For further reading on the Geneva drive... don't miss the spherical Geneva drive design, illustrated in figure 9-3:
Although not Geneva drive related, if you want to combine your passion of horology with human spaceflight, you will truly enjoy "John Glenn's Heuer":
Also, thank you all for the great, related links!
Perhaps you could make a nano (well, micro) scale peristaltic pump out of a really small geneva linkage. Or gears for a little robot that floats in your bloodstream or something like that.
Driven by the Geneva, the feed rollers would move the cards the width of one of their 12 rows, then stop. On the read side, that row was under a gang of 80 little bronze wire brushes. On the punch side, the row was over a gang of 80 sharp little steel punches. When the cards stopped a pulse of current went through the brushes. If there was a hole in the card on the read side, current flowed on to one of 80 little solenoids. The solenoid would yank a bell-crank that pushed a punch through the blank card.
The punches withdrew, the Geneva swung its next lobe, and the cards advanced to the next row. Twelve rows per card, 100 c/m. It was quite noisy despite heavy sound insulation on the insides of the covers, a distinct brrruup, brrruup, brrruup overlaid with a general mechanical roar.
Bless the 50's... from a time where education videos actually tried to educate.
Well... that'll teach me I'm not on reddit; attention must be paid!
From the perspective of a mechanical watch, there is a component known as the mainspring. It is a spring that stores energy from either manual winding or automatic winding.
With manual winding, turning the watch's crown to wind the mainspring is an intermittent, rotary motion. Alternatively, with automatic winding, a rotary weight that moves intermittently (e.g., when the wearer's arm is moved) is used to wind the mainspring.
In either winding scenario, manual or automatic, the result is that intermittent, rotary motion causes energy to be stored in the mainspring, which is then subsequently available to provide for continuous rotation of the watch's mechanics.
I caught myself thinking along the lines of "of course it's not possible, that would be preposterous!", but as you say, a watch spring mechanism does exactly this.
The key concept here is "stores energy".
If you're ever bored, look at what four bar linkages can do. Stereotypical mech eng topic where its shocking just how many different things four chunks of metal and some bearings can achieve. A really poor analogy would be its kind of the turing machine of the mech eng world in that it can seemingly do almost anything with a minimal amount of parts.
There is an interesting scaling effect where the math for linkages scales pretty scarily as the number of bars increases.
(edited to add, and you can see an applied model in some stair stepper exercise machines where the arm actually moves thru an arc, which I guess is the intermittent rotary motion you're looking for?)
I would like to transfer the movement from the red wheel into the smooth continuous rotary movement of the green wheel.
These are fascinating to watch:
The Geneva Movement is here:
And, I just realised I'm not so young anymore...
If anyone knows reference or current research about their mathematical side I'd be glad to read it.
I have no connection other than owning some of the plans and very slowly in the process of building one of the simplest clocks, one with a classic Verge escapement. I wanted specifically to build a retro Verge escapement and I don't know enough to advise if that's the best choice for a noob, unless you've also got a bug to build a Verge...
If you're willing to spend a ridiculous amount of money (like $1 per page!) "My own right time" by Philip Woodward could be a reasonable book to start. Borrow it at the library or interlibrary loan. One thing I learned from the book is the spouses of time nuts are apparently at least as tolerant as the spouses of ham radio and computer nuts (which is saying a heck of a lot).
This is an area where I know enough, to know I only know enough to be dangerous, so if anyone has better information they should respond.
(Edited to add I would consider clockmaking to be a separate craft from metal machining or wood butchering or 3d printing and would not advise trying to learn both at the same time, unless you're very patient. I think learning fine woodworking and clockmaking at the same time would be highly challenging. Or machining and clockmaking, etc.)