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#Study of Geometry
thecrochetcrowd · 2 years
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TOP 2022 Crochet Crowd Favourites: Page 20 of 20
TOP 2022 Crochet Crowd Favourites: Page 20 of 20
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siruerto · 1 month
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you got this rookie
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garadinervi · 4 months
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George Tscherny, "Science States Meanings. Art Expresses them", Silas H. Rhodes (art director), School of Visual Arts, New York, NY, 1958 [Milton Glaser Design Study Center and Archives, SVA Library, School of Visual Arts, New York, NY]
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hauntedbystorytelling · 5 months
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Étude de nu féminin, ca. 1905-1930. Tirage argentique d'époque; cachet du studio A·N (Alfred Noyer) et numéro 78 dans l'image. | src Millon ~ Artprecium
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dreadark · 4 months
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thanks to lemuen complaining about aulus not shutting the fuck up, I think we can safely conclude he was in fact the guy thorns was fighting in leonhardt's kin memories
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this still doesn't explain why leonhardt has thorns kin memories but I don't think that one is ever being explained
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geometrymatters · 8 months
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The Neurogeometry of Perception: A Journey into Geometric Cognition
In the realm of cognitive science and neurology, there exists a fascinating intersection where geometry meets perception, aptly termed “neurogeometry”. This interdisciplinary field seeks to understand how our brains process and interpret the visual world through geometric structures and patterns. Alessandro Sarti and Giovanna Citti, prominent figures in this domain, have extensively explored the fundamental principles of neurogeometry, uncovering the intricate relationship between the architecture of our brains and the geometric forms we perceive.
“Neurogeometry” is not merely a fusion of “neuroscience” and “geometry”. It’s an ambitious endeavor to model the functional architecture of the primary visual cortex and understand how geometric patterns underpin our visual processing. As described by Sarti and Citti,
“We remind some basic principles of the neurogeometrical approach as it has been proposed by various researchers to model the functional architecture of the primary visual cortex.”
This statement underscores the comprehensive nature of the approach and its foundational importance in cognitive science. The very essence of neurogeometry lies in its quest to unravel the architectural blueprint of our perceptual processes. Our brains, complex and intricate, are not just passive receivers of visual stimuli. Instead, they actively construct a coherent understanding of the world through geometric frameworks. Every curve we perceive, every angle we discern, and every spatial relationship we recognize is a testament to the brain’s inherent ability to process the world geometrically. Neurogeometry, therefore, serves as a bridge, connecting the abstract realm of geometric shapes and patterns to the tangible reality of neural processes.
Continue reading →
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anon-polls-for-you · 2 months
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Hi!! I'm new here a and I love your poll!!
If you have to study, what will you study about?
Math
Your native language
Foreign language (specify!!)
Soical
Geometry
All of the above
None of the above (specify!!)
See results
(thank you so much anon, and welcome!)
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thebluestbluewords · 4 months
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happy holiday break, let’s talk class schedules
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According to the Secrets of Auradon Prep tie-in book, AP runs on a rotating block schedule. Six periods per day, plus lunch. Pretty reasonable for a high school class schedule.
Homeroom once a week feels a little weird to me, but after an unofficial poll of some friends, it’s apparently not too uncommon for American high schools to only have it at the start of the week.
It’s sort of nice that the students get a study period every day, instead of having their free block/study block worked into the rotation with the rest of their classes.
In Mal’s Diary, we get another look at her schedule.
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She’s in most of the same classes as the sample from before, but no chemistry class. Is Mal not interested in chemistry, or did Fairy Godmother decide it was more important for her to learn about evil fairies instead? Are there other “cultural history” type classes for other students, or did Fairy Godmother and whoever planned the class schedules for the other VKs just decide to pile on allll of the history/social studies classes for the VK to educate them in the ways of Auradon?
I think it’s funnier for me personally if Fairy Godmother received transcripts from Dragon Hall, looked at the VKs’ classes so far, and decided to say ‘fuck it’ on math and science classes, what these kids need is Auradon cultural education. Woodsmen, Fairies, Auradon History, and straight-up Goodness 101. One singular math class will take care of the rest, they’ll be fine.
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kimblestudies · 1 year
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12.08 - thursday
calculus practice (our teacher refuses to give us a review) and some chemistry while at work.
🎶im waiting for the man, the velvet underground
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mathblogsuni · 21 days
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Differantial geometries
Work work work for success 🙌
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muisnotforyou · 11 months
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Today I learned how fun it is to draw a hyperbolic paraboloid.
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Pictured above is one example of it, the graph of the function f : IR² → IR defined by the equation f(x,y) := xy, with some points of the input plane marked and height of the graph indicated in four points. It is drawn only for a square around the origin (that makes it easy to draw), but if you imagine extending it on the edges to make a rounder shape, you might be able to see the (probably) most famous rendition of the hyperbolic paraboloid shape, the Pringles chip:
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So why is the hyperbolic paraboloid so fun to draw? Well, a defining property (and according to Wikipedia, one of the oldest definitions) of the shape is that it may be generated by a moving line that is parallel to a fixed plane and crosses two fixed skew lines.
Skew lines are lines that don't cross but are also not parallel.
In the above example, this property is easily explained like this: if you fix either x or y into place (treat it like a constant) in the equation z = xy, you get the points z of the cross-section of the graph of f and the plane corresponding to the equation y = c or x = c, depending on which variable you fixed to the constant c. This is now a linear equation, which represents a straight line.
So, whenever you have two points that you know are in the graph, which also lie in the same plane parallel to either the xz-plane or the yz-plane, we now know that the straight line that contains both of them is also completely contained in the graph. This provides us with a fairly simple way to draw (part of) this beautiful shape:
Draw a square around the origin in the xy-plane and for it's corners find the corresponding z values in the graph. In this case, I chose a square with sidelength 2, but the actual values don't matter that much.
Having found four points (above and below the corners of the square), connect them with straight lines parallel to the sides of the square. These are in the graph.
Choose two of those lines which are opposite each other, segment them evenly with the same segment lengths, and connect corresponding points with straight lines.
Technically, in the last step you have to draw infinitely many lines to get the real shape. But then again, technically to get the actual real shape, in the first step you would have to draw an infinitely large square (or connect both of the pairs of opposite lines with infinitely long straight lines, that works too). But the great thing is, your brain will automatically fill in the rest of the shape for you if you have enough segments.
More generally, the definition given above means you can really take any two skew lines, find the plane they are both parallel to, and then connect them with straight lines that lie in planes that cross that plane with a 90 degree angle. I think it's really cool how you can draw such a complicated looking shape with so few and easy instructions, and only using straight lines. In fact, if I understood the Wikipedia arcticle correctly, this property is probably one of the reasons Pringles are even made in this shape, because it makes manufacturing fairly simple.
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sorrows-hand · 2 months
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#9. Cones. Sanguine, chalk, pastel pencils.
Not perfect, but let it be here.
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s-coupid · 6 months
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did anyone else try to learn coding but gave up just to create ao3 skins?
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garadinervi · 1 month
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Karl Gerstner, Color Sound, (acrylic on cardboard), ca. 1970s [Meredith Rosen Gallery, New York, NY. © Karl Gerstner]
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Exhibition: Karl Gerstner: Color Sound, Meredith Rosen Gallery, New York, NY, February 16 – March 23, 2024
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Differential geometry ✨
(odi et amo)
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simplydnp · 3 months
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very excited to see fellow Dan and Phil fan in stem
i know that i have a degree in dan and phil studies but genuinely my true passion is actually mathematics and i am So sorry
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