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You open up one corner of the first cube, interlock the second cube at the corner, and then close the corner. *See also Robert Heinlein’s ‘…And He Built A Crooked House.”: Specialists and communicators often gloss over this difference (and consider “non-Euclidean” and “curved” to be essentially the same thing -because they behave the same when seen from the inside), but this seems to be confusing to non-specialists.”. Models are useful to explain a mathematical structure or prove that it makes sense, but they should not be taken literally (like you should not say that movies with airplanes are bad because your model airplane does not fly or that the set of real numbers is countable because there is a countable model of ZFC): for a being living inside a non-Euclidean space, this triangle would have all its edges straight. This is a model where straight non-Euclidean lines are modeled by curved Euclidean lines (great circles). It is more accurate to say that a sphere is a model of non-Euclidean geometry. “…originally non-Euclidean geometry is about what would happen if straight lines did not behave as Euclid thought (for example, a triangle with three straight edges could have angles not adding up to 180°… and we do not really know whether they do add up to 180° in our real world, maybe they don’t, but our instruments are not precise enough). At least I’m not alone in my lack of comprehension: I just thought the word ‘tesseract’ sounded cool.
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Let’s put it this way: I didn’t even understand your explanation. Video created using found footage and Glitch Studio FX, arranged in CapCut and edited in : I knew there was a reason why I failed my maths O Level! I’ll be sure to pass your observations along to Mr Lovecraft.
#Non euclidean geometry hp lovecraft series#
…Let’s just say it all escalated quickly.Įverything was played live on the FP10 in accompaniment to the Penny whistle score fragment, into a series of Atom Clips, tidied up, and set to driving Animoog on the lead line, Model D on bass, Factory on Other Bass, Hammerhead and DrumJam on drums, Digitalism on pads, and Grand Piano AUV3 on piano. ) into Notion Mobile, a score writing app I got to help with the piano studying, then from there into a MIDI which I was playing back on the piano, and well… An attempt by me to transcribe some Penny whistle practice (! - what can I tell you? I’m a (non) multi instrumentalist. So this one started from an even wilder place, actually. For this reason, I’m putting these non-canon, non dark things on YouTube, to keep the, ah, purity of my SoundCloud intact… I’m not especially in control of where this newbie keys-noodling takes me, so the end results tend to be not at all like my usual stuff.
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I’m practicing my baby steps on the keyboard via a couple of app courses, but when I hit my frustration point, (which is often) I find myself noodling around with what I’ve been practicing and… stuff happens.
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I’m calling this one ambient, not at all dark… Further fruits of my very different working method when using the FP10 piano as the primary compositional tool. Lovecraft, The Call Of Cthulhu.Ī TESSERACT is the 4-dimensional analog of a cube. “He talked of his dreams in a strangely poetic fashion making me see with terrible vividness the damp Cyclopean city of slimy green stone - whose geometry, he said, was all wrong…” - H.P.
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