var div1 = document.createElement('DIV'); div1.innerHTML = '

The Porta Nigra - or another point - can be the center "m0" of a polar orientation system

'; kenn="GrandeRegion" var poleLat= ( 49 + 45 / 60 + 35 / 3600); var poleLon= ( 6 + 38 / 60 + 38 / 3600); var map = new GMap2(); var position_marker = null; var centro = new GLatLng(poleLat, poleLon); map.setCenter(centro, 11); var marker = new GMarker(centro); map.addOverlay(marker) showTabs(); var prefs = new _IG_Prefs(__MODULE_ID__); var message = document.getElementById("message"); GEvent.addListener(map, "click", showPosition); function resetCounter(){ prefs.set("zoomState = ", 0); map.clearOverlays(); zoom=12 drawGrid(); } function incrementZoom() { var zoomState = prefs.getInt("zoomState"); prefs.set("zoomState", zoomState + 1); map.clearOverlays(); zoom = 9 drawGrid(); } function drawGrid () { var cosR = Math.sin(poleLat*Math.atan(1) / 45)*Math.sin(poleLat * Math.atan(1) / 45) + Math.cos(poleLat*Math.atan(1) / 45)*Math.cos(poleLat * Math.atan(1) / 45) * Math.cos(( Math.atan(1) / 45)); map.setCenter(centro, zoom); var points = []; for (var k = 1; k < 3; k++) { if(zoom < 11.5) { var fator= 5 }//zoom/2.2 else {var fator=2} var Ry = fator * 0.009 * k var Rx = fator * k / (Math.round(10*(Math.atan(-cosR / Math.sqrt(-cosR * cosR + 1)) + 2 * Math.atan(1)) * 45 * 111.18/ Math.atan(1) )/10) ; for (var i = 0; i < 73; i++) { var winkel= 360/72*Math.PI*i/180; var WoLat = poleLat + Ry * Math.cos(winkel); var WoLon = poleLon + Rx * Math.sin(winkel); points.push(new GLatLng(WoLat ,WoLon )); } } // var k map.addOverlay(new GPolyline(points, "#ff0000", 2, 0.7)); var radioy = fator * 0.009*3 var radiox = fator *3 / (Math.round(10*(Math.atan(-cosR / Math.sqrt(-cosR * cosR + 1)) + 2 * Math.atan(1)) * 45 * 111.18/ Math.atan(1) )/10) ; var polyline = new GPolyline([ new GLatLng(poleLat + radioy, poleLon), new GLatLng(poleLat-radioy, poleLon) ], "#ff0000", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat + Math.sqrt(3)*radioy/2, poleLon + radiox/2), new GLatLng(poleLat - Math.sqrt(3)*radioy/2, poleLon - radiox/2) ], "#ff0000", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat + radioy/2, poleLon + radiox*0.866),new GLatLng(poleLat - radioy/2, poleLon - radiox*0.866) ], "#ff0000", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat , poleLon + radiox),new GLatLng(poleLat, poleLon-radiox)], "#ff0000", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy/2 , poleLon + radiox*.866),new GLatLng(poleLat+radioy/2 , poleLon - radiox*.866)], "#ff0000",1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy*.866 , poleLon + radiox*.5),new GLatLng(poleLat+radioy*.866 , poleLon - radiox*.5)], "#ff0000", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat+ .96*radioy, poleLon+radiox*.5/3),new GLatLng(poleLat + Math.sqrt(3)*radioy/2/3, poleLon + radiox/2/3) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat+ .92*radioy, poleLon+radiox/3),new GLatLng(poleLat + Math.sqrt(3)*radioy/3, poleLon + radiox/3) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat - .96 *radioy, poleLon-radiox*.5/3),new GLatLng(poleLat - Math.sqrt(3)*radioy/2/3, poleLon - radiox/2/3) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat - .92 *radioy, poleLon-radiox/3),new GLatLng(poleLat - Math.sqrt(3)*radioy/3, poleLon - radiox/3) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy/6, poleLon+radiox*.866/3),new GLatLng(poleLat-radioy/6 , poleLon + radiox*.96)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy/3, poleLon+radiox*.866*2/3),new GLatLng(poleLat-radioy/3 , poleLon + radiox*.92)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat+radioy/6, poleLon-radiox*.866/3),new GLatLng(poleLat+radioy/6 , poleLon - radiox*.96)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat+radioy/3, poleLon-radiox*.866*2/3),new GLatLng(poleLat+radioy/3 , poleLon - radiox*.92)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat+ radioy/6, poleLon+radiox*.866/3),new GLatLng(poleLat + .76 * radioy, poleLon + radiox * 