In order to obtain all the achievements, at least 2 playthroughs are needed since Dunce Cap and No Hints Needed! are opposite achievements.

The game is quite large and in order to learn the setup of the map and how to find your way through the maze of rooms, you will need time to explore, so I would recommend going for the speedrun achievement only after 1 full playthough. I would suggest doing the following:

First playthrough:

• Story-related achievements
  
• Collection achievements
  
• Playthrough achievements: Dunce Cap

Second playthrough:

• Playthrough achievements: Speedrunner, No Hints Needed! Jail Break

Temple Researcher
Gain access to the alien temple.


Monumental Discovery
Reach the alien monument beneath the temple.


New Day
Complete the game.




Thorough Investigator
Scan all the data nodes in the game.


Paint by Numbers
Photograph each glyph corresponding to a number.


Investigator
Photograph each of the researchers.


Final Sequence
Photograph each glyph corresponding to the final activation sequence.




No Hints Needed!
Complete the game without using any hints.


Dunce Cap
Use way more hints than you should in order to complete the game.
How to: You need to use more than 10(?) hints. (I obtained it with 14 hints)

Speedrunner
Beat the game in under forty-five minutes.


How to: I created a separate guide for this achievement, since a lot of locations can be skipped. But before starting this playthrough, make sure you reset your game time and number of hints (please see the Known issues section from this guide, #4)



Jail Break
I'm bustin' out of here!


How to: This achievement unlocks when a player attempts to escape the temple area, usually by climbing on top of the walls. There's an invisible barrier along the walls that keeps players from wandering aimlessly into the terrain, but colliding with the barrier also triggers the achievement.

Note: the achievements will pop up only after you quit the game to desktop.

Pick up the Holo Man device - on the PC table in the middle of the room.
Data Node: "Irene Mandrake Log Entry 1" - on the right side of the door, on a table
Data Node: "Irene Mandrake Log Entry 68" - left side of the door, on the spaceship
Data Node: "Nadia Richards - Hangar Keycode" - upper floor

Open the hangar door.
Access code for the door: 54875 (the code can be found by reading the "Nadia Richards" - Hangar Keycode entry)

Data Node: "Hiro Iwata - Log Entry 128" - on the corridor behind the Hangar door, right side
Data Node: "Nadia Richards - Log Entry 107" - on the left side of the door to the Housing Area

Data Node: "Irene Mandrake Log Entry 197" - left side of the wall
Data Node: "Nadia Richards - Door Pneumonic" - in a compartment of the wall opposite of the Offices door

Data Node: "Hiro's Room" - on the right wall
Data Node: "Hiro Iwata - Log Entry 202" - on the top floor, between 3 stacked boxes
Go down in the area before the Control Room, turn on te flashlight and you'll see 1 page on a bench with a hint for Hiro's Room

Tyler Wilson access code (the solution can be found using the following 2 hints: the RGB diagram from the Offices room and the color sequence on the top floor above Irene's office):
_R_R_RR_R_RR
G_GG_G_G_GG_
B_B_B_BB_B_B

Data Node: "Tyler - Room Notes" - on the right side of the PC
Data Node: "Tyler Wilson - Log Entry 17" - in a compartment on the wall

Access code: 4786528922 (the code can be found on a paper under the bed from Tyler's Room)
Data Node: "Irene Mandrake Log Entry 198" - on the table
Data Node: "William Mandrake Log Entry 200" - on the bench of the other table
Data Node: "William & Irene - Room Notes" - under the command center, in front of the chair

Access code: 14 5 7 4 12 (the code can be found by solving the equations from the paper found in the area with the access door to the Control , given that the second number is provided in the "Hiro Iwata - Log Entry 202"; in addition, the last number is mention in "Nadia Richards - Log Entry 192")
Data Node: "Hiro - Room Notes" - next to the PC
Data Node: "Hiro Iwata - Log Entry 184" - on the bed

Access code: A7 C4 D8 B4 A3 B1 C2 (the code can be found by reading the "Nadia Richards - Door Pneumonic" and interpreting some of the words as numbers)
Data Node: "Nadia Richards - Log Entry 192" - on the bed
Data Node: "Nadia Richards - Research Findings" - next to the PC
Data Node: "Nadia - Room Notes" - on the wall next to the table

Access code: 0 4 4 7 9 10 7 4 4 2 2 0 the music piece that can be found in Irene's Room (if you open the record menu while being in her room in the corner with the PC, you can hear it)
Data Node: "Irene - Office Notes" - near the table

William's Control Room key: 40351 (the code can be found by reading the "William & Irene - Room Notes" entry)
Nadia's Control Room key: 41293 (the code can be found by reading the "Nadia - Room Notes" entry)
Irene's Control Room key: 29307 (the code can be found by reading the "Irene - Office Notes" entry)
Hiro's Control Room key: 84620 (the code can be found by reading the "Hiro - Room Notes" entry)
Tyler's Control Room key: 67854 (the code can be found by reading the "Tyler - Room Notes" entry)
Data Node: "Willam Mandrake - Lab Computer Password" - right corner of the room
Press on the console in the middle of the room in order to open the Research Lab.

In order to open the door inside the lab (that goes to the main server room), you need to stand close to the panel located on the left side of the door and turn on the flashlight.
Lab Computer Password: 947362531937 (the code can be found by reading the "Willam Mandrake - Lab Computer Password" entry).
This will open a hatch in Irene's room which will grant you access to a message recording by William (you need to turn on the record menu in order to be able to hear it).

Go down the newly opened hatch and record William's message.

Go back to the research Lab and play William's message in order to open the door to the outside world (you need to be close to this door).

