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. 2013 Oct 30;8(10):e77108. doi: 10.1371/journal.pone.0077108

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© 2013 Henderson

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(A) Brachiosaurus model showing the quadrilateral tessellation used to compute the surface area of the model. The scale bar is 2 m. (B) Decomposition of the n^th body surface quadrilateral into two sub-triangles and . Q₁, Q₂, Q₃ and Q₄ are the four points defining the vertices of the quadrilateral. The edges of the triangles are represented by vectors between the vertices. One half of the magnitude of the vector cross-product of a pair of co-terminal vectors, eg. and , gives the area of the triangle. See Methods: Surface Area Calculations for more detail.

Inline graphic — (A) Brachiosaurus model showing the quadrilateral tessellation used to compute the surface area of the model. The scale bar is 2 m. (B) Decomposition of the n^th body surface quadrilateral into two sub-triangles and . Q₁, Q₂, Q₃ and Q₄ are the four points defining the vertices of the quadrilateral. The edges of the triangles are represented by vectors between the vertices. One half of the magnitude of the vector cross-product of a pair of co-terminal vectors, eg. and , gives the area of the triangle. See Methods: Surface Area Calculations for more detail.