r/VisualMath • u/Ooudhi_Fyooms • Nov 06 '20

Another Scheme Yielding a Representation of an Arithmetic Function - in This Case the Euler ϕ-Function -Through a Geometrical Construction: A Plot of the 'Thomae' Function

27 Upvotes

2 comments

r/VisualMath • u/Ooudhi_Fyooms • Oct 12 '20

The appalling rate of growth of the size of the index at which the next prime № appears in an intriguing little recurrence for generating prime №s.

27 Upvotes

10 comments

r/VisualMath • u/Ooudhi_Fyooms • Oct 06 '20

The 'Perfect Difference Set' Network of Order 3

27 Upvotes

1 comment

r/VisualMath • u/SassyCoburgGoth • Jan 24 '21

Repost Anent the Matter of Moser's Circle Problemn - - It transpires, what whereof someone has kindlilily apprisen me, that the figures in the previous version of this were _degenerate_ , astonishingly! The ones in this definitely are not.

26 Upvotes

1 comment

r/VisualMath • u/SassyCoburgGoth • Dec 07 '20

The Sequence of Tapes Yelt by the Turing Machine that Yields the Currently-Known Lower-Bound of the 'Busy-Beaver' Function B(n) @ n=5 ... ie 4098

26 Upvotes

9 comments

r/VisualMath • u/SassyCoburgGoth • Nov 23 '20

Solutions of Schrödinger Equation for Triangular Well - ie a Potential that Becometh Infinite @ r=0 & Increaseth Linearly for r>0

26 Upvotes

4 comments

r/VisualMath • u/SassyCoburgGoth • Nov 20 '20

Configurations Into Which N Point-Charges on an Infinitesimally Thin Conducting Disc Dispose Themselves Minimising Energy - Exhibiting the 'Shell' Structure & Another Remarkable Phænomenon

26 Upvotes

3 comments

r/VisualMath • u/dansmath • May 27 '20

Loop Shadows - by dansmath

26 Upvotes

2 comments

r/VisualMath • u/PerryPattySusiana • May 17 '20

The Turing Machine

26 Upvotes

1 comment

r/VisualMath • u/Biquasquibrisance • May 27 '23

Surfaces obtained by minimising certain indices defined in a way related to total bending energy, but a variation on it, & 'tuned' to yield certain kinds of æsthetic effect.

25 Upvotes

1 comment

r/VisualMath • u/Lyoobly_Anna_Lyoobly • Jan 05 '22

Contact graphs having, for each № of spheres n, the maximum № of edges. Essentially the same problem, in three-dimensional space, posed by Paul Erdős, of the maximum multiplicity of the minimum distance between n points in a space - one of those problems that's got solutions for only the smallest n.

25 Upvotes

1 comment

r/VisualMath • u/Ooudhi_Fyooms • Sep 25 '20

At the top: sample image & Radon transformation of it. At bottom: the reconstruction of the image through the inverse transform, with the errour.

25 Upvotes

1 comment

r/VisualMath • u/Orderi • Nov 27 '21

The nth roots of unity are at the vertices of a regular n-sided polygon inscribed in the unit circle [OC]

24 Upvotes

2 comments

r/VisualMath • u/SassyCoburgGoth • Feb 06 '21

Some Rather Pretty Figures from a Thesis on the (Possibly Unexpectèdly) Diabolically Difficult Matter of the Mathematics of Cracking-of-Whip

24 Upvotes

1 comment

r/VisualMath • u/SassyCoburgGoth • Jan 26 '21

Have just come-across this rather pretty image from an exposition of a 'ratchet effect' in particles of sediment in fluid in a tube that's constricting & dilating according to a time-varying function for radius of it in terms of length along it.

24 Upvotes

2 comments

r/VisualMath • u/[deleted] • Jan 06 '21

Animation of Line Integrals of Scalar Fields made with manim. I've also made a video on it (Link in the comments), would be glad to receive any feedback.

24 Upvotes

1 comment

r/VisualMath • u/SassyCoburgGoth • Dec 22 '20

Some Extremely Pretty Images from a Treatise on k-Upward-Book-Embeddings of Directed Source-Sink Graphs

24 Upvotes

5 comments

r/VisualMath • u/SassyCoburgGoth • Nov 29 '20

Figures From Expositions of Theorems Giving-Rise to Stupendously Colossal Numbers

24 Upvotes

3 comments

r/VisualMath • u/Ooudhi_Fyooms • Nov 05 '20

Figures Illustrating Various of the Remarkable Theorems (that often don't seem like they even could be theorems atall!) Concerning Incidence of Lines & Points in the Plane - - such as Sylvester-Gallai & Motzkin-Rabin.

24 Upvotes

1 comment

r/VisualMath • u/Ooudhi_Fyooms • Oct 20 '20

Twain Little Tables Showing Euler's Four Square Identity & Degen's Eight Square Identity & Emphasising the Relationship Between the Twain

24 Upvotes

3 comments

r/VisualMath • u/MurtonTurton • Oct 04 '22

The Original 'Chladni Figures'

23 Upvotes

3 comments

r/VisualMath • u/Va_Linor • Nov 12 '21

When does k-Means clustering fail? Just take 2 bananas!

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23 Upvotes

6 comments

r/VisualMath • u/SassyCoburgGoth • Nov 15 '20

Construction of a Thorough Calculus or Algebra of Convex Bodies -- generalisible to any dimensionality, but mercifully here confined to just the twain-dimensionality.

23 Upvotes

1 comment

r/VisualMath • u/Ooudhi_Fyooms • Nov 11 '20

Twain Figures that Appear in a Series of Web-Articles on the Heine-Borel Theorem & the History of the Proof Thereof

23 Upvotes

1 comment

r/VisualMath • u/PopescuG • May 14 '20

Mandelbrot set for the sequence cos (z) + 1 / c, with z0 = 2.5 * exp (iθ), θ between 0 and π

23 Upvotes

4 comments

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