Overview
-Estimated achievement difficulty: 9/10
-Offline: 12/12 (200)
-Online: 0 (0)
-Approximate amount of time to 200: 5 (for experienced players) - 50 Hours
-Minimum number of playthroughs needed: 100
-Number of missable achievements: None
-Glitched achievements: None
-Do cheat codes disable achievements?: No Cheats

Introduction
First, you need to play in each of the 3 modes to get the achievements. Don't get scared about the 100 playthroughs because you can do it by losing on purpose in the timed mode.  This game is all about patience, you need to think about every move you do before you do it. With this road map I’ll try to explain how to do the Black Flower, since when you get this achievement you should have done the others by this time.

Play the Game
What you have to do is a combo that makes 5 black pearls at once and then do another black pearl.
To do the 5 black pearl combo you need 16 silver pearls(the best game I did, I had 10 silver in level one, if you have around 8 you're good to go), the most important thing is that you put your silver pearls in a vertical line with at least 1 space off each other so that there are no accidents like shown in this image:



Then, when you have all 16 silver pearls(this is the real patience test, now you must think about every single move you make or you can ruin it all in just a single move) set it up like this:



And then like this:



When you have this, just turn the silver pearl shown with the red arrow on the picture and you'll get 5 black pearls.
Then the easiest part, make another 6 silver pearls and with it, another black pearl for the achievement.
I personally like to do it this way:



(Note that this technique was not created by me but by my friend "Achiever TM", I just made this road map) 

[x360a would like to thank Gilberto for this Road Map]