The discipline of Draughting/Drafting usually has exercises requiring the presentation of 3 elevations of an object; aerial or plan view, front view and side or end view. A standard house brick would be 3 rectangles drawn in relation to its dimensions.
I understand that somewhere through the 1930’s a German architect proposed a drawing for a solid object which many deemed impossible, but I have a lovely brass model that invalidates those claims.
The challenge was: Given one drawing that represents all three elevations  Create the object!
Examples: A square is a cube. A circle represents a sphere but a circle crossed with a ' + ' sign might be a beach ball with circles around its 'x,y,z' circumferences; like an orange cut into 8.
NOW, this object in question is represented by a circle crossed by an 'X' or multiplication sign.
MY CHALLENGE is twofold:
1. What does this object look like? Describe as many of its properties as possible.
2. How might you create it as a demonstration in, say, 2 or 3 minutes? I suggest a firm but pliable medium like children's 'playdough' and a tool like a very simple kitchen utensil would reasonably create an approximation of this solid.
Sometimes it just takes knowing that it can be done, to do it. Again taking Owl's general approach: this solution is much simpler than what I was trying before. Just take a cylinder of diameter d (perhaps using playdough and a circular cookie cutter). The hight must be at least d. Lay the cylinder on its side and slice down throught the center with the same cookie cutter. Slice one more time (orthoganally to the other two).
Now, by definition we see a circle exterior when viewed from any side. In addition, The edges of the other circles make an "X" pattern from the side.
I've tried to make it with playdough, but unfortunately the stuff squashes when I try the second and third cuts.

Posted by SteveH
on 20041112 17:40:54 