Applying Mathematics to growing your own food

Good evening(?) all,

My name is Samuel & I am from the UK.

Here we have allotments in which you rent out a space to grow your own fresh vegetables & fruit.

Ever since realising how I can apply science & maths to real life applications (in this case growing my own grub) my interest in these subjects has shot up (I only wish this spark would have came at the time I was in school!).

So I wish to grow the most fresh food I can on my plot and I have a couple of ideas/queries which I would like some advice/thoughts on (related to maths of course!).

OK so the name of the game here is to utilise all the space on my plot (both horizontally & vertically) to grow as much as I can.

The first thing that interests me is the Fibonacci sequence - which I believe is a mathematical sequence of numbers in which relates somewhat to nature & how/where plants 'position' their leaves to get the maximum sun light as they can? Now imagine growing lettuce vertically (here each lettuce plant is equivalent to a plants leaf), putting soil within a pipe and drilling holes at positions which mimic the Fibonacci sequence. Then planting young lettuce plants from the bottom with the newest planted at the top. What I am trying to do here is mimicking nature and the rules of maths she plays by and grow as much lettuce as I can (out of reach of the slugs!) with each individual plant getting as much light as it can. What does everyone think, will it work?

Secondly, something that interested me was growing on large mounds (for ease of visualisation let say the mounds are semi-circular shaped) as opposed to a flat ground as growing this way creates more surface area for which to plant vegetables (how can one determine how much more surface area for growing is created?). I was just wondering, with regards to geometry, how can I construct soil containing structures of which have the largest surface area for growing edible crops?

Thank you for your replies,

Samuel :)

p.s sorry for the long post