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Origami_1

Origami_1

A segment of chromosome 14 folded to reveal a fractal curve using Origami, the Japanese art of paper folding. Research in this week's issue of the journal Science reveals that a fractal folding pattern is employed when the human genome folds inside the nucleus of a cell. Image: Designed and folded by Jason Ku. Photo by Erik Demaine.

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Origami_2

Origami_2

A segment of chromosome 14 folded to reveal a fractal curve using Origami, the Japanese art of paper folding. Research in this week's issue of the journal Science reveals that a fractal folding pattern is employed when the human genome folds inside the nucleus of a cell. Image: Designed and folded by Jason Ku. Photo by Erik Demaine.

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Fractual_Globule_1

Fractual_Globule_1

In this image, nearby regions on a chain of DNA are indicated using similar colors. The fractal globule is has a hierarchical organization; regions nearby along the chain are also nearby in 3D. Image: Leonid A. Mirny and Maxim Imakaev

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Fractual_Globule_2

Fractual_Globule_2

In this image, nearby regions on a chain of DNA are indicated using similar colors. The fractal globule is has a hierarchical organization; regions nearby along the chain are also nearby in 3D. Image: Leonid A. Mirny and Maxim Imakaev

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Equilibrium Globule

Equilibrium Globule

In this image, nearby regions on a chain of DNA are indicated using similar colors. The equilibrium globule is highly entangled; regions nearby along the chain are far apart in 3D. Image: Leonid A. Mirny and Maxim Imakaev

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Fractal Globule Subchain

Fractal Globule Subchain

A contiguous strech of DNA chain inside a fractal globule packs into a compact, unknotted structure, making it easy to pack and unpack. Image: X. Robert Bao, Leonid A. Mirny and Maxim Imakaev

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Equilibrium Globule Subchain

Equilibrium Globule Subchain

A contiguous strech of DNA chain inside an equilibrium globule generates an extended, highly knotted shape. Image: X. Robert Bao, Leonid A. Mirny and Maxim Imakaev

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Fractal Globule, Unravelling

Fractal Globule, Unravelling

This images shows the result of reversing the force constraining a subchain of the fractal globule. The subchain unravels easily because the globule lacks knots, making the subchain accessible. Image: Leonid A. Mirny and Maxim Imakaev

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Fractal Globule with Cut-out

Fractal Globule with Cut-out

In this image, nearby regions on a chain of DNA are indicated using similar colors. The fractal globule is has a hierarchical organization; regions nearby along the chain are also nearby in 3D. Part of this globule is cut out: in the resulting cross section, the internal spatial clustering is evident. Image: Leonid A. Mirny, Maxim Imakaev and Alexnader N. Mirny.

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Raw Heatmap

Raw Heatmap

A 3D proximity map of the long arm of chromosome 14; the more intense the pixel, the nearer the pair of regions. The checkerboard structure reveals the active and inactive compartments in the genome. Image: Erez Lieberman-Aiden.

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Correlation Map, Chr14.

Correlation Map, Chr14.

A 3D proximity map of the long arm of chromosome 14; the more intense the pixel, the nearer the pair of regions. The checkerboard structure reveals the active and inactive compartments in the genome. Image: Erez Lieberman-Aiden.

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Raw Heatmap, Chr20

Raw Heatmap, Chr20

A 3D proximity map of the long arm of chromosome 20; the more intense the pixel, the nearer the pair of regions. The checkerboard structure reveals the active and inactive compartments in the genome. Image: Erez Lieberman-Aiden.

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Raw Heatmap, Chr20

Raw Heatmap, Chr20

A 3D proximity map of the long arm of chromosome 20; the more intense the pixel, the nearer the pair of regions. The checkerboard structure reveals the active and inactive compartments in the genome. Image: Erez Lieberman-Aiden.

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Hilbert_3D_64

Hilbert_3D_64

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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Peano_3D_729

Peano_3D_729

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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Peano_81

Peano_81

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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Peano_729

Peano_729

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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Peano_729_2

Peano_729_2

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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Peano_6561

Peano_6561

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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Peano_6561_2

Peano_6561_2

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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qGosper_626

qGosper_626

Discovered by Giuseppe Peano in 1890, Peano curves are one dimensional curves that densely fill higher dimensional space. The recently published 3D map of the genome suggests that long stretches of DNA fold into Peano curve-like structures. Image: Leonid A. Mirny and Erez Lieberman-Aiden.

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