"Patterns created by hypothetical grasshopper jumps." Topic
5 Posts
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Action Log
06 Dec 2017 10:36 a.m. PST
by Editor in Chief Bill
- Changed title from "Patterns created by hypotheitcal grasshopper jumps." to "Patterns created by hypothetical grasshopper jumps."
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| Bowman | 06 Dec 2017 10:01 a.m. PST |
"Picture a grasshopper landing randomly on a lawn of fixed area. If it then jumps a certain distance in a random direction, what shape should the lawn be to maximise the chance that the grasshopper stays on the lawn after jumping?" Check out the short video: link Interesting patterns based on hypothetical jump distances. This is applicable to other observed phenomena, such as biological markings and patterns. |
| Winston Smith | 06 Dec 2017 2:16 p.m. PST |
If I have to cut my lawn in those shapes, the grasshoppers can escape for all I care.  |
| Bowman | 07 Dec 2017 7:10 a.m. PST |
But it's interesting that changing the hypothetical jump distance produces such different patterns. Now assume you have a fish, that builds a coloured protein that is needed for the pressure sensing lateral lines on each side of it's body. These proteins have different diffusion rates through the fish body, analogous to the grasshopper "jump distances". This could explain the distribution of the colouration of the banding on the side of the fish. Now assume that this colouration aids in the fish being hidden, in it's natural environment. This would add to it's "fitness" and give it an evolutionary edge. It's also interesting to think that Alan Turing was thinking about this in the 1950's. But then I'm a bit of a science geek, and of course I'd find this interesting. |
| Mithmee | 11 Dec 2017 1:33 p.m. PST |
I see a grasshopper jumping in my yard it will very soon a dead grasshopper. So its attempt at artistic jumping will come to a violent end. |
| Bowman | 12 Dec 2017 7:27 a.m. PST |
They are not real grasshoppers. |
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wonders why create different 3D models, if you can create one that can be customized?
