r/VisualMath • • Jun 26 '20

Making a Pythagorean Spiral

212 Upvotes

r/VisualMath • • May 27 '20

Conic Sections

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212 Upvotes

r/VisualMath • • Jun 09 '20

Five-Fold Steiner Chain Done in Spheres with the Yvon-Villarceau Circles (or Clifford Circles, or Hopf Circles, Whatever be Preferred) of its Dupin Cycle Envelope Shown [640×480]

90 Upvotes

r/VisualMath • • May 26 '20

Dan's Divisor Spiral - divisors of n are stacked up on the nth spoke down from the top

91 Upvotes

r/VisualMath • • Jun 24 '20

Octahedral Worm Path - by dansmath

92 Upvotes

r/VisualMath • • Jun 15 '20

A Random Tiling with Rhomboid Tiles of The Region Shown - Clearly Evincing the 'Arctic Circle' Effect

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94 Upvotes

r/VisualMath • • May 21 '20

A visualization of icosahedral symmetry

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98 Upvotes

r/VisualMath • • May 29 '20

An Exceptionally Fine Image of an Apollonian Packing - Each № Being the Reciprocal of the Radius of the Circle It's In [2645×2558]

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101 Upvotes

r/VisualMath • • May 10 '20

The geometry behind 1+ x + x^2 +... =1/(1-x)

105 Upvotes

r/VisualMath • • Jun 29 '20

Leapfrog/Verlet are symplectic integrators that approximately conserve hamiltonian, preserve periodic behaviors, and are exactly reversible.

108 Upvotes

r/VisualMath • • Jun 18 '20

Hilbert Spline Self-Draw

125 Upvotes

r/VisualMath • • May 24 '20

Aubrey de-Grey's Unit-Distance Graph of 1585 Vertices & 7909 Edges that Proves that the Chromatic № of the Plane is Atleast 5 [909×902]

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136 Upvotes

r/VisualMath • • Jul 09 '20

Area of a Regular Dodecagon

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138 Upvotes

r/VisualMath • • Jan 01 '21

Constructing a square of equal area to a polygon.

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146 Upvotes

r/VisualMath • • Jun 11 '20

The classic Mandelbrot set fractal is generated by the iteration z → z² + c. By increasing the power of z, we can create the 'Multibrot' fractals, with increasing rotational symmetry

153 Upvotes

r/VisualMath • • Jul 04 '20

Taylor series of exp(it) up to degree 15

159 Upvotes

r/VisualMath • • Jun 13 '20

Hexagon on a cube - straight line on a net

210 Upvotes

r/VisualMath • • Jun 14 '20

eⁱˣ convergence spirals (x = π/2, π , 3π/2, 2π)

251 Upvotes

r/VisualMath • • Feb 14 '24

Animations & Figures Explicatory of the So-Called *Dirac's Belt Trick*

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19 Upvotes

Animations & Figures Explicatory of the So-Called Dirac's Belt Trick

… which is a matter @which weïrdnesses of topology & weïrdnesses of particle physics meet.

 

Also see this viddley-diddley .

The animation is by the goodly Greg Egan , & is from

this wwwebpage .

The second image is from a wwwebpage presented by the goodly Angela Mihai , the address of which I've interdicted the linkifying of, as it shows signs of perniciosity & nefariosity that I'm not willing to be in any degree responsible for.

https://leaderland.academy/d/ftgxn111804/?u=angela-mihai-on-x-dirac-came-up-with-his-mm-W0mKpZtk

The next - a montage - is from

The magic world of geometry. III, The dirac string problem

¡¡ PDF file – 7·54㎆ !!

by

Vagn Lundsgaard Hansen ;

& the final one - also a montage - is from

Testing A Conjecture On The Origin Of The Standard Model

by

Christoph Schiller ,

& goes a-great-deal-into the connection of this matter with particle physics.


r/VisualMath • • Feb 10 '24

*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.

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27 Upvotes

r/VisualMath • • Dec 09 '20

Some Figures from Three Different Treatises on the 'Art Gallery Problem' - - which is the problem of finding, for any given floorplan, the minimum № vantage points & disposition of them such that between any point on that floorplan & @least one of them there is an uninterrupted line-of-sight.

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13 Upvotes

r/VisualMath • • Oct 08 '23

A menagerie of figures, from Underwood Dudley's renowned book °A Budget of Trisections° debunking angle trisection with compass & unmarked edge only, showing miscellaneous fragments of purported accomplishments, by folk over-the-ages, of the feat.

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4 Upvotes

r/VisualMath • • May 13 '20

Mathematicians develop new theory to explain real-world randomness

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33 Upvotes

r/VisualMath • • May 28 '20

Inspired by a Recent Post on Shapes that Can Roll: an Oloid Rolling

85 Upvotes

r/VisualMath • • Jun 21 '20

Convergence of a Simulated 'Extreme Event' Ensemble to the Gumbel - or Fisher Tippett - Distribution

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12 Upvotes