Full list of all 32 Idle Spiral achievements. It takes around 200 hours to unlock all of the achievements in the base game on Windows.
The base game contains 22 achievements, and there is 1 DLC pack containing 10 achievements.
Upgrade k 10000 times
Upgrade g 2000 times
Upgrade f 2000 times
Upgrade d 3000 times
Upgrade c 4000 times
Upgrade a 10000 times
Upgrade e 2000 times
Upgrade b 5000 times
Defeat PI
Reach T15
Reach T10
Defeat Beta
Reach T5
Reach T2
Defeat Alpha
z reaches 100
Do Tornado Prestige for the first time
Defeat Kappa
Do Prestige for the first time
Defeat training
Do omega Prestige for the first time
r reaches 1K
Get “Unprecedented Number”
Get “The Soul of Gauss”
Reach 1 Understanding level of Archimedes' spiral
Reach the attack speed cap
Reach T50
Reach 1 Understanding level of Pythagorean theorem
Reach T27
Reach T90
Get “The secret of a triangle”
Get “The secret of the Universe”