Tips for visualising Knight moves

Sorry, didn't finish post! ..... So that I can get quicker and more accurate and spotting and dealing with dangerous Knight moves. I hope that any tips, tricks, ways of remembering will help with my knights too. Thanks so much chess.com dudes.

Knights always move to the nearest non-adjacent square of the opposite color.

In other words, a Knight on a light square always moves to a dark square, and vice versa.

You could try something like the knight obstacle courses described here:

https://www.danheisman.com/chess-exercises.html

I kind of visualise it as an 8 pointed star around the knight. When I look at a knight now, those squares seem to jump out like they're highlighted. 

Great suggestions all. Thank you. In particular, Landloch, thanks for the links to the Knight obstacle courses. Excellent. That's going to really help me.

Idea:  know about the types of knight forks.
There's actually only six types.
Whatever knight fork you ever see - (or don't see) - its one of those six.
When people are first shown knight moves - it looks like a clock face - with eight - not six - but that doesn't help much ...
because the Knight is much more Lethal when its Forking than just moving !
I coined terms for these forks decades ago - my own names for them.
In order of distance apart of the targets:

1) The mini fork - two diagonally adjacent squares with target pieces on them- the most common and the easiest to spot. 
Like N on c3 forking d5 and e4 for example.
2) The straight fork - two targets on a rank or file with a square between them.  Example:  a white knight at b6 forks two black rooks at a8 and c8.
3) The angle fork.  Much much harder to spot.  Like a black knight at f6 forks d5 and g4.  The lines to the targets form a 90 degree angle.
4)  The longer diagonal fork.  The targets on the same diagonal like N on e4 forks c3 and f6.  Two diagonal squares between them.
5)  The Long Table fork.  Hits two far apart squares on the same rank or file.  Example:  N on d6 forks a Queen at b7 and a King at f7.  (which is also a Royal Fork in that case)
6)  The Maxi.  Targets the furthest possible apart.  That N on d6 forks Q at b5 instead of b7 - and K on f7.  Always only one square to do that one from. (unlike the others)  Only the angle fork is harder to spot.  (#3 and #6 do Not line up).

From this point on - every knight fork that you could ever see - you know its got to be one of those six.
But - there's also the 'triple knight fork'.  Comes up now and then.
'Quadruple' knight fork ?  I can't recall an instance of it in my games.
I'm sure it occurs. 
In a players entire chess lifetime - well could it have the frequency of an eclipse?
Has there ever been an 8-way knight fork in GM tournament play?
Jim Furyk once shot a 58 in PGA golf !  In 2016.

Playerafar. This is so brilliant. Thank you so much.

octopus

I liked these knight mazes in the link. Good web page.

You're welcome @DGerardP -
Regarding other kinds of 'knight analysis' I've done or looked at besides that in post #8 ...
there's something called the 'knight's tour' - (ways for the knight to visit every single square on the board with minimal moves)
but unlike the forks in post #8 - is the 'tour' going to come up in games?

There's also the N+B versus lone King endgame - which might never come up even once in a player's lifetime chessplaying.

There's also a breakdown of all the types of knight moves ...
but again its not directly useful because there's too many types ! 
(unlike with the forks)
I formulated a breakdown of all possible knight moves decades ago.
There's 336 possible two-way knight-moves on the board ...
but they're in 21 groups of 16 each ('rotations and reflections' of each other)
Too many categories to be useful .... but just to sum that one up ---
Ten of the categories of knight move - are completely in the interior of the board.  (total: 160 possible 2way moves)
But - Remarkably !!  Exactly the Same Number of knight moves - involve one edge of the board !   Again - exactly 160 possible 2way knight moves in ten categories !
Now - astute readers may notice that 160 + 160 does not add up to 336 !  
The other 16 knight moves on the board are 2way edge to edge knight moves  ...
the 21st and final category !
Trivial ?  Yes.  Point:  all knight moves now accounted for !
Why did I bother ? (several decades ago)
Because knight moves are the trickiest moves !  Its the trickiest piece !!
I wanted to 'get a handle' on it !  

Back to the directly 'useful' knight stuff for chess games purposes ...
Knight mates.
Kings are very vulnerable to knight checks and forks and mates.
Why?  First the obvious - knight checks can't be blocked. 
Second - the checked King can't take the knight.  Its a distant check.  
So - the King must flee - unless one of its force can take that knight.
And taking that knight is also not available if its knight discovered double check.  King must pack its bags and travel - if it can !  

Finally - there's knight 'underpromotion'.  Does that come up much in chessplaying ?  Yes - and in good play too.  Not a big percentage of the time but it does come up.  Either to avoid stalemating - or to promote with check to get a tempo (the most common)   -  or to fork - or even to get out of trouble.
Good underpromotions are often counter-intuitive - but there's a lot of that in improving/improved chess.
Going against intuition.  'Unlearning' to go with 'intuition'. 


There's other 'knight stuff'.
Like knight triple fork.  It does come up in games.
The point is that when the threat of triple knight fork is seen -
even if you move one of the pieces out of the threat - 
the other two are still getting forked  !    

I can't recall an instance of 'quadruple knight fork' in my games.
It probably comes up very often that two pieces are knight forked plus a couple of pawns - but usually wouldn't make a difference.
How about - was there ever an 8-way knight fork in GM tournament chess?
I don't know. 
Maybe that would be like Jim Furyk shooting a 58 in PGA golf in 2016 !