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Einstein's Raised Beds

grow flowers that solve equations
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Shrubs and flowers grow and flourish at different rates and it's this property that is taken advantage of in the idea named Einstein's Raised Beds.

The idea is simple: to plant a range of flowers that display some well known mathematical equations that take the form of strong graphic numeral and letter shapes.

During the yearly season's cycle, the solution to the equations gradually emerges as brightly coloured late season flowers and leaves.

xenzag, Apr 29 2021

Magical_20latent_20image_20fruit_20knife [hippo, Apr 29 2021]

Latent_20etiolation_20messages [hippo, Apr 29 2021]

Eerily_20prescient_20fortune_20cookies [hippo, Apr 29 2021]

https://en.wikipedi...iki/Forest_swastika [pocmloc, Apr 29 2021]

Graph Edge Colouring https://en.m.wikipe.../wiki/Edge_coloring
[xenzag, Apr 29 2021]

Graph Edge Coloring: Vizing's Theorem and Goldberg's Conjecture https://www.wiley.c...ure-p-9781118305706
[a1, Apr 29 2021]

using genes to do logic: Gene Logic https://science.sci...ontent/340/6132/599
We realized permanent amplifying AND, NAND, OR, XOR, NOR, and XNOR gates actuated across common control signal ranges and sequential logic supporting autonomous cell-cell communication of DNA encoding distinct logic-gate states. The single-layer digital logic architecture developed here enables engineering of amplifying logic gates to control transcription rates within and across diverse organisms. [beanangel, Apr 29 2021]

Slime Moulds https://www.discove...eplica-tokyo-subway
[xenzag, Apr 30 2021]

Ants https://en.wikipedi...iki/Hex_(Discworld)
with cheese [a1, Apr 30 2021]

[link]






       Is this basically a floral graphic which cross-fades from the equation to the solution, over a period of some months?
pertinax, Apr 29 2021
  

       I think so - it would be a lovely way to reveal the solution if you'd just solved some historic, famous problem in mathematics
hippo, Apr 29 2021
  

       //Is this basically a floral graphic....? // Yes it is.
xenzag, Apr 29 2021
  

       I really like this - it's practical, wouldn't be that hard to implement, and has a pleasing surprise factor. Thinking about it, I realised that I keep posting 'hidden message' ideas (see links) which probably explains why I like it.

If you were a disgruntled gardener, it would be pretty easy to plant seeds spelling out offensive insults to your employer and then resign, knowing that the insults would appear some months later.
hippo, Apr 29 2021
  

       I was hoping that the planting would demonstrate the equations more viscerally, for example by growing at certian rates so the ratios between adjecant plants would be... um...
pocmloc, Apr 29 2021
  

       Well, when you do your plantings, you can create whatever equations you want. Have a go at Goldberg's Conjecture.
xenzag, Apr 29 2021
  

       You're gonna need a bigger garden.
a1, Apr 29 2021
  

       Possibly not if you use Graph Edge Colouring to solve (see link)
xenzag, Apr 29 2021
  

       That's a beautiful thing, but I was thinking more about proving Goldberg's Conjecture. As an unsolved problem, your proof may ultimately fit in a very small allotment - but getting to that point might cover a lot ground.   

       (edit to add - I do see it already has some consideration <link>)
a1, Apr 29 2021
  

       If your garden was nearly infinitely big, it should be possible to turn the planting in a garden into a Turing machine. Then you could use your garden to compute any computable problem, which would be cool
hippo, Apr 29 2021
  

       well it sounds very nice, but what flowers would you use that could display a mathematical equation? I’m not exactly sure how that would show up…
xandram, Apr 29 2021
  

       It doesn't matter what flowers you use, as long as they are planted in a shape that only becomes recognisable when they bloom.
xenzag, Apr 29 2021
  

       I see, just a pattern made of flowers, not the flower itself. You had me wondering if the flower would show the equation somehow.
xandram, Apr 29 2021
  

       What about getting plants to actually solve equations? As a slow computer, but one that doesn't require working with silicon at nano-scales. The interface may be a little complicated to figure out.
neutrinos_shadow, Apr 30 2021
  

       Yeah, I was rather hoping that this would make more use of the plants' internal mathematics: things like the fibonacci sequence appearing in successive rings of petals, and plant growth rates being a function of ... other things, and bindweeds describing spirals, and trees representing tree structures. That sort of thing.
pertinax, Apr 30 2021
  

       //Yeah, I was rather hoping....// Just write it up and post it now that you see the light. I wanted to create something that could actually be constructed and realised, albeit with a lot of careful planning and effort. I'm sure, just like the monkeys with their Shakespeare generating typewriters, that given enough plants, configurations and time, Fermat's last theorem would magically be solved in a greenhouse. Magic solves all problems.
xenzag, Apr 30 2021
  

       ^this.   

       What I said earlier - You're gonna need a bigger garden.
a1, Apr 30 2021
  

       Like I said above, a Turing machine implemented in gardening needs a near-infinite sized garden
hippo, Apr 30 2021
  

       Slime moulds have been proven to have a superior problem solving ability within a system. (Look up slime mould learning the most efficient way to navigate the Tokyo underground - (link) I'm sure someone could construct a slime mould computer.
xenzag, Apr 30 2021
  

       Ants can also compute <link>. Too bad 8th isn’t available to give a dissertation on emergent systems in Discworld.
a1, Apr 30 2021
  
      
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