You need to make the winding direction of the outer polygon opposite that of the inner polygon and add a point:
var worldCoords = [
new google.maps.LatLng(-85.1054596961173, -180),
new google.maps.LatLng(85.1054596961173, -180),
new google.maps.LatLng(85.1054596961173, 180),
new google.maps.LatLng(-85.1054596961173, 180),
new google.maps.LatLng(-85.1054596961173, 0)
];
working code snippet:
function initialize() {
var mapOptions = {
zoom: 1,
center: new google.maps.LatLng(24.886436490787712, -70.2685546875),
mapTypeId: google.maps.MapTypeId.TERRAIN
};
var map = new google.maps.Map(document.getElementById('map-canvas'),
mapOptions);
var worldCoords = [
new google.maps.LatLng(-85.1054596961173, -180),
new google.maps.LatLng(85.1054596961173, -180),
new google.maps.LatLng(85.1054596961173, 180),
new google.maps.LatLng(-85.1054596961173, 180),
new google.maps.LatLng(-85.1054596961173, 0)];
var EuropeCoords = [
new google.maps.LatLng(29.68224948021748, -23.676965750000022),
new google.maps.LatLng(29.68224948021748, 44.87772174999998),
new google.maps.LatLng(71.82725578445813, 44.87772174999998),
new google.maps.LatLng(71.82725578445813, -23.676965750000022)];
// Construct the polygon.
poly = new google.maps.Polygon({
paths: [worldCoords, EuropeCoords],
strokeColor: '#000000',
strokeOpacity: 0.8,
strokeWeight: 2,
fillColor: '#000000',
fillOpacity: 0.35
});
poly.setMap(map);
}
initialize();
<script src="http://maps.googleapis.com/maps/api/js?key=AIzaSyCkUOdZ5y7hMm0yrcCQoCvLwzdM6M8s5qk"></script>
<div id="map-canvas" style="width:500px;height:500px;"></div>