y=6200000.000
LOWER RIGHT X=575000.000
LOWER RIGHT Y=6174999.732
WEST LONGITUDE=9.79591654° E
NORTH LATITUDE=55.94277486° N
EAST LONGITUDE=10.20070183° E
SOUTH LATITUDE=55.71494173° N
PROJ_DESC=UTM Zone 32 / NAD83 / meters
PROJ_DATUM=NAD83
PROJ_UNITS=meters
COVERED AREA=625016255 sq m
Projection Tab / Projection *.PRJ file info:
Projection UTM
Datum NAD83
Zunits NO
Units METERS
Zone 32 (6° E - 12° E - Northern Hemisphere)
<--- CORRECTED (
after Global Mapper default Zone was already applied on import)

Xshift 0.000000
Yshift 0.000000
Projection Tab 'Parameters':
CENTRAL MERIDIAN SCALE FACTOR 0.999600000
CENTRAL MERIDIAN 9.00000000
ORIGIN LATITUDE 0.00000000
FALSE EASTING (m) 500000
FALSE NORTHING (m) 0
This confirmed that the AIS distributed data files are formatted in:
* ESRI Shape (aka "
SHP") data format (standard X-Y type)
* UTM Zone 32 "U"
Projection
* NAD83
Datum
http://en.wikipedia.org/wiki/North_American_Datum
NOTE: By default my Global Mapper configuration opens AIS distributed data using a "
North American Datum" to format data for Denmark
CORRECTION: An over-ride of my Global Mapper default Datum assignment from UTM / NAD83 to UTM / WGS84 yields this Metadata:
Metadata Tab:
FILENAME=[my download path]\AAK_5_6\aak_5_6.shp
DESCRIPTION=aak_5_6.shp <[my download path]\AAK_5_6\aak_5_6.shp>AREA COUNT=7884
AREA VERTEX COUNT=296874
LINE COUNT=0
POINT COUNT=0
UPPER LEFT X=549999.622
UPPER LEFT Y=6200000.000
LOWER RIGHT X=575000.000
LOWER RIGHT Y=6174999.732
WEST LONGITUDE=9.79591654° E
NORTH LATITUDE=55.94277486° N
EAST LONGITUDE=10.20070183° E
SOUTH LATITUDE=55.71494173° N
PROJ_DESC=UTM Zone 32 / WGS84 / meters
PROJ_DATUM=WGS84
<--- CORRECTED
PROJ_UNITS=meters
EPSG_CODE=32632 <-- UPDATED (after WGS84 over-ride of my Global Mapper default Datum assignment)
COVERED AREA=625016255 sq m
Projection Tab / Projection *.PRJ file info:
Projection UTM
Datum WGS84
<--- CORRECTED
Zunits NO
Units METERS
Zone 32 (6° E - 12° E - Northern Hemisphere)
Xshift 0.000000
Yshift 0.000000
Projection Tab 'Parameters':
CENTRAL MERIDIAN SCALE FACTOR 0.999600000
CENTRAL MERIDIAN 9.00000000
ORIGIN LATITUDE 0.00000000
FALSE EASTING (m) 500000
FALSE NORTHING (m) 0
This confirmed that the AIS distributed data files are formatted in:
* ESRI Shape (aka "
SHP") data format (standard X-Y type)
* UTM Zone 32 "U"
Projection
* WGS84
Datum <--- CORRECTED
Regardless, AFAIK, this data format must still be re-projected to Geographic Lon-Lat Projection, WGS84 (aka "EPSG 4326") Datum ...
prior to use in creating scenery content / placement instructions FS in order to "fit" the overall FS world model.
FYI: This can be done via a GIS application or by other methods as discussed in:
"
OGP Publication 373-7-2 – Geomatics Guidance Note number 7, part 2 – July 2011", alternatively titled:
"
Coordinate Conversions and Transformations including Formulas - Revised - July 2011"
http://www.epsg.org/guides/docs/g7-2.pdf
...or one may follow procedures described by MS Game Studios / ACES author Adam Szofran in his "Global Terrain" treatise on FSX terrain development:
http://www.microsoft.com/Products/Games/FSInsider/developers/Pages/GlobalTerrain.aspx
BTW: In an interesting and perhaps topically related document:
http://140.194.76.129/publications/eng-manuals/em1110-1-1003/basdoc.pdf
"
NAVSTAR Global Positioning System Surveying ENGINEER MANUAL"
Section 1-9. Metrics and Accuracy Definitions states:
"
GPS-derived geographical or metric Cartesian coordinates are generally transformed to English units of measurements for use in local project reference and design systems, such as State Plane Coordinate System (SPCS) grids."
Section 3-2. Geodetic Coordinate Systems states:
"
The absolute positions obtained directly from GPS pseudorange measurements are based on the 3-D, earth-centered WGS 84 ellipsoid (Figure 3-1). Coordinate outputs are on a Cartesian system (X-Y-Z) relative to an Earth-Centered Earth-Fixed (ECEF) rectangular coordinate system having the same origin as the WGS 84 ellipsoid, i.e. geocentric. This geocentric X-Y-Z coordinate system should not be confused with the X-Y plane coordinates established on local grids; local systems usually have entirely different definitions, origins, and orientations which require certain transformations to be performed.
WGS 84 geocentric X-Y-Z Cartesian coordinates can easily be converted into WGS 84 ellipsoid coordinates (i.e. f, l, and h--geodetic latitude, longitude, and ellipsoidal height, respectively). GPS baseline distances are computed on the geocentric coordinate system, not ellipsoidal coordinates. It is critical to note that the WGS 84 ellipsoidal height (h) is not the orthometric elevation used for civil works projects. Performing these transformations (also known as "site calibrations") from WGS 84 to local reference systems is a critical, and sometimes complicated, part of GPS surveying."
PS: I am unfamiliar with the GIS file format output options that Rhino offers, but as an alternative suggestion, if Rhino offered KML/KMZ export, that post-processed file could be re-projected via a GIS application or other method to achieve a Geographic Lon-Lat Projection, WGS84 (aka "EPSG 4326") Datum ...prior to further processing for use in FS scenery development to ensure a proper "fit" with the overall FS world model.
Hope these ideas might prove to be worthy of consideration in your further development !
GaryGB