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Finished: 08 AM Wed 03 May 17 UTC
Private Dr. Hennessy
18 hours /phase
Pot: 50 D - Autumn, 2012, Finished
Fall of the American Empire IV, Draw-Size Scoring
1 excused missed turn
Game won by Red Leader Hornbeek (0 D X)
31 Mar 17 UTC Spring, 1999: When bassett gets stuck as the liberals
31 Mar 17 UTC Spring, 1999: And Eric wants to deport his own citizens
31 Mar 17 UTC Spring, 1999: Grady is at home, and I'm in bertil'/ motherland
31 Mar 17 UTC Spring, 1999: nah bro imma build the wall and mexico will pay for it
31 Mar 17 UTC Spring, 1999: We can divide it into two congruent triangles using diagonal d_1. Since the diagonals of a rhombus are perpendicular to each other, we can use d_1 as base and one half of d_2 as the height of the upper triangle (Why?). If we let A_T be the area of the upper triangle, then, calculating its area, we have

A_T = \frac{1}{2}bh

A_T = \frac{1}{}2(d_1)(\frac{1}{2}d_2)

A_T= \frac{1}{4}(d_1)(d_2).

Now, we only calculated for the area of the upper triangle. Since the area of the rhombus is twice the area of the upper triangle, we multiply A_T by 2. That is,

A = 2A_T

A = 2(\frac{1}{4}d_1d_2)

A = \frac{1}{2}d_1d_2.

Method 2

The second method is to enclose the rhombus with a rectangle. This can be done by drawing lines parallel to the diagonals and passing through the vertices (see figure below).
31 Mar 17 UTC Spring, 1999: Bertil is in the Great white north
31 Mar 17 UTC Spring, 1999: We can divide it into two congruent triangles using diagonal d_1. Since the diagonals of a rhombus are perpendicular to each other, we can use d_1 as base and one half of d_2 as the height of the upper triangle (Why?). If we let A_T be the area of the upper triangle, then, calculating its area, we have

A_T = \frac{1}{2}bh

A_T = \frac{1}{}2(d_1)(\frac{1}{2}d_2)

A_T= \frac{1}{4}(d_1)(d_2).

Now, we only calculated for the area of the upper triangle. Since the area of the rhombus is twice the area of the upper triangle, we multiply A_T by 2. That is,

A = 2A_T

A = 2(\frac{1}{4}d_1d_2)

A = \frac{1}{2}d_1d_2.

Method 2

The second method is to enclose the rhombus with a rectangle. This can be done by drawing lines parallel to the diagonals and passing through the vertices (see figure below).
31 Mar 17 UTC Spring, 1999: Someone tell Jacob and Gish to move
31 Mar 17 UTC Autumn, 1999: Infertile Bertile go
31 Mar 17 UTC Autumn, 1999: Infertile Bertile go
31 Mar 17 UTC Autumn, 1999: Hank took an L, he vacated two of his three supply centers that he needed to stay in to get the builds
31 Mar 17 UTC Autumn, 1999: Wèn bertil is obviously going for Manitoba, but doesn't realize that the heartland can build in Minnesota
31 Mar 17 UTC Autumn, 1999: When sam puts an accent on the e in wen and also spells wen wrong and doesn't realize i dont care if he builds in minnisota
31 Mar 17 UTC Autumn, 1999: and u spelled minnesota wrong bro
31 Mar 17 UTC Autumn, 1999: Wèn bertil is obviously going for Manitoba, but doesn't realize that the heartland can build in Minnesota
31 Mar 17 UTC Autumn, 1999: Welp, Mr. Bertil, you shan't be getting too many more builds
31 Mar 17 UTC Autumn, 1999: yeah. Ha
31 Mar 17 UTC Autumn, 1999: Well sam, ur cuba so jokes on you
31 Mar 17 UTC Autumn, 1999: dude cuba is good,
jokes on u bertil
u wont be getting builds
31 Mar 17 UTC Autumn, 1999: Interesting how this game is going
31 Mar 17 UTC Autumn, 1999: yeah
31 Mar 17 UTC Autumn, 1999: yeah
31 Mar 17 UTC Autumn, 1999: Bc and cali aren't fighting, greenland uncontested,
Yutacan taken by Texas right off the bat
And florida leaves all three home centers open and then doesn't get attacked by cuba
31 Mar 17 UTC Autumn, 1999: lol. Im here just like ha
31 Mar 17 UTC Autumn, 1999: move texas
01 Apr 17 UTC Autumn, 2000: Hm
01 Apr 17 UTC Autumn, 2000: Lol
01 Apr 17 UTC Autumn, 2000: Lol
02 Apr 17 UTC Spring, 2001: Strangest bc and cali moves I've seen before
02 Apr 17 UTC Spring, 2001: Shhhh don't tell Cuba
04 Apr 17 UTC Spring, 2002: Mcjuggernigget
04 Apr 17 UTC Autumn, 2002: Mcjuggernigget
04 Apr 17 UTC Autumn, 2002: Mcjuggernigget
04 Apr 17 UTC Autumn, 2002: Mcjuggernigget
04 Apr 17 UTC Autumn, 2002: Mcjuggernigget
04 Apr 17 UTC Autumn, 2002: Go bois
07 Apr 17 UTC Autumn, 2003: Someone text Jgrode
08 Apr 17 UTC Spring, 2004: Go jason
24 Apr 17 UTC Autumn, 2009: Once Cuba Peru and California are gone I'm down to draw 3 way
26 Apr 17 UTC Autumn, 2010: I hope you both band together and fuck Eric.
27 Apr 17 UTC Autumn, 2010: Good bye feggits
27 Apr 17 UTC Spring, 2011: Well this is an ideal time to draw
I have smax as a meat shield so i wont be out probably for at least the next 6 turns
28 Apr 17 UTC Spring, 2011: I'm not drawing with you
28 Apr 17 UTC Spring, 2011: Quite straightforward :)
28 Apr 17 UTC Spring, 2011: Sorry but u have 3 supply's I have 26
28 Apr 17 UTC Spring, 2011: Yes but Its going to be long and hard to get rid of me
28 Apr 17 UTC Spring, 2011: Well then
28 Apr 17 UTC Spring, 2011: Oh great um British Columbia just NMR ed out or left
28 Apr 17 UTC Spring, 2011: Well gg
29 Apr 17 UTC Autumn, 2011: Congrats on your solo Grady

Start Backward Open large map Forward End

Florida
Won. Bet: 5 D, won: 50 D
36 supply-centers, 28 units
Mexico
emanwingnut (100 D)
Survived. Bet: 5 D
15 supply-centers, 13 units
Peru
Jacob63831 (160 D)
Survived. Bet: 5 D
4 supply-centers, 4 units
British-Columbia
VI Lenin (100 D)
Resigned. Bet: 5 D
3 supply-centers, 6 units
Texas
Jgrode (100 D)
Defeated. Bet: 5 D
California
420thReich (100 D)
Defeated. Bet: 5 D
Quebec
Defeated. Bet: 5 D
New-York
Twichell (0 D X)
Defeated. Bet: 5 D
Heartland
Defeated. Bet: 5 D
Cuba
Defeated. Bet: 5 D
Civil Disorders
General Smax (0 D X)Cuba (Autumn, 2010) with 2 centres.
JangelTheGreat (100 D)Quebec (Spring, 2008) with 1 centres.
VI Lenin (100 D)British-Columbia (Spring, 2011) with 10 centres.
Jgrode (100 D)Texas (Spring, 2004) with 2 centres.
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