Re: Illusions and impossible things :)

In article <6bJ...@tomh.demon.co.uk>, 
Tom Harvey <tom...@nospam.demon.co.uk> writes:
>In article <Sl3...@xemu.demon.co.uk>, Dave Bird---St Hippo of
>Augustine <dav...@xemu.demon.co.uk> writes
>>>>>              Y________
>>>>>              /\   .   \
>>>>>             /  \.......\
>>>>>            /    \(3).   \
>>>>>           /      \___.___\X
>>>>>           \      /       /
>>>>>         ___\    /   ____/___
>>>>>        /\   \  /   /\   .   \
>>>>>       /  \...\/___/  \.......\
>>>>>      /    \(1).   \   \(2).   \
>>>>>     /      \___.___\   \___.___\
>>>>>     \      /       /   /       /
>>>>>      \    /       /   /       /
>>>>>       \  /       /\  /       /
>>>>>        \/_______/  \/_______/ 'logicko'
>>>>>        Z
>>>>
>>>>what so impossible about this,
>>>>it looks like 3 cube
>>>>looks like cube 1 place on top of cube 2 cover a corner of cube2
>>>>and cube 3 place on top the side of it 
>>>>
>>>The bottom of cubes 1 and 2 are in line. The top of cube 1, however, is
>>>further back (being behind cube 3) than the top of cube 2, even though
>>>they appear to be balanced at the same angle.
>>
>>I cannot make head or tail of what you are saying. Probably because
>>your assignment of "top", "bottom", "front", "back" is unclear.
>
>Reading it again, I can see I haven't been very clear. I will try and
>explain myself below.
>
>>Let's look at the thing in the XY plane:
>>
>>                     X
>>                     |________________
>>               z=2.0/|       :       |z=2.0
>>                   / |       :       |            So, er,
>>             z=1.5/  |       :       |          what's the problem?
>>                 /'  |-------+-------|
>>           z=1.0/ : '|       :       |
>>                | :' |       :       |
>>                | '  |_______:_______|__________Y
>>        ________|': /       .        /z=2.0
>>  z=1.0/|       | :/........________/________
>>      / |       | /       /|        :        |z=1.5
>>z=0.5/  |.......|/_______/ |        :        |
>>    /: '|       :       :  |        :        |
>>z=0/ :' |       :       :  |........;........|
>>   | '  |       :       : '|        :        |
>>   |':  |_______:_______:' |        :        |
>>   | : /       .       /:  |        :        |
>>   | '/.......,......./ :  |________:________|z=1.5
>>   | /       .       /| : /        .         /
>>   |/_______._______/ | '/........,........./z=1.5
>>  /                   | /        .         /
>> Z                    |/________._________/z=0.5
>>                          
>
>No, you've changed the picture now. This one clearly is possible, the
>shape that the original poster was trying to represent (even though it
>became ambiguous when translated into ascii) wasn't. 
>
>You have placed the furthermost surfaces of blocks 1 and 2 on different
>planes, at z=0 and z=0.5. The origanal was supposed to have them both at
>z=0, making it impossible. Something like this:
>
>               ________   z=2.5
>              /\       \     \
>         z=2 /  \       \     \
>            /    \       \     \
>           /   3  \_     _\     \
>          /\      /\      /\   These should be in the same plane!
>     z=1 /_      /  \_     _\     \
>        /\      /   /\       \     \
>       /      \/__    \       \     \
>      /       /        \       \     \
> z=0 /      \/______\___\_______\    z=1
>     \      /       /   /       /
>      \    /                   /
>       \  /   1           2   /
>   z=0  \/_______/__\/_______/  z=0
>
>
>
>Is that a clearer explanation? ;-)

So you mean it is supposed to be like this---?


>>>>>               Y________
>>>>>              /\   .   \
>>>>>             /  \.......\
>>>>>            /    \(3).   \
>>>>>           /      \___.___\X
>>>>>           \      /\      /\
>>>>>         ___\    /  \____/__\
>>>>>        /\   \  /   /\   .   \
>>>>>       /  \...\/___/  \.......\
>>>>>      /    \(1).   \   \(2).   \
>>>>>     /      \___.___\   \___.___\
>>>>>     \      /       /   /       /
>>>>>      \    /       /   /       /
>>>>>       \  /       /\  /       /
>>>>>        \/_______/  \/_______/ 'logicko'
>>>>>        Z

Yes, if (2) and (3) are supposed to be at the same Z-height
[is this what you are saying?] then it is clearly impossible.

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