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general help no idea but i guesss this is right place ?

can some one help me count the volume of an irregular tetrahedron
i found this but i dont understand (the bold text)

Let:
u′ = v² + w² - U²
v′ = w² + u² - V²
w′ = u² + v² - W²
Now:
volume = 1⁄12 × √(4u²v²w² - u²u′² - v²v′² - w²w′² + u′v′w′)

can some one explane/translate/rewrite this ?
or you can do a calculator in darkbasic only (code)

i know + - X / and raise^2 but what is all small sign/dots say ???

√ = ?
′ = ?
v²v′² = ? (v^2 + ′ ^2 = ??????

if you dont know what i mean see here and you maybe know what i mean
http://zobayer.blogspot.com/2009/11/volume-of-irregular-tetrahedron.html
Last edited by SPIDER,
Beetle Racer
Location: SE
 
What's not to understand? Your just multiplying the squares of some of those numbers, taking the sum/difference, the square root, and dividing the result by 12.

volume = 1⁄12 × √(4u²v²w² - u²u′² - v²v′² - w²w′² + u′v′w′)

{[(4*(u^2)*(v^2)*(w^2) - (u^2)*(u'^2) - (v^2)*(v'^2) - (w^2)*(w'^2) + (u')*(v')*(w')]^(1/2)} / 12

This is offtopic btw, but the move function doesn't work yet :p
Last edited by Bucky,
Sports Saloon Racer
Location: US
 
wow that help thanks alot Bucky but what is ' mean in the (u'^2)
`^2 = '' 8-|

i cant do u + ^2 =))

aha u` = A
never saw that they was seperated

Let:
u′ = v² + w² - U²
v′ = w² + u² - V²
w′ = u² + v² - W²

Let:
A = v² + w² - U²
B = w² + u² - V²
C = u² + v² - W²
Last edited by SPIDER,
Beetle Racer
Location: SE
 
u' or "u prime" is the result of the expression defined in your first post.

You want to evaluate that expression, and plug in that value for u' in the big formula. You'll do the same for v' and w'. It's known as u', but it's really it's own value. It has some relationship with u, but it isn't u, so it's called u'.

Does that help?
Sports Saloon Racer
Location: US
 
yes

but 1⁄12 × √ (65)
1/12 x square rote

aha i think i got it now when i read it :p

1/12 * (sqrt of 16) just an example

1 /12 x 4 = .3 is that right :d
Last edited by SPIDER,
Beetle Racer
Location: SE
 
Looks good. I don't have the original u v and w, so I can't check it..
Sports Saloon Racer
Location: US
 
Soo, you guys need this in your trackbuilding because? :d
Last edited by Tuta,
· · · – – – · · ·
Location: SE
 
If I could move it to offtopic, I would. Right now MrA and Forzyy are the only ones with that power, and I already put in the request.
Sports Saloon Racer
Location: US
 
Bucky says:
If I could move it to offtopic, I would. Right now MrA and Forzyy are the only ones with that power, and I already put in the request.

oh, I actually thought it had osmething to do with tm :$ :$
· · · – – – · · ·
Location: SE
 
Why would you want to calculate the volume of an irregular tetrahedron for TM? =p
Sports Saloon Racer
Location: US
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