I di d now for every sponsorplanet one shipyard ... 13colonies, so it is better to have 5 sponsorplanets from the homeplanet and the rest one sponsorplent, but there are four unsponsered, so you ned first to find a new planet for sponsoring

Has a exponential growth a growingfactor g  between  0 and 1  ( 0>g>1 ) then a lineair grow will grow faster then this exponential grow 
Has a exponential growth a growingfactor g  greater than 1  ( g> 1 ) then a lineair grow will grow slower then this exponential grow 

Is this a answer what can tribute in developing the colony rush in GC3 ? ..because it is loosly formulated

By pure math it can be confirmed.

We are talking now on population grow for GC3 ?

empty

That's false.  Exponential growth is only good if you have a lot of time or amount. 

In other words, a person with 6 colony ships by turn 6 will have 30 colonies by turn 30 easily, whereas a person who only manages 2 colony ships by that amount of time will only have 10-12 colonies.  

Well , given here that t (time ) goes from 0 to infinity ( x-axis )
Yes, it needs some time that the exponential grow gets a bigger y- value then  a lineair grow on the same time t  
There is at least one colony ship at the start,it can go colonizing on t = 0 ...what can i do on t = 0 to get a colony ship on t = 1 ? 

Change map settings to huge, abundant suns/abundant planets/abundant habitable planets.  

I am curious what makes youthink that there is a exponential grow of a quantity involved? 
Although i can get at least in 6 turns... 6 colonizers...i have played, but get 5 colonies in 15 turns..so something goes wrong here..i spend too much money..i could not upgrade my colonizers anymore and they become useless.

No , that is not the case here a troll or language barriere.. i don't understand how you came on this?..  give some seroius attention to understand how to expand with colonies as fast as possible

Can't say for marigoldran, but take him serious.. 

You are showing considerably more patience than I would have expected or would have been able to offer.  On behalf of janhardo and all those with serious 4X challenges, thanks.

I still don't agree with your advice.  It is a bit too one dimensional for my approach, but that is a totally different discussion.  It is keeping janhardo going and that is the true point.

The OP makes a valid point, and subsequent posts by anyone espousing their favourite strategy will not change things.

The Game has evolved hugely since GalCiv1, and set to do so even more as various parts of GalCiv3 make their first appearance in future builds. There needs to be a concerted effort to meet the OP's basic - very valid - point, if Stardock are to widen the ownership of the game still further. This is beyond trivial discussion about inexperienced players, "Silver Bullet" strategies et al - even further beyond nonsense put forward in ill disguised attempts at some showing their own "abilities" at the game.

I remain a big fan of Stardock and GalCiv3 - a huge one. However I am an increasingly worried one, because the built in flexibility and complexity of the game, is in great danger of becoming an impossible road block for Brand New Players to overcome.

Be carefull Brad ..... your Team's obvious skills in building this Brilliant Game are in danger of swamping it with so much choice and flexibility, Newbie Players will be swamped as though wading through a morass of options and strategies, it will be like a newcomer coming to London trying to workout what the hell the London Underground map actually is. The latter is surmountable ...... GalCiv is in danger of not being so for genuine newbies.

It would be sad if GalCiv Long Term foundered on the back of its own brilliance ......

After wading through five pages of commentary I have gained enlightenment.

@Janhardo

As Darkscis mentioned every strategy has its own specific requirements to succeed. The expansion strategy Marigoldran is trying to explain means you want to be what I call a hyper-expansion race. So in the race design you want to select those traits, skills and talents that improve population growth (on which  production/research/economic numbers are based). Expansion traits that increase speed, the amount you can fit into a ship, free stuff (like docks) and things of that nature are important considerations. You can take a reduction in some areas to get extra points to beef up the ones you need so you aren't limited to just 5 points. Marigoldran goes farther by selecting everything about planets to abundant which means more stars with more planets with a higher percentage being habitable. That gives you a lot more potential colonies before you bump into a neighbor. And setting the number of competing races low gives you even more space.

Lastly (finally, yeah, I know) he restarts the game until he has a universe that puts him in an advantageous starting position. Many do that from time to time. Then he uses what some call "exploits" to gain every slight advantage he can over the few AI in a huge, very roomy galaxy.

Nothing personal Marigoldran, but you don't seem to be very good at teaching. But that's okay, I know a number of otherwise intelligent people who don't possess that particular talent. You list a set of parameters for your strategy (rules?) that even when followed to the letter didn't work for someone else; you imply a lack of ability on your student's part -- and then, after four pages of back and forth you begin explaining things like the race selections, tech tree, galaxy parameters and any number of other things you left out of the "rules."

Janhardo has tried to reach the benchmarks you set and failed, in spite of following the rules you laid out, because he didn't set up his race and galaxy to be able to succeed using information you didn't provide or even hint at until others mentioned some of the things you set up to play. And even then you grudgingly impart them with an attitude again implying it is the fault of a new player to the game that they don't understand all the interconnected elements that make your strategy work.