Hello! To support your point, I think entomology is particularly fascinating as a window into how evolution works because of how many niches there are in the micro world. “Amazon rainforest” is more or less a single biome for macroscopic humans. But for insects, a whole new set of dimensions are navigable and there are substantial differences between, say, tree X, pond Y, canopy W or river V. When you’re small, things aren’t just bigger; there’s also a lot more variety because what look like subtle differences to us (like whether a tree is wet or not) is a huge difference for small buggers (water is sticky at small scales, and can drown insects).
This is to say that there aren’t just two dimensions in the small world; some spiders operate on one dimension, other spiders operate on another dimension, and of course 12,000 different species of ants all have their own way of integrating whatever niche dimensions they operate in.
You can continue your way downward, by the way: the world of unicellular organisms is incredibly dense and varied, and there are way over a million clearly identifiable bacterial species alone.
So when you describe the nature of traps, there are probably thousands of effective space translation constructions, beyond just 2D and 3D.
I mention the Amazon specifically because that part of nature is a hellish death zone, where insects genocide each other every other Tuesday while odd inventions like door-shaped-ants, zombie-ants fungus and worryingly intelligent trial-and-error capable spiders like Portia (technically not native to the Amazon) pop up all the time before getting out-tactic-ed by some other horridly violent species. There is a lot of small-button-pressing going on here, and new tactics that let you explore a new dimension are so effective that “one fell swoop” strategies are common.
It’s like in Worm where every time the protagonists are up against a person with a new power, they nearly die, because the effect of surprise is just that powerful. When you live in a world with superpowered individuals, capability distribution between humans is uneven; the same can be said for the level of variance between species of ants, for example. In both cases, individuals have access to space translations very different from those of their enemies, which is why surprise and the inability to adapt are common observations.
Hi! Thank you for this walk in the space of insects. The spacial complexity implicit in pockets of miniature space seem akin to fractal dimensions or hausdorff dimensions.
Exploring insect space reminds me of my experience exploring non-self-similar 3D fractals, such as hybrid variants of mandleboxes and menger sponges. In these 3D fractals there are fields of complexity and patterns bound to specific scales, and zooming into surfaces would reveal more highly complex space on that surface; branches would “pop up”, and I could rotate my camera around these branches, then zoom into those. And I could repeat this until my zoom level exceeded the floating-point precision offered by by program I was using.
I also see what you mean by the implicit time / energy constraints when moving on surfaces giving extra dimensionality, from the perspective of an insect. Depending on the insect’s locomotion abilities certain surfaces would allow it to move way faster and easier than others, and the differences can be quite stark.
This reminds me of another insight, while thinking about brain-machine interfaces, regarding to how brain neurons are organized: neurons on the cortex / surface of the brain of are highly connected and have a high fractal dimension (~ 2.8 according to wikipedia and the paper it references). As you go deeper into the brain, towards the corpus callosum, this complexity is reduced… axons are longer and tend to be covered with myelin sheath, which increases the conductivity of these connections for longer-running connections. So from the perspective of a neuron in the cortex, neurons way further away can appear closer since the charge and sensitivity requirements between topologically distant neurons are similar to the connections of its neighbors.
As for Worm, I have not read it yet, but the ecological feedback loops being described here is very fun to think about.
Hello! To support your point, I think entomology is particularly fascinating as a window into how evolution works because of how many niches there are in the micro world. “Amazon rainforest” is more or less a single biome for macroscopic humans. But for insects, a whole new set of dimensions are navigable and there are substantial differences between, say, tree X, pond Y, canopy W or river V. When you’re small, things aren’t just bigger; there’s also a lot more variety because what look like subtle differences to us (like whether a tree is wet or not) is a huge difference for small buggers (water is sticky at small scales, and can drown insects).
This is to say that there aren’t just two dimensions in the small world; some spiders operate on one dimension, other spiders operate on an other dimension, and of course 12,000 different species of ants all have their own way of integrating whatever niche dimensions they operate in.
You can continue your way downward, by the way: the world of unicellular organisms is incredibly dense and varied, and there are way over a million clearly identifiable bacterial species alone.
So when you describe the nature of traps, there are probably thousands of effective space translation constructions, beyond just 2D and 3D.
I mention the Amazon specifically because that part of nature is a hellish death zone, where insects genocide each other every other Tuesday while odd inventions like door-shaped-ants, zombie-ants fungus and worryingly intelligent trial-and-error capable spiders like Portia (technically not native to the Amazon) pop up all the time before getting out-tactic-ed by some other horridly violent species. There is a lot of small-button-pressing going on here, and new tactics that let you explore a new dimension are so effective that “one fell swoop” strategies are common.
It’s like in Worm where every time the protagonists are up against a person with a new power, they nearly die, because the effect of surprise is just that powerful. When you live in a world with superpowered individuals, capability distribution between humans is uneven; the same can be said for the level of variance between species of ants, for example. In both cases, individuals have access to space translations very different from those of their enemies, which is why surprise and the inability to adapt are common observations.
Hi! Thank you for this walk in the space of insects. The spacial complexity implicit in pockets of miniature space seem akin to fractal dimensions or hausdorff dimensions.
Exploring insect space reminds me of my experience exploring non-self-similar 3D fractals, such as hybrid variants of mandleboxes and menger sponges. In these 3D fractals there are fields of complexity and patterns bound to specific scales, and zooming into surfaces would reveal more highly complex space on that surface; branches would “pop up”, and I could rotate my camera around these branches, then zoom into those. And I could repeat this until my zoom level exceeded the floating-point precision offered by by program I was using.
I also see what you mean by the implicit time / energy constraints when moving on surfaces giving extra dimensionality, from the perspective of an insect. Depending on the insect’s locomotion abilities certain surfaces would allow it to move way faster and easier than others, and the differences can be quite stark.
This reminds me of another insight, while thinking about brain-machine interfaces, regarding to how brain neurons are organized: neurons on the cortex / surface of the brain of are highly connected and have a high fractal dimension (~ 2.8 according to wikipedia and the paper it references). As you go deeper into the brain, towards the corpus callosum, this complexity is reduced… axons are longer and tend to be covered with myelin sheath, which increases the conductivity of these connections for longer-running connections. So from the perspective of a neuron in the cortex, neurons way further away can appear closer since the charge and sensitivity requirements between topologically distant neurons are similar to the connections of its neighbors.
As for Worm, I have not read it yet, but the ecological feedback loops being described here is very fun to think about.
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refs:
3D fractal rendering software: https://mandelbulber.org/
https://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension
https://www.sciencedirect.com/science/article/abs/pii/S105381190300380X?via%3Dihub