On Tue, 02 Apr 2002 03:39:11 -0600, David F. wrote:

> On Mon, 01 Apr 2002 21:53:25 -0600, Xplo Eristotle wrote:
> 
>> Okay, this is driving me nuts. I have a bunch of 4 x .5 x 1 boxes which
>> are stacked corner to corner in a stair pattern. Given their layout, I
>> thought/assumed that they make a 30 degree angle with the ground (a
>> plane), but when I added another box on the side and rotated it up 30
>> degrees, it didn't line up with the blocks!
>> 
>> I'm stumped. Barring some kind of bug, I can't imagine why I'm having
>> this problem; the math isn't particularly complicated here. Can anyone
>> help me with this? Code follows:
>> 
>> 
> <snip>
> 
>> -Xplo
> 
> ok, one of you math geniuses can correct me if I'm wrong here, but I
> think your problem is that the boxes do not form a 30 degree angle with
> the ground...
> 
> taking a corss-section from the side view, you essentially are stacking
> .5 x 1, and let's place the first one so the bottom left corner is at
> the origin, like so:
>  
>   |
>   |
>   |   __
>   |  |  |
>   |__|__|
>   |  |
>   |  |
> --------------------
> 
> ok, the upper right corner of the second box is at (1,2), which gives
> you a triange with sides of length 1, 2, sqrt(5).  Manipulating the
> pythagorean theorem, you get something similar to the following:
> 1=sqrt((1/sqrt(5))^2+(2/sqrt(5))^2).  So on the unit circle, you have an
> x value of 1/sqrt(5), and a y value of 2/sqrt(5), and acos(1/sqrt(5)) is
> approximately equal to 63.435.  I haven't tried this in your code, so
> I'm not sure if this will work, but I'm pretty sure I didn't make any
> mistakes.  Though, you never know at 3:30 in the morning.  Hope this
> helps!
> 


oops... jsut saw everyone's response in p.b.i, though I am still curious
if this is logically correct....

-- 

David
smuchrusher <at> ameritech <dot> net
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