eye in the sky
eye in the sky (class 3 ship)
This recon vessel is equipped with sophisticated surveilance technology, that scans the area for foreign fleet signatures like the deep scan probe. It is only fully functioning in interaction with a pyramid-device at your base. It is exposed a strong radiation that interferes with every cloaking technology, so a fleet with it cannot be cloaked and on battle contact it will disintegrate

Attack/life: 0/100
Manpower: 200

Researchtime: 2 h
Buildingtime: 12 h

Needed research:

Battle details:
(battle engine syntax: f)
  —> Forum Topic about this ship
admin: discussion pls in the topic of the pyramid device:
deenky: How do I find the surface area of this hexagonal pyramid? It is a regular hexagonal pyramid. One edge of the base is 5.5cm, and one lateral edge is 9cm. I am wondering how I would find the slant height of one face and the area of the base.
admin: nice bot, i will leave this interesting question in here ;)
colinthecorgi: maybe I am a bit slow, but where does it say that the pyramid device is hexagonal?

Or do you just want the math for a hexagonal pyramid?
colinthecorgi: A pyramid with a hexagonal base. The edge length of a hexagonal pyramid of height h is a special case of the formula for a regular n-gonal pyramid with n=6, given by

e=sqrt(h*h+a*a), where a is the length of a bottom edge

The volume of the hexagonal prism is


Weisstein, Eric W. "Hexagonal Pyramid." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/HexagonalPyramid.html

Finding the bottom surface seems rather easy, no?

Since it is a symmetrical pyramid, all corner angles must be the same, in this case 120 degrees. So you can split the bottom surface into 6 identical triangles with all sides 5.5 by just drawing a line from all corners into the centre, no? So the corner angles must be 60 degrees for all the 6 separate triangles. Then is simple trig after that.
fungu: selfdestruction???

is it nessesary ?

it is already very expensive!
admin: sure, otherwise it would make the deep scan probes obsolete ;)
 view all ships with details