mouse position to isometric tile including height

Question

Struggeling translating the position of the mouse to the location of the tiles in my grid. When it\'s all flat, the math looks like this:

this.position.x = Math.         


        

Answer 1

One way to solve this would be to follow the ray that goes from the clicked pixel on the screen into the map. For that, just determine the camera position in relation to the map and the direction it is looking at:

 const camPos = {x: -5, y: -5, z: -5}
 const camDirection = { x: 1, y:1, z:1}

The next step is to get the touch Position in the 3D world. In this certain perspective that is quite simple:

 const touchPos = {
   x: camPos.x + touch.x / Math.sqrt(2),
   y: camPos.y - touch.x / Math.sqrt(2),
   z: camPos.z - touch.y / Math.sqrt(2)
 };

Now you just need to follow the ray into the layer (scale the directions so that they are smaller than one of your tiles dimensions):

 for(let delta = 0; delta < 100; delta++){
   const x = touchPos.x + camDirection.x * delta;
   const y = touchPos.y + camDirection.y * delta;
   const z = touchPos.z + camDirection.z * delta;

Now just take the tile at xz and check if y is smaller than its height;

 const absX = ~~( x / 24 );
 const absZ = ~~( z / 24 );

   if(tiles[absX][absZ].height >= y){
    // hanfle the over event
   }