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The 3D graphic below shows an arrangement of playing blocks - Leaving Cert DCG - Question A-2 - 2009
Question A-2
The 3D graphic below shows an arrangement of playing blocks. The drawing on the right is a partially completed perspective view of the structure. (a) Complete the ... show full transcript
Worked Solution & Example Answer:The 3D graphic below shows an arrangement of playing blocks - Leaving Cert DCG - Question A-2 - 2009
Step 1
Complete the perspective drawing of the base block
Answer
To complete the perspective drawing of the base block, first establish the vanishing point on the horizon line. Draw the bottom edges of the blue base block that's 4 units wide and 1 unit deep, ensuring they correctly meet at the vanishing point. Next, establish the height of the base block at 2 units. Extend the vertical lines from the bottom edges upward to reflect the height. Lastly, complete the top edges, connecting the raised corners to maintain accurate perspective.
Step 2
Completion of the underside of triangular top
Answer
The underside of the triangular top needs to be represented as seen from the perspective view. Start by drawing the top edge of the yellow triangular block, ensuring it is aligned with the previously drawn edges of the base block. The corners of the triangular top should connect to the correct positions of the base block's edges. The left and right undersides should be indicated clearly, showing the depth below the top edge. Be precise in maintaining scale and proportion in the representation.
Step 3
Determine an auxiliary vanishing point for the 30° sloping faces of the triangular block
Answer
To determine an auxiliary vanishing point (AVP) for the 30° sloping faces, begin by extending the lines that define the slopes from the triangular block's top edge downward. Measure a line at a 30° angle from the horizontal and locate the AVP accordingly. This point will assist in accurately drawing the sloping faces. Mark this point on the drawing to maintain clarity in subsequent sketches.
Step 4
Draw one sloping edge
Answer
Using the established auxiliary vanishing point, draw the first sloping edge of the triangular block. Start from the top edge of the triangular block and create a line that meets the AVP while maintaining the 30° angle. This ensures that the perspective remains consistent with the overall drawing.
Step 5
Draw second sloping edge
Answer
To complete the triangular block, draw the second sloping edge by again referencing the AVP. Connect the top edge of the triangular block to this point, ensuring the angle remains at 30° with respect to the horizontal. Ensure both edges look symmetrical and proportionate as seen in the perspective view.