Sharanjit

(via peano)

6 years ago Notes (12292)

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6 years ago Notes (1383)

aidiera:

tastefullyoffensive:
[bizarro]
The best.

(Source: tastefullyoffensive, via proofmathisbeautiful)

6 years ago Notes (2798)

$intothecontinuum: “ A 2-coloring of what results from playing connect-the-dots with the complex numbers zn, for 0 < n < 100, as z varies from ei2.595 to ei2.599. Mathematica code: ListAnimate[ Table[ Graphics[ GraphicsComplex[ Table[ {-1^n*Sin[n*a],...$

intothecontinuum:

A 2-coloring of what results from playing connect-the-dots with the complex numbers zⁿ, for 0 < n < 100, as z varies from e^i2.595 to e^i2.599.
Mathematica code:
ListAnimate[
Table[
  Graphics[
   GraphicsComplex[
    Table[
     {-1^n*Sin[n*a], 1^n*Cos[n*a]}, {n, 0, 100}],
    Polygon[Table[i, {i, 1, 100, 1}]]], 
  PlotRange -> .65, ImageSize -> 500],
{a, 2.59523, 2.59994, .00015}]]

(via proofmathisbeautiful)

6 years ago Notes (178)

Proof: Connecting the dots in the complex plane

intothecontinuum:

This will be an attempt at describing the algorithmic procedure used to generate some of the graphics posted here.

Start with a line segment of any length L.

Now pick any angle A in the range 0° to 180°.

Connect another line segment of the same length as…

6 years ago Notes (196)

sugaratoms:

Giant Lobelia
Photograph by George F. Mobley
The leaves of a giant lobelia plant, photographed on Mount Kilimanjaro’s Shira Plateau in Tanzania, spiral around the center.

(via peano)

6 years ago Notes (446)

intothecontinuum:

Type 4) form constant: hexagonal lattice

Mathematica code:

h[x_, y_] := Polygon[Table[{Cos[2 Pi k/6] + x, Sin[2 Pi k/6] + y}, {k, 6}]]

HexagonalLattice[t_] :=
 Graphics[
  {EdgeForm[Thickness[.01]], White,
   Table[
    h[3 i + 3 ((-1)^j + 1)/4 + Cos[Pi/6] t, Sqrt[3]/2 j + Sin[Pi/6] t],
    {i, 15}, {j, 45}]},
  ImageSize -> 500, PlotRange -> {{7, 46.2}, {1.8, 39.8}}]

ListAnimate[
 Table[
  HexagonalLattice[t],
 {t, 0, 3.105, .345}]]

f[x_, y_] := {Log[Sqrt[(x)^2 + (y)^2]], ArcTan[x, y]} 

ListAnimate[
 Table[
  ImageTransformation[
   HexagonalLattice[t] ,
  f[#[[1]], #[[2]]] &, DataRange -> {{-Pi, Pi}, {-Pi, Pi}}],
 {t, 0, 3.105, .345}]]

(via proofmathisbeautiful)

6 years ago Notes (230)

flasd:

Jacques Androuet du Cerceau
Leçons de perspective positive (1676)
[Reprint of the ed. of 1576]

(Source: tonguedepressors, via peano)

6 years ago Notes (83)

bbach82:

(via Beach House Reveal Bloom Album Cover | News | Pitchfork)

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6 years ago Notes (6)

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6 years ago Notes (114)