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The image below shows a modern house design which is based on intersecting prisms - Leaving Cert DCG - Question A-4 - 2021
Question A-4
The image below shows a modern house design which is based on intersecting prisms. The drawing shows the plan and incomplete elevation of a similar structure which ... show full transcript
Worked Solution & Example Answer:The image below shows a modern house design which is based on intersecting prisms - Leaving Cert DCG - Question A-4 - 2021
Step 1
Complete the elevation, showing all lines of interpretation.
Answer
(i) Location of penetration points on horizontal edges of pentagonal prism:
The horizontal edges of the pentagonal prism will be marked at the corresponding elevation lines to show the points of intersection with the rectangular prism. Accurate measurements need to be taken from the plan view to ensure precision.
(ii) Use of appropriate method to determine points on sloping surfaces:
Utilize the method of auxiliary views if necessary to accurately project the slopes of the surfaces. This involves constructing vertical lines from key points on the sloping surfaces to locate their true positions.
(iii) Location of penetration points of edges of rectangular prism:
Identify the points where the edges of the rectangular prism intersect the pentagonal prism and denote these clearly in the elevation. This step is critical to illustrate the correct geometry of the intersection.
(iv) Joining of penetration points incl. hidden detail:
Once all the penetration points are established, join them to form lines that represent the visible edges of the intersecting solids. Include hidden lines where necessary to provide a complete picture of the shape.
(v) Completion of elevation incl. hidden detail:
Finalize the elevation drawing by ensuring all features, including hidden details, are clearly illustrated and labeled according to standard practice.
Step 2
Determine the true shape of the surface A.
Answer
(vi) Use of appropriate method to determine true shape:
To find the true shape of surface A, it’s essential to project points from the elevation to a horizontal plane. This step will help visualize the actual dimensions of surface A removed from the complexities of perspective.
(vii) Determining correct vertices:
Identify the vertices of the true shape by tracing back from the elevation. Use the previously calculated intersection points to ensure the shape's integrity and accuracy.
(viii) Draw correct true shape of surface A:
With the vertices established, sketch the true shape of surface A accurately, reflecting its actual dimensions and ensuring all angles and proportions are preserved.