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# Zoom Levels and Tile Grid

Service version: 1
Last edit: 2020.08.05

## Purpose

TomTom Maps use the Spherical Mercator projection coordinate system (EPSG:3857).

## Zoom levels

The world is divided into square tiles.

• Maps Raster has 23 zoom levels, numbered `0` through `22`.
• Maps Vector has 23 zoom levels, numbered `0` through `22`.

At zoom level `0`, the entire world fits on a single tile:

Zoom level `1` uses 4 tiles to render the world: a 2 x 2 square.

Each subsequent zoom level quad divides the tiles of the previous one, creating a grid of 2zoom x 2zoom.

For example, zoom level `22` is a grid 222 x 222, or 4,194,304 x 4,194,304 tiles (result: 17,592,186,044,416 in total).

To discover the real-world size of a single tile on a given zoom level, we can use the formula circumference of earth / 2zoom level that produces number of meters per tile side, where the circumference of the earth equals `40,075,017` meters.

The full data table of values for zoom levels is here:

zoom level meters/pixel meters/tile side
`0` 156543 40075017
`1` 78271.5 20037508
`2` 39135.8 10018754
`3` 19567.88 5009377.1
`4` 9783.94 2504688.5
`5` 4891.97 1252344.3
`6` 2445.98 626172.1
`7` 1222.99 313086.1
`8` 611.5 156543
`9` 305.75 78271.5
`10` 152.87 39135.8
`11` 76.44 19567.9
`12` 38.219 9783.94
`13` 19.109 4891.97
`14` 9.555 2445.98
`15` 4.777 1222.99
`16` 2.3887 611.496
`17` 1.1943 305.748
`18` 0.5972 152.874
`19` 0.14929 76.437
`20` 0.14929 38.2185
`21` 0.074646 19.10926
`22` 0.037323 9.55463

## Tile grid

Tiles are called by zoom level and the `x` and `y` coordinates corresponding to the tile's position on the grid for that zoom level.

When determining which zoom level to use, remember that each location is in a fixed position on its tile.

• This means that the number of tiles needed to display a given expanse of territory is dependent on the specific placement of zoom grid on the world.
• For instance, if there are two points 900 meters apart, it may only take three tiles to display a route between them at zoom level `17`.

However, if the western point is on the right side of its tile, and the eastern point on its left side, it may take four tiles as shown in the following diagram:

Once the zoom level is determined, the `x` and `y` coordinate values can be calculated:

• The top-left tile in each zoom grid is `x=0, y=0`.
• The bottom-right tile is at `x=2zoom-1, y=2zoom-1`.

Here is the zoom grid for zoom level `1`: