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Understanding Points, Edges, and Surfaces in Orthographic Projections

This instructional material focuses on the principles of orthographic projection to identify and track points, edges, and surfaces across orthogonal views. By projecting views onto a glass cube and unfolding it, we can understand how points align between different perspectives. Additionally, we explore how edges and surfaces are defined and how they can project orthographically, sometimes appearing as points or lines from specific angles. This guide aims to enhance skills in sketching and visualizing complex objects while considering hidden lines and centerlines, crucial for accurate representation.

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Understanding Points, Edges, and Surfaces in Orthographic Projections

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  1. Point, Edge, and Surface Tracking Sections 10.06 and 11.05.03-.04 of Text

  2. Objectives • Use the principles of orthographic projection to identify points, edges, and surfaces in orthogonal views.

  3. Points in Orthographic Projection • When views of an object are projected onto the glass cube and it is unfolded, points will “line up” from one view to the next. B A C B C A B B A C A C CLICK

  4. Edges in Orthographic Projection • Edges on objects are defined by two or more points, so they also project orthographically between views. • Note that sometimes, an edge may appear to be a point, when you are looking directly down the line. CLICK

  5. Point and Edge Tracking 15 17 16 13 14 11 12 8 9 10 2 1 3 4 5 7 6 CLICK

  6. Surfaces in Orthographic Projection • Surfaces on objects are defined by three or more points, so they also project orthographically between views. • Note that sometimes, a surface may appear to be a line, when you are looking directly down the edge of that surface. CLICK

  7. Surface Tracking 15 17 16 13 14 11 12 8 9 10 2 1 3 4 5 7 6 CLICK

  8. Point, Edge, and Surface Tracking • Use this time to practice sketching orthographic projections of more complex objects. Don’t forget to include hidden lines and centerlines. • In class assignment

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