For background please use the two links which are the bold and blue words.
A solid whose plan view and front and side elevations resembled a multiplication symbol (x) bounded by a circle may be viewed here.
It is the third on that page.
The object can be created by imposing 3 cylinders on a cube in each of the x, y and z dimensions.
If the edges of the cube are of unit length, What is the volume of this object?
How mundane (as being simple) a solution can we get?
(In reply to
re(2): Checking my solution by JLo)
Thanks JLo.
I had tried all sorts of ways to dissect this object. had visualised breaking it down into the 48 'darts' that Joel has described.
I also realised that it could be considered to be a cube adorned with 6 square vaulted buttons.
I was about to begin trying to devise some geo-trig way to analyse the triangle pieces of these vaults (their curved surfaces being part of cylinders) when Larry emailed me with a link from Cee-Anne, the one that Richard has passed on to us.
When posted the puzzle that lead to this no-one came up with 'Steinmetz'. Had they done so, then I would not have posted this.
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Posted by brianjn
on 2006-11-05 16:59:43 |
re(3): Checking my solution
