GEOGRAPHY & CARTOGRAPHY CALCULATOR
Levelweb Mercator Tile
A precise tool.
What is the Levelweb Mercator Tile & How does it work?
The Web Mercator projection (EPSG:3857) is the de‑facto standard for online maps. It projects the Earth onto a cylinder that touches the globe at the equator, preserving angles and shapes locally while distorting area near the poles. This makes it ideal for interactive zoomable maps where visual consistency is crucial.
Map tiles are organized in a quadtree grid. At zoom level z, the world is divided into 2^z × 2^z square tiles, each typically 256 px on a side. The X coordinate runs from 0 (west) to 2^z‑1 (east) and the Y coordinate runs from 0 (north) to 2^z‑1 (south). Knowing a location’s latitude and longitude lets us compute the exact tile that contains it.
By applying the formulas above, developers can translate any geographic coordinate into the corresponding tile indices, enabling efficient fetching of raster or vector data from tile servers and supporting seamless panning and zooming experiences.
x_{tile}=leftlfloorfrac{text{lon}+180}{360}times 2^{z}rightrfloorquadquad y_{tile}=leftlfloorfrac{1-lnbigl(tan(text{lat}_{rad})+sec(text{lat}_{rad})bigr)/pi}{2}times 2^{z}rightrfloor
z = zoom level (integer)
lon = longitude in degrees
lat = latitude in degrees
lat_{rad} = latitude × pi/180
lon = longitude in degrees
lat = latitude in degrees
lat_{rad} = latitude × pi/180
Parameters
Result
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Frequently Asked Questions
What is the Web Mercator projection?
The Web Mercator projection (EPSG:3857) is a cylindrical map projection used for web maps, preserving angles and shapes locally but distorting areas near the poles.
How are tiles organized in the Web Mercator projection?
Tiles are organized in a quadtree grid. At zoom level z, the world is divided into 2^z × 2^z square tiles, each typically 256 pixels on a side.
What is the X coordinate range in Web Mercator?
The X coordinate runs from 0 (west) to 2^z * 256 at any zoom level z.
How do I calculate the tile coordinates for a specific location?
Use our calculator to input latitude and longitude, then select the desired zoom level to get the corresponding tile coordinates.
What is the purpose of the Web Mercator projection in online maps?
It is used for interactive, zoomable maps where visual consistency is crucial, as it preserves angles and shapes locally.
Why are there distortions near the poles in Web Mercator?
The projection stretches areas near the poles vertically to fit the entire globe onto a cylinder, causing area distortion but maintaining shape accuracy.
Can I use this calculator for offline map applications?
While designed for web maps, the principles and calculations can be adapted for offline mapping software that uses similar projections.
Results are for informational purposes only and do not constitute professional advice.