The fullscreen button lets a visitor blow your map up to fill their entire screen. It's an option you turn on, and it makes a real difference for maps embedded in a small box on a page.
Turn it on
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Open the Settings tab
Edit the map and go to the Settings tab.
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Turn on Fullscreen button
Under General, tick Fullscreen button ("Show a button that expands the map to fullscreen"). A fullscreen icon then appears among the on-map controls.
When it helps most
If people mainly reach your map embedded in your own website, it often sits in a fairly small frame. The fullscreen button gives them a one-tap way to see the whole thing properly, which matters most on phones where an embedded map is otherwise tiny. For a standalone map that already fills the page, it's less essential.
What visitors do with it
For how the button behaves from the visitor's side, including how to leave fullscreen again, see View a map in fullscreen.