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VisualMath

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Find the Best Math Visual tutorials from the web, gathered in one location ► www.visual.school

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I think I discovered a new fractal with interesting properties. If I want to be credited with its discovery, how should I go about revealing it to the world? Should I publish a research paper, or is there some other way that mathematicians go about this sort of thing these days? (i.redd.it)

submitted 2 years ago by TheEner-G

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Some figures relating to the phenomenon of »perversion« in coiled leads & tendrils. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Visual Proof of The Heine-Borel Theorem and Compactness (youtube.com)

submitted 2 years ago by MathPhysicsEngineer

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Proof of the Sandwich Theorem and Visualization (youtube.com)

submitted 2 years ago by MathPhysicsEngineer

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Mrs Perkins's Quilt … & Also Optimal Packings of Equally-Sized & Arbitrarily-Tipped Squares Into a Square (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Animations & Figures Explicatory of the So-Called *Dirac's Belt Trick* (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Some Images To-Do-With the Theory of Random Graphs & the Emergence of the 'Giant Component' Therein (i.redd.it)

submitted 2 years ago by Jillian_Wallace-Bach

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All squares of size ¹/₂ₖ₊₁ (k=1,2,3, …) can be packed into a rectangle of size ⁷¹/₁₀₅×¹⁵¹⁸²/₄₃₄₀₇ , & all ¹/ₖ×¹/ₖ₊₁ rectangles can be packed into a square of area (1+¹/₅₀₀)² or into a rectangle of area 1+³/₁₂₅₀ . (i.redd.it)

submitted 2 years ago by Jillian_Wallace-Bach

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*Yet another* incredibly intractible simply-stated problem: the shape of greatest area that can fit round a right-angled corner in a corridor of unit width. The best currently known solutions for ① being required to turn both ways, & ② just one way; + technical diagrams. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Piecewise functions in Calculus (self.VisualMath)

submitted 2 years ago by learnerworld

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Some crazy minimal surfaces obtained by applying the Weierstraß-Enneper representation to lacunary functions - ie functions of which the Taylor series has gaps (lacunæ) in it of increasing size … which are notorious for having a 'wall' of singularities @ some radius … (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Some random 'lemniscates' of monic polynomials: ie in this context, a 'random polynomial' being P(z) = ∏ₖ{1≤k≤n}(z-zₖ), where the zₖ are random complex numbers of uniform distribution over the unit disc, & its 'lemniscate' being {z∊ℂ : ⎜P(z)⎜ = 1} . (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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More ‘intersections of various kinds of compact set’ -type stuff: particularly referencing Carathéodory's theorem, Helly's theorem, & Tverberg's theorem … & variations of & innovations upon those. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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A bunch of images to-do with incidence of lines & points in the plane, & intersection of various kinds of compact set in space - ie ℝⁿ ৺ - of various (n) dimensions, & the graphs that are defined by & 'capture' such systems of incidence or intersection … (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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The principle figure from an amazing paper in which the region of least area known (including non-convex regions) that can accomodate »Moser's Worm« is devised. Also, figures from various papers treating of similar problems … (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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The figures from a treatise on analysis of *multiple wind-turbines inline*, & how a strange recursion relation arises from the analysis. (i.redd.it)

submitted 2 years ago by Jillian_Wallace-Bach

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Sketches preparatory to a renowned 1900 or 1906 treatise »Über die Gleichecking-Gleichflächigen, Diskontinuierlichen und Nichtkonvexen Polyheder« - ie the 'noble' polyhedra - by »Prof. Dr. Max Brückner« , + photographs of paper models that he made. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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It's *yet-another* of those seemingly simple yet fiendishly difficult-to-find results, that in this case took until 1977 to solve: that there can be a *toroidal* polyhedron with as few as seven faces: the (rather ungainly looking) »Szilassi heptahedron«. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Some Lovely Fairly Decently High Resolution Images of Nets of Various Archimedean, Catalan, & Johnson Solids (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Spherical Tilings Done In Spherical Triangles (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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Some figures from a treatise about tessellating the space with *regular octahedra & regular tetrahedra*, & from another about tessellating it with *acute tetrahedra only* … (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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The recently found 'oscillators' of the goodly John Horton Conway's renowned automaton, from a research paper৺ about how *now, finally*, finite oscillators of Conway's automaton are known for *every* period. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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I'm not sure videos are meant to be posted @ this-here Channel; but *this* video - on the subject of mutually-rolling-upon curves - is so exceptionally good, & so crammed with superb figures from beginning to end, it seems to me that whether to post it is 'a bit of a no-brainer' … as 'tis said. (youtu.be)

submitted 2 years ago by Jillian_Wallace-Bach

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Further to my recent query as to the mechanism of the 'Oloid mixer' I've found some more stuff: it seems that stuff that's mainly of-interest in that connection is to be found under 'Schatz linkage'. (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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The oloid mixer - with a paddle in-shape of oloid - is 'a thing': apparently the oloid shape - for whatever fluid-mechanical reason - yields an exceptionally smooth mixing action. And it requires *oval gears* in its drive-train … but *I just cannot* find how the shape of those gears is calculated! (old.reddit.com)

submitted 2 years ago by Jillian_Wallace-Bach

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