The generation of our idea
Recently, there have some news about buildings and planes. Due to this reason, we have
generated this project idea. We have heard many tragedies about America, we don’t want
these happen again therefore we only concern about the planes lifting and landing safety.
It is not difficult to observe that there has a famous building------Bank of China in our
project. As we know, the building of Bank of China won many construction and designing
prizes, therefore it can presenting Hong Kong. Based on those reasons, we create this
building and put it in our project.
One of our group members is willing to build the highest building in Hong Kong. So we
make his dream come true in our project. Because of this course make his dream come true,
so he named that building be MA4527.
There have two lifts besides the building MA4527, which is his dream too. He was
dreaming to stay inside the lift and viewing the beautiful night view of Hong Kong. On the
top of the building, there has a helicopter pad as well. He promise us that he will apply the
helicopter license and drive us to that building.
At the side of the building MA4527, there has an Andy Lau’s poster. We all are his fans,
so we add this recently poster of Andy Lau on the building. It can say that this building is our
dream building. Besides viewing the attraction at the lifts, we can also view the airport at the
observing towers. We can observe all the planes lifting and landing at those towers.
This is a busy airport; those airplanes keep landing and lifting from times to times.
Observing those airplanes carefully, you will find that those wheels are rotating. Besides,
every airplane had assigned a unique number. Moreover, there still have an observing plane.
Last but not the least, we place some special indication lights along the runway. Those
lights have flash motion, for better effect it needed to look them closely.
The operation of our project
We separate our job into two parts, the first part is ground and the second part is sky.

Ground:
The list of the items on the ground:




Bank of China
The MA4527 building (including two lifts)
The red building
Two observing towers

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
Some flashing lights along the runway
Balustrades
Trees
Sky:
The list of the items in the sky:


Five planes continue lifting and landing
One observing plane fly around the airport
The calculation of the shadow:

Planes:
The shadow of the plane is formed by two ellipses, the equations is as follow:
x2
z2

1
0.652 1.52
x2
( z  0.15) 2

1
0.12 2
0.42 2

Trees
The shadow of the trees is formed by circle; the equation is as follow:
x 2  z 2  0.8 2

Observing tower
Jointing eight points will form the shadow of the tower, the points are as follow:
(-0.7071,0,1), (0.7071,0,1), (1,0, 0.7071), (1,0,-0.7071), (0.7071,0,-1), (-0.7071,0,-1), (-1,0,0.7071), (-1,0, 0.7071)
The center of the towers: (17,0,-6.5),(-17,0,-6.5)

Balustrades
Jointing twelve points will form the shadow of the Balustrade, the method is the same as
observing tower.
We collect several points from the above equations and then use Matlab to calculate the
projection points of all items.
The following is Matlab function:

The projection function:
function w = shadow(x, y, z)
p=[x y z];
e1=[1 0 0];
e2=[0 0 1];
e=cross(e1,e2);
b=[0 0 0];
u1=dot((p-b),e1);
u2=dot((p-b),e2);
w=[u1,0,u2];

The transform function:
function t = tra(x, y, z, b1,b2,b3)
% b = (b1,b2,b3) translational matrix
x1=x+b1;
y1=y+b2;
z1=z+b3;
t=[x1,y1,z1];