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Figure 1.

Transformations of CGR (a) and 2D Gray code (b) of trimers.

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Figure 2.

Transformation of TGC of trimers.

Flaps indicate connecting boundaries in order to make a tetrahedron.

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Figure 3.

Paper crafts of TGC.

Content information of human and honey bee genomes is depicted on the left and center paper crafts, respectively.

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Figure 4.

Generator represented by a development (a) and a tetrahedron (b).

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Figure 5.

Procedure for formation of trimer code from dimer code.

(a) The dimer code is assumed. (b) The generator is stamped on a cell. (c) The generator is rotated around an edge and stamped again. (d) Repeating the rotation and stamping for all cells yields the trimer code.

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Figure 6.

Equivalence between edge rotation of a tetrahedron and half turn of its development.

(a) The tetrahedron before an edge rotation. (b) After an edge rotation of (a). (c) Triangles ABC and DCB are the developments of (a) and (b), respectively. These developments are related by the half turn around point X.

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Figure 7.

Development of a TGC (ABC) and its half turn (CDA) (a) and movements of the generator (b).

(a) The positions of identical cells have point symmetry around M as shown by dotted lines. (b) The generator AEM successively moves to FME, MFC, and CGM by half turns at X, X, and X, respectively. Each arrow inside the generator indicates its orientation. The initial triangle AEM and the last triangle CGM have point symmetry at M.

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Figure 8.

Relationship between addresses and cells (a) and affine transformations (b).

Points A, B, and C are vertexes of a regular triangle and positioned at , , and , respectively. Points D, E, and F are the midpoints of the three boundaries, respectively. Each affine transformation moves triangle ABC into an inner triangle indicated in (b).

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Figure 9.

Address of length 2 (a) and generator (b).

Note that (b) is a mirror image of the generator because this is a stamped image.

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Figure 10.

Algorithm for displaying TGC of -mers.

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Figure 11.

Color coordinate of log odds ratio .

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Figure 12.

Exhibition of TGCs in a science outreach event.

The mobile sculpture is composed along the tree of life.

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Figure 13.

TGC of human genome (Homo sapiens).

Octamer frequencies are depicted. The background frequency is determined by the zeroth-order Markov model.

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Figure 14.

TGC of fruit fly genome (Drosophila melanogaster).

Octamer frequencies are depicted. The background frequency is determined by the zeroth-order Markov model.

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Figure 15.

TGC of honey bee genome (Apis mellifera).

Octamer frequencies are depicted. The background frequency is determined by the zeroth-order Markov model.

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Figure 16.

Comparative visualization of IG of A. mellifera genome with intergenic regions of D. melanogaster genome.

Octamer frequencies are depicted. The background frequency is determined by D. melanogaster genome.

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Figure 17.

Motif around CpG in IG regions.

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