0.64) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat+ radioy/3, poleLon+radiox*2*.866/3),new GLatLng(poleLat + .65 * radioy, poleLon + radiox*0.77) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat- radioy/6, poleLon-radiox*.866/3),new GLatLng(poleLat - .76 *radioy, poleLon - radiox*0.64) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([ new GLatLng(poleLat- radioy/3, poleLon-radiox*2*.866/3),new GLatLng(poleLat - .65 * radioy, poleLon - radiox*0.77) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat, poleLon+radiox/3),new GLatLng(poleLat + radioy*.35, poleLon + radiox*.92) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat, poleLon+ 2* radiox / 3),new GLatLng(poleLat + radioy*.17, poleLon + radiox*.97) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat, poleLon - radiox/3),new GLatLng(poleLat - radioy*.35, poleLon - radiox*.93) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat, poleLon - 2* radiox / 3),new GLatLng(poleLat - radioy*.17, poleLon - radiox*.97) ], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy*.866/3, poleLon + radiox/6),new GLatLng(poleLat-radioy*.64 , poleLon + .76* radiox)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy*2*.866/3, poleLon + radiox/3),new GLatLng(poleLat-radioy*.77 , poleLon + .65 * radiox)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat+radioy*.866/3, poleLon - radiox/6),new GLatLng(poleLat+radioy*.64 , poleLon - .76 * radiox )], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat+radioy*2*.866/3, poleLon - radiox/3),new GLatLng(poleLat+radioy*.77 , poleLon - .65 * radiox )], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy/3, poleLon),new GLatLng(poleLat-radioy*.93 , poleLon+radiox*.35)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat-radioy*2/3, poleLon),new GLatLng(poleLat-radioy*.97 , poleLon+radiox*.17)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat+radioy/3, poleLon),new GLatLng(poleLat+radioy * .93 , poleLon - radiox*.35)], "#0000ff", 1, 1); map.addOverlay(polyline); var polyline = new GPolyline([new GLatLng(poleLat+radioy*2/3, poleLon),new GLatLng(poleLat+radioy * .97 , poleLon - radiox*.17)], "#0000ff", 1, 1); map.addOverlay(polyline); var points = []; var i=0; points.push(new GLatLng(poleLat - radioy * .287, poleLon - radiox * .166)); i=1 ; points.push(new GLatLng(poleLat - radioy *.44, poleLon - radiox *.255)); i=2;points.push(new GLatLng(poleLat - radioy *.42, poleLon - radiox *.3)); i=3 ; points.push(new GLatLng(poleLat - radioy *.397, poleLon - radiox *.33)); i=4;points.push(new GLatLng(poleLat - radioy *.38, poleLon - radiox *.35)); i=5; points.push(new GLatLng(poleLat - radioy * .33, poleLon - radiox * .385)); i=6; points.push(new GLatLng(poleLat - radioy * .167, poleLon - radiox * .29)); i=7;points.push(new GLatLng(poleLat - radioy *.208, poleLon - radiox *.26)); i=8; points.push(new GLatLng(poleLat - radioy * .23, poleLon - radiox * .242)); i=9;points.push(new GLatLng(poleLat - radioy *.266, poleLon - radiox *.2)); points.push(points[0]); map.addOverlay(new GPolygon(points, "#ff0000", 0, 0.7, "#000fff", 0.2)); var tinyIcon = new GIcon(); if (zoom < 11.5) { tinyIcon.image = "http://www.volksnav.de/mapplet/r50.ico";} else { tinyIcon.image = "http://www.volksnav.de/mapplet/r20.ico";} tinyIcon.iconSize = new GSize(25, 25); tinyIcon.iconAnchor = new GPoint(10, 10); var winkelR= 15*Math.PI/180; var WoLatR = poleLat - Ry * Math.cos(winkelR)/2; var WoLonR = poleLon - Rx * Math.sin(winkelR)/2; var pontoR = new GLatLng(WoLatR,WoLonR); map.addOverlay(new GMarker(pontoR, {icon:tinyIcon})); if(zoom < 11.5) {tinyIcon.image = "http://www.volksnav.de/mapplet/M25.ico";} else {tinyIcon.image = "http://www.volksnav.de/mapplet/M10.ico";} tinyIcon.iconSize = new GSize(25, 25); tinyIcon.iconAnchor = new GPoint(10, 10); var WoLatM = poleLat - Ry /1.5; var WoLonM = poleLon - Rx /4; var pontoM = new GLatLng(WoLatM,WoLonM); map.addOverlay(new GMarker(pontoM, {icon:tinyIcon})); } // function drawGrid function showTabs(){ var div2 = document.createElement('DIV'); div2.innerHTML = '

