Usage of Apple Thunderbolt display with mac mini A6

Are you asking about using that Thunderbolt 2 Display with an Apple M6 Mac mini or a GEEKOM A6 Mini PC.....?

You'll need a Thunderbolt 3-to-2 adapter to connect that Thunderbolt 2 Display to a new Apple M6 Mac mini.

see > Thunderbolt 3 (USB-C) to Thunderbolt 2 Adapter - Apple

and > Connect displays to your Mac mini - Apple Support

ThomasHue wrote:

with a mac mini A6

Do you mean M6? The A-series chips are mainly meant for iPhones and iPads.

Apple made two 27" displays that people sometimes mix up. Both have hydra cables where the video "head' uses a Mini DisplayPort connector.

They require different kinds of signals.

• The Apple Thunderbolt Display has a hydra cable with two heads: Thunderbolt (Mini DisplayPort connector) and MagSafe. It requires Thunderbolt input. So it will work with an Apple Thunderbolt 3-to-2 adapter, but not with a USB-C to Mini DisplayPort one.
• LED Cinema Display (27-inch) has a hydra cable with three heads: Mini DIsplayPort, USB-A, and MagSafe. This display requires DisplayPort input. So it will work with a USB-C to Mini DisplayPort adapter but won't work if you plug it directly into an Apple Thunderbolt 3-to-2 adapter. (You may also need to connect the USB hydra head.)