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 1930ís 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.
(In reply to re(2): Finally, I see it.
Unfortunately the link offered by SteveH is no longer valid however the Steinmetz solid (which I now know ) is located at Wolfram and a rather neat drawing appears aabout halfway down that page.
Posted by brianjn
on 2009-11-09 21:49:15