Zoom Levels and Tile Grid

Service version: 1
Last edit: 2020.08.05

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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 2^zoom x 2^zoom.

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 / 2^{zoom 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

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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:

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