To count on the fingers up to the 1023's has been the mainstream for a long time. But this is not the limit. Today I will show you how to count up to 3600. All you need is the presence of all the fingers and the standard capacity of your five.
In addition, I suggest all thinkers and inventors to think about why this might be useful.
Immediately apologize for the quality of the pictures and hands. Used that arm caught.
Method
Take a close look at the photo:

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See the effects of the paint? They point to points that will denote specific numbers. It:
- the base of the finger;
- the joint between the first and second phalanx (let's call it upper)
- the joint between the second and third phalanx (let's call it lower)
- pad
- back of the upper joint
- back of the lower joint
And now, actually, let's start counting:

Yes, the thumb will be used as a pointer. If someone does not understand, in the photo we have a unit.

But four.

Well, this is the six.
The following after the little finger mean, of course, the following numbers.

Here, for example, the eight.
The most savvy have already understood that in such a way we can only count to 24, because we have only 4 of these sixes - from the little finger to the index finger. How to be after that?
And everything is simple: we bend the little finger, and begin the next iteration with the ring finger.

In this photo, for example, we have the number 25.
Now we have only 3 working fingers, and, accordingly, only 18 possible positions of the "pointer" - the thumb.
You can make a simple memo:
- all fingers open: numbers from 1 to 24;
- bent little finger: numbers from 25 to 42 (24 + 18);
- bent little finger and nameless: numbers from 43 to 54 (24 + 18 + 12);
- only the index left: numbers from 55 to 60 (24 + 18 + 12 + 6);
Here are some more photos to get you started:

46

49

59
Is done. You are gorgeous!

Oh, stop-stop. Although many have already guessed, but I have to say it. In general, in order to consider such a way up to 3600, we only need to connect the second hand. On it we consider in the same way, but only it will indicate higher discharges. We counted up to 60 - reset the counter, and increment the value of the second hand.
Thus, we have the opportunity to count to 3600. But who will do this?
As I said, in the comments I suggest to think about where this method of counting can be useful. Only wrist-guards come to my mind, but this input method is extremely inefficient and inconvenient.