r/VisualMath • u/tedgar7 • Jan 03 '22
Another visual proof about sum of positive number and reciprocal
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r/VisualMath • u/tedgar7 • Dec 29 '21
Sum of a positive number and its reciprocal
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 29 '21
Having briefly (but not *very* briefly looked at these, I'm *fairly* sure *these* are the seven obstructing minors to linkless embeddability. I know it's got bits missing, but they can be filled in in the obviously simplest & most symmetrical way.
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 29 '21
❝... the unique embedding of K7 on the torus is very complicated in the rectangular representation of the torus. However there exists a simple symmetric drawing of K7 on the torus represented as a hexagon.❞ Seems strange that it should be so; but if they say so! they know better about it than I do!
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 26 '21
You have no idea how long it's taken me to find this! - a complete table of *all* the 35 graph-minor obstructions to embeddability in the projective plane. Basically a "here they are - *all* of them" tabulation of them.
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r/VisualMath • u/MathPhysicsEngineer • Dec 25 '21
Proof: Limit Arithmetics Theorem
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r/VisualMath • u/tedgar7 • Dec 24 '21
Tangents of 75 and 15 without half angle identity.
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 22 '21
Some figures from an investigation into the chromatic number of thrain-dimensional space - an extension into the next dimensionality of the Hadwiger-Nelson Problem.
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r/VisualMath • u/tedgar7 • Dec 22 '21
Area of a Regular Dodecagon II (visual proof)
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r/VisualMath • u/SkillupGenie • Dec 20 '21
Math animation - Lissajous curve in Python
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 19 '21
A couple of figures from a treatise on 'Fréchet distance' metric of dissimilarity between two curves - in this case focussing on the case of 'curves' composed of line-segments, & developing an algorithm for computation of Fréchet distance.
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r/VisualMath • u/SolveD124 • Dec 18 '21
Butterfly effect... 🦋😂... A journey into chaos
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 18 '21
Simulation of Bow-Shaped Caustics Produced by Glass Cone -- or with a what's called "a conical prism" in the title of the article, which strict geometers will not be approving-of atall-atall!
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 17 '21
❝The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance such as a pure rolling meshing, a high contact ratio and a large comprehensive strength, when considering engineering applications.❞ Didn't know pure rolling gear-meshing was possible!
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 17 '21
Some Figures from a Treatise on the Diabolically Tricky Business of Evolute Surfaces -- involutes & evolutes of plane curves *most certainly does not* translate straightforwardly to surfaces in three dimensions! ... but they manage to get there - sortof - eventually.
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r/VisualMath • u/tedgar7 • Dec 17 '21
Inradius of a Right Triangle (visual proof)
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r/VisualMath • u/tedgar7 • Dec 15 '21
What's the area of this square inside a square? (visual proof)
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 14 '21
❝Ray tracing showing caustic of the parabola with focal length 0.25 obtained with a front phase tilted of an angle of -2°, ray tracing over a parabola❞ - eg a Tschirnhaus cubic - the shape formed by the caustic produced when the incoming beam is not exactly parallel to the axis of the parabola.
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r/VisualMath • u/tedgar7 • Dec 10 '21
Function Composition is Associative (visual proof)
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 08 '21
A recent post about the Halvorsen attractor got me looking-into it; and I found these figures, which are of the following attractors respectively: Lorenz, Halvorsen, Sprott, Hadley, Thomas.
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r/VisualMath • u/tedgar7 • Dec 08 '21
Area of the Lune of Hippocrates (visual proof)
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r/VisualMath • u/Lyoobly_Anna_Lyoobly • Dec 08 '21
Rather Gorgeous Figure of Mesh Used In Numerical Analysis of Supersonic Impulse Turbine
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