Gear train question

[jelockwood]

I am hoping someone can help with the following query.

I am looking for a design to achieve a 1:12 gear ratio in lego. I can see the following ways to achieve this.

1. A worm gear hooked up to a 12 tooth gear, 12 rotations of the worm tooth results in 1 rotations of the gear. Unfortunately as the worm gear works asymmetrically it can only do 12:1 not 1:12 as I need
2. A gear train made of a 24 tooth gear linked to an 8 tooth gear, then the axle of the 8 tooth gear has a 24 tooth gear linked to a 12 tooth gear and then the axle of the 12 tooth gear has another 24 tooth gear linked  to a 12 tooth gear. This would then overall be 1:3 x 1:2 x 1:2 totalling 1:12
3. The same as above could also be achieved with a gear train made of a 24 tooth gear linked to an 8 tooth gear, then the axle of the 8 tooth gear has a 16 tooth gear linked to a 8 tooth gear and then the axle of the 8 tooth gear has another 16 tooth gear linked  to a 8 tooth gear. Again this results in 1:3 x 1:2 x 1:2 and a total of 1:12
4. Or a mixture of 2 and 3 as in a gear train made of a 24 tooth gear linked to an 8 tooth gear, then the axle of the 8 tooth gear has a 16 tooth gear linked to a 8 tooth gear and then the axle of the 8 tooth gear has another 24 tooth gear linked  to a 12 tooth gear. This would then overall be 1:3 x 1:2 x 1:2 totalling 1:12

Note: For the above the order of the gears would make no difference to the total ratio.

My issue is therefore not what gears are required unless someone has a more efficient choice than those above, but how to construct this in the most compact possible way and this might dictate the physical size of the gears but not the ratios.

The gears would have the axles running vertically and hence the gears would be lying flat i.e. horizontally. I need the total height of the assembly to be as low as possible.

Thanks for any suggestions.

[jelockwood]

I think I have now managed to solve this myself. I ended up having to use a technic brick on its side with an additional two stud technic brick clipped to it to allow gears to mesh diagonally. I had originally been trying to do it using just a technic beam in a straight line.

I now have the equivalent of option 4 from my list and the entire gear train is 3 studs in height and fits where I need it.