Posts tagged: 2color

800x800
created with Mathematica

800x800

created with Mathematica


800x800
created with Mathematica

800x800

created with Mathematica

created with Mathematica

created with Mathematica

Music: “Psychometry 3.2” by Akufen

Created with Mathematica

created with Mathematica

created with Mathematica

created with Mathematica

created with Mathematica

created with Mathematica

created with Mathematica

Watch in ‘HD’ (1280x720) here

This video shows continuous variation in angle for three different regions of the connect-the-dots algorithm while keeping all other parameters fixed. Unlike the previous video, there is no length contraction of the lines in the iteration. Each instant is a valid 2-coloring.

Music: “Intensives Leben” by Triosk

Mathematica code:

S := 
{{2.8785, .000004, 300, 1000},
{3.05165, .000005, 361, 1070},
{2.6985, .000007 , 301, 929}}

Manipulate[
ImageCrop[
Graphics[
GraphicsComplex[
Table[
{-Sin[n*(Part[Part[S, s], 1] + Part[Part[S, s], 2] f)],
Cos[n*(Part[Part[S, s], 1] + Part[Part[S, s], 2] f)]},
{n, 0, Part[Part[S, s], 3]}],
Polygon[Table[i, {i, 1, Part[Part[S, s], 3], 1}]]],
PlotRange -> .826787, ImageSize -> 1280],
{1280, 720}],
{s, {1, 2, 3}}, {f, 1, Part[Part[S, s], 4], 1}]

This video shows continuous variation in angle (from 0 to Pi) of the connect-the-dots algorithm while keeping all other parameters fixed. Each instant is a valid 2-coloring.

Music: “Derbyshire” by Nerve

Mathematica code:

Manipulate[
ImageCrop[
Graphics[
GraphicsComplex[
Table[
{-(.96)^n*Sin[n*.001 f], .96^n*Cos[n*.001 f]},
{n, 0, 300}],
Polygon[Table[i, {i, 1, 300, 1}]]],
PlotRange -> .1, ImageSize -> 640],
{640, 480}],
{f, 1, 3145, 1}]

800x800
center detail
Mathematica code:
Graphics[ GraphicsComplex[  Table[   {-.9908^n*Sin[n*3.87613], .9908^n*Cos[n*3.87613]}, {n, 0, 750}],  Polygon[Table[i, {i, 1, 750, 1}]]],  PlotRange -> 1, ImageSize -> 800]

800x800

center detail

Mathematica code:

Graphics[
GraphicsComplex[
Table[
{-.9908^n*Sin[n*3.87613], .9908^n*Cos[n*3.87613]}, {n, 0, 750}],
Polygon[Table[i, {i, 1, 750, 1}]]],
PlotRange -> 1, ImageSize -> 800]

800x800
Mathematica code:
Graphics[ GraphicsComplex[  Table[   {-.9908^n*Sin[n*3.87613], .9908^n*Cos[n*3.87613]}, {n, 0, 750}],  Polygon[Table[i, {i, 1, 750, 1}]]],  PlotRange -> .05, ImageSize -> 800]

800x800

Mathematica code:

Graphics[
GraphicsComplex[
Table[
{-.9908^n*Sin[n*3.87613], .9908^n*Cos[n*3.87613]}, {n, 0, 750}],
Polygon[Table[i, {i, 1, 750, 1}]]],
PlotRange -> .05, ImageSize -> 800]

800x800
center detail
Mathematica code:
Graphics[ GraphicsComplex[  Table[   {-.99^n*Sin[n*3.21], .99^n*Cos[n*3.21]}, {n, 0, 700}],  Polygon[Table[i, {i, 1, 700, 1}]]],  PlotRange -> .4, ImageSize -> 800]

800x800

center detail

Mathematica code:

Graphics[
GraphicsComplex[
Table[
{-.99^n*Sin[n*3.21], .99^n*Cos[n*3.21]}, {n, 0, 700}],
Polygon[Table[i, {i, 1, 700, 1}]]],
PlotRange -> .4, ImageSize -> 800]

800x800
Mathematica code:
Graphics[ GraphicsComplex[  Table[   {-.99^n*Sin[n*3.21], .99^n*Cos[n*3.21]}, {n, 0, 700}],  Polygon[Table[i, {i, 1, 700, 1}]]],  PlotRange -> .05, ImageSize -> 800]

800x800

Mathematica code:

Graphics[
GraphicsComplex[
Table[
{-.99^n*Sin[n*3.21], .99^n*Cos[n*3.21]}, {n, 0, 700}],
Polygon[Table[i, {i, 1, 700, 1}]]],
PlotRange -> .05, ImageSize -> 800]

800x800
center detail
Mathematica code:
Graphics[ GraphicsComplex[  Table[   {-.9908^n*Sin[n*3.72802], .9908^n*Cos[n*3.72802]}, {n, 0, 640}],  Polygon[Table[i, {i, 1, 640, 1}]]],  PlotRange -> 1, ImageSize -> 800]

800x800

center detail

Mathematica code:

Graphics[
GraphicsComplex[
Table[
{-.9908^n*Sin[n*3.72802], .9908^n*Cos[n*3.72802]}, {n, 0, 640}],
Polygon[Table[i, {i, 1, 640, 1}]]],
PlotRange -> 1, ImageSize -> 800]

800x800
Mathematica code:
Graphics[ GraphicsComplex[  Table[   {-.9908^n*Sin[n*3.72802], .9908^n*Cos[n*3.72802]}, {n, 0, 640}],  Polygon[Table[i, {i, 1, 640, 1}]]],  PlotRange -> .25, ImageSize -> 800]

800x800

Mathematica code:

Graphics[
GraphicsComplex[
Table[
{-.9908^n*Sin[n*3.72802], .9908^n*Cos[n*3.72802]}, {n, 0, 640}],
Polygon[Table[i, {i, 1, 640, 1}]]],
PlotRange -> .25, ImageSize -> 800]