Given the triangular model of a two-dimensional object shown...

Given the triangular model of a two-dimensional object shown here: write a vertex list representation of this model. Because you are working in two dimensions rather than three, your vertex list will only have $(x, y)$ coordinates rather than $(x, y, z)$. Assume vertex $v_1$ is the origin.

Given the triangular model of a two-dimensional object shown here:
write a vertex list representation of this model. Because you are working in two dimensions rather than three, your vertex list will only have $(x, y)$ coordinates rather than $(x, y, z)$. Assume vertex $v_1$ is the origin.

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Key Concepts

Coordinate Systems in Two Dimensions

A coordinate system in two dimensions is a framework that allows points to be defined using an ordered pair of numbers, typically (x, y). In the context of modeling and graphics, this concept is fundamental because it provides a way to precisely locate points, define shapes, and perform transformations such as translations, rotations, and scaling. When working with a 2D model, this system simplifies the representation as compared to three dimensions, focusing solely on two axes.

Vertex List Representation

A vertex list is a data structure commonly used in computer graphics and computational geometry to store the coordinates of the vertices of a model. It provides an ordered collection of points, each represented as coordinates in a specified space. This concept is essential because it allows the geometric structure of an object to be defined independently of its connectivity or face definitions, serving as the basis for constructing more complex representations such as meshes.

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