Logical position codes for crossings, stations, bridges etc. like "StatusQuo(c) GrandeRegion m2:8 r22" base on this point

'; var div3 = document.createElement('DIV'); div3.innerHTML = '

"m12" is the direction from "m0" to north, "m3" to
east, etc. This divides the Grande Region into 12 "hour" sectors

'; var div4 = document.createElement('DIV'); div4.innerHTML = '

The m-sectors are divided in "distance-minutes".
"m4:7" is 7 x 100m "later" than "m4"

'; var div5 = document.createElement('DIV'); div5.innerHTML = '

The radius is the distance to "m0" in steps of
100m. "r13" means "13 x 100m from m0"

'; var tab1 = new GInfoWindowTab('pole', div1); var tab2 = new GInfoWindowTab('addresses', div2); var tab3 = new GInfoWindowTab('hour/sector', div3); var tab4 = new GInfoWindowTab('minutes', div4); var tab5 = new GInfoWindowTab('radius', div5); map.openInfoWindowTabs(centro, [tab1, tab2,tab3, tab4, tab5]) } function showPosition(marker, point) { if (typeof(point) == "undefined" || point == null) { return; } if (position_marker != null) { map.removeOverlay(position_marker); } position_marker = new GMarker(point); var cosR = Math.sin(poleLat*Math.atan(1) / 45)*Math.sin(poleLat * Math.atan(1) / 45) + Math.cos(poleLat*Math.atan(1) / 45)*Math.cos(poleLat * Math.atan(1) / 45) * Math.cos(( Math.atan(1) / 45)); var coordy = (point.lat().toString() - poleLat) * 1111.8; var coordx = (point.lng().toString() - poleLon) * Math.round(10*(Math.atan(-cosR / Math.sqrt(-cosR * cosR + 1)) + 2 * Math.atan(1)) * 45 * 1111.8/ Math.atan(1) )/10 ; var hipotenusa = Math.round( Math.sqrt(coordx * coordx + coordy * coordy) ); var verhaeltnis = Math.abs(coordy)/Math.abs(coordx); if (verhaeltnis>=1.73 && coordx>0 && coordy>0) { HH=12; HM=Math.round(coordx); } else if (verhaeltnis < .577 && coordx>0 && coordy>0) { HH=2; HM=Math.round( Math.abs(0.5 * coordx) - Math.abs(0.866 * coordy)); } else if (verhaeltnis<1.73 &&verhaeltnis>.577 && coordx>0 && coordy>0) { HH=1; HM=Math.round(Math.abs(0.866 * coordx) - Math.abs(0.5 * coordy)); } else if (verhaeltnis>=1.73 && coordx>0 && coordy<0) { HH=5; HM=Math.round(Math.abs(0.5 * coordy) - Math.abs(0.866 * coordx)); } else if (verhaeltnis<.577 && coordx>0 && coordy<0) { HH=3; HM=Math.round(Math.abs( coordy)); } else if (verhaeltnis<1.73 &&verhaeltnis>.577 && coordx>0 && coordy<0) { HH=4; HM=Math.round(Math.abs(0.866 * coordy) - Math.abs(0.5 * coordx)); } else if (verhaeltnis>=1.73 && coordx<0 && coordy<0) { HH=6; HM=Math.round(Math.abs(coordx)); } else if (verhaeltnis<.577 && coordx<0 && coordy<0) { HH=8; HM=Math.round(Math.abs(0.5 * coordx) - Math.abs(0.866 * coordy)); } else if (verhaeltnis<1.73 &&verhaeltnis>.577 && coordx<0 && coordy<0) { HH=7; HM=Math.round(Math.abs(0.866 * coordx) - Math.abs(0.5 * coordy)); } else if (verhaeltnis>=1.73 && coordx<0 && coordy>0) { HH=11; HM=Math.round(Math.abs(0.5 * coordy) - Math.abs(0.866 * coordx)); } else if (verhaeltnis<.577 && coordx<0 && coordy>0) { HH=9; HM=Math.round(Math.abs(coordy)); } else if (verhaeltnis<1.73 &&verhaeltnis>.577 && coordx<0 && coordy>0) { HH=10; HM=Math.round(Math.abs(0.866 * coordy) - Math.abs(0.5 * coordx)); } map.addOverlay(position_marker); // if ( hipotenusa<= 100) { if ( HM > 0 && HM >= hipotenusa/2 && HH<12) { HH=HH+1; var posmsg = "StatusQuo(c) " + kenn + " m"+ HH + " r" + hipotenusa + "
\n"; } else if ( (HM > 0 && HM >= hipotenusa/2) && (HH=12)) { HH=1; var posmsg = "StatusQuo(c) " + kenn + " m"+ HH + " r" + hipotenusa + "
\n"; } else if ( HM > 0 && HM < hipotenusa/2) { var posmsg = "StatusQuo(c) "+ kenn +" m" + HH + ":" + HM +" r" + hipotenusa + "
\n"; } else if ( HM<1 ){ var posmsg = "StatusQuo(c) " + kenn + " m"+ HH + " r" + hipotenusa + "
\n"; } // } // else if (hipotenusa >100) { posmsg += "Radius > 10km! With this simplified conversion, the
\n"; posmsg += "position codes won't harmonize with navigation devices" ; } map.openInfoWindowHtml(point, posmsg) } VolksNav.com/mapplet
Click anywhere on map to know the logical urban address of that point.

The Munich Orientation Convention quantifies positions in harmony with imagination power, cartography, navigation devices and codes for crossings, stations, bus stops, bridges etc. The index on map is at the same time an intelligent postal code on reality!

After some clicks on map on different zoom levels, click the buttons and see the first ZOOMABLE search grid. The grid also shows a very special quad with 2.5 x 2.5 (or 1 x 1) km on sector m7. Like parabolic antennas, its bended sides "point" to the urban pole.
Exercise:
1 - Simply using your imagination power, try to imagine the following route: m1 r40 to m5 r100.
2 - Quantify this direction acc. to the convention m12_egocentrical = from my body to north.
This mapplet converts lat/lon to StatusQuo(c) on a simplified mode, tolerable for radius < 10 km. For a professioal conversion, see VolksNav.com/mapplet.
Copyright 2009 VolksNav(c) Henrique Koehler ]]>