Picture posting is enabled for all :)
There's no statutory limit, though the allotment authority has the power under S.28 Small Holdings and Allotments Acts 1908 to makes rules about how big the plots can be and how many can be let to who.If your plot is bigger than 40 poles it's not an allotment garden as such and so you lose some statutory protections and limitations under the acts, but that's probably not the case if you're seperately renting several smaller plots.
How would you have time and energy to look after several plots??? One is already hard work! ???
I had two full plots , ie proper 17 pole ones, :P but 34 poles is a lot of land............ expect within a couple of years Apple will be selling iPlots...........