Minecraft 3DS : no stronghold?

I started a game using this auto-generated seed : 2005819868.

In creative mode, I used eyes of ender to find where the stronghold might be.

The quest took me to the end of the map on the East. When I throw an eye at this point, the eye seems to continue after the limits of the map, as if the stronghold were outside the map's limits.

Is it possible for the stronghold to be unreachable outside the limits of the map? Can there be another stronghold elsewhere on the map? (I went back to the middle and tried looking for another one, but the eyes keep pointing to the same direction).

Is it possible for this world not to have a stronghold at all?

 

I tried again and went back to the opposite side of the map, went and threw around some eyes of ender, and I actually found a stronghold! It was under the well in a village, as it happens sometimes (I have seen that before in some youtube videos of Minecraft gameplays) so I was reassured.

@LH98 do you explore in Creative mode or Survival? Discovering the entirety of the map can be tedious because when you fly in the 3DS version, it really takes a while for the scenery to load and sometimes it will just crash the game... And the map is 4x4 squares big, so it's long until you see everything. But I think it's necessary if you want to find villages, temples, and find out about the map's various biomes and resources.
My latest strategy has been to take the seed I had initially used in Survival mode, but this time in Creative mode purely for exploration purposes. I would take a picture of the coordinates whenever I bumped into anything of interest.
Then I plan to go back to these places in Survival mode, and rampage all the good stuff!
I still have a lot to learn I imagine... as long it stays fun

 

It always seems to be a gamble to use automatically generated seeds to start a survival game : it's exciting because you don't know what you're going to find, but you may well have a world with not enough temples or villages. If you look around, you can find several posts or youtube videos about 3DS Minecraft seeds with good things like temples, there's one with a manor, some people have even written down the locations for diamonds!
I want to continue with my original seed because I spent quite some time on it, I found a couple of villages, and I haven't explored the Nether in Creative mode (but I found a Nether fortress in Survival) so there's still some things to look forward to!

 

This game is on version 1.9

I am also playing another game on version 1.7 as a 2-player game with my son and we did explore the end in creative mode, slew the dragon just for fun. That seed is interesting too, it's 2767451546; there is an igloo, villages in snow, a jungle temple
and I have already sniffed out a Nether fortress too!