Glyph 1: at the entrance of the courtyard, on the wall
Data Node: "Hiro Iwata - Log Entry 149" - bottom right corner of the courtyard
Data Node: "William Mandrake - Log Entry 192" - top left corner of the courtyard
Glyph 2: left wall of the courtyard

Access code:

Glyph 3: right wall of the room
Glyph 4: left wall of the room
Data Node: "William Mandrake - Log Entry 49" - on the right wall

Access code: If we count from 1-8 the tiles that we can step on, the correct order is:
2 7 4 8 6 3 5 1
(the code can be found by stepping on the stones in the order indicated by the melody from the alien singing stone)
Press the button. This will open the door to the Disco floor room.
Glyph 5: wall with the entrance
Glyph 6: wall with the entrance to the other room
Data Node: "Irene Mandrake - Log Entry 12" - in front of the other room's entrance

The glyphs in the Compass rose room indicate the direction in which you have to step: if you are standing on a glyph that has the symbol N on it, then you have to step up; if you are standing on a glyph that has the symbol E on it, then you have to step right etc.


Data Node: "Hiro Iwata - Linguistic Notes" - on the floor, right side of the statue
Data Node: "Nadia Richards - Log Entry 82" - on the floor, left side of the statue
Glyph 7: right wall
Glyph 8: on the floor

Access code: 2 5 3 8 6 3 1 4 (the code can be found by listening to the stone in the Singing Stone Room and associating a number to each glyph, counting the number of circles from the square symbol)
Panel:


Data Node: "William Mandrake - Log Entry 134" - in the top corner of the inner court

Access code:
Data Node: "Irene Mandrake - Log Entry 132" - in the singing stone room

Access code: from Right to left, top to bottom: 2, 3, 4
Data Node: "Tyler Wilson - Log Entry 67" - right side of the room
The button from the center of the room will open all remaining doors.

Data Node: "Nadia Richards - Log Entry 130" - right side of the room
Button Glyph 1: on the left wall

Button Glyph 2: on the right wall

Button Glyph 3: on the back wall
Data node: "Irene Mandrake - Log Entry 176" - middle of the room

Button Glyph 4: on the right wall

Button Glyph 5: on the back wall
Final Glyph 1: on the right wall

Final Glyph 2: on the right wall
Data Node: "William Mandrake - Log Entry 193" - left side of the room

Next you will have to visit every room that contains a glyph with a button under it and press the glyphs in the numeric order: 01234 (Room 7, Room 1, Room 8, Room 6, Room 3)
This will open the door to the Alien Tower.

Final Glyph 3
Final Glyph 4
Data Node: "Irene Mandrake - To whomever finds this" - in front of the control panels
Data Node: "Nadia Richards - Log Entry 203" - behind the control panels
In order to access the underground tunnel, you will need to rotate the tower in 3 different ways; each will grant you access to 1 button on top of the tower.
First combination: 2 x Middle Button, 1x Right button
Second combination: from the previous setup, just press 1 x Right button
Third combination: from the previous setup, just press 2 x Middle Button and 3 x Right button
The rotated towers should look like this:

Final Glyph 5 - On the wall with the entrance
Press the orb that will open the door to the next room.

Person 1: Tyler Wilson
Person 2: Irene Mandrake
Person 3: William Mandrake
Data Node: "Final Testament of Tyler Wilson"
Data Node: "Final Testament of Irene Mandrake"
Data Node: "Final Testament of William Mandrake"
Press the orb next to Irene.

Final Glyph 6 - leftmost of the 3 corridors that lead to mini rooms

Access code: 5726, having Middle position of the lever on the control panel

Acess: Lower position of the lever on the control panel
Final Glyph 7 - right after the gate, on the wall with the gate

Data Node: "Nadia Richards - Monument Notes"

Data Node: "Nadia Richards - Artwork Notes" - on the floor, on the left side of the statue
Use the directions sequences to step on the 4x4 disco floor (there is only one possible starting location, considering these sequences):
SSSEEENN
SWSSWNNW

While looking at the disco floor when standing on the south symbol and numbering the tiles as follows, the correct sequence is:

Final Glyph 8 - right wall behind the obelisks
If the buttons are numbered from 1 to 4, left to right, press the following sequence: 2 3 4 1 1 4 3 2 (the code is given by the purple crystal before the disco floor rooml)

Final Glyph 9 - under the ramp
The final setup should look like this (view from the entrance):


Final Glyph 10 - keep taking left and eventually you'll reach it
In order to find your way out, keep taking rights

Press all the buttons from the room. Each of them will light up a sphere above the crystals. However, one of these spheres is broken (you'll have to light the crystal in another way).
Go on the scene to the rightmost crystal and use the flashlight on it. The door to the second gallery will open.

Record the song of the crystal and go back through the room with the crystals on a scene to the Room with 4 crystals (second)

Data Node: "Hiro Iwata - Search Status"
Having your flashlight on, illuminate the crystals (numbered 1-4 from left to right) in the following order: 32323214
In the next room, you'll need to find the correct sequence of actions in order to lift all the walls.
Solution: Press the following buttons: Left, Left, Down, Top
Final Glyph 11 - on the wall with the door

Go back through the room with the crystals on a scene and through the second gallery to the room with the platforms;

Data Node: : "Hiro Iwata - Archive Notes" - on the floor, right in front of the entrance and a bit to the left
You will have to move to the box in the top left corner of the room and collect the "Decryption Key".
Person 4: Nadia Richards
Person 5: Hiro Iwata
Data Node: "Final testament of Nadia Richards"
Data Node: "Final testament of Hiro Iwata"
Data Node: "Decryption Key"
Data Node: "Nadia Richards - Log Entry 204" - top right corner of the room
Data Node: "Hiro Iwata - No Regrets" - In one of the bigger cells, around 2 rows before the entrance to the room with the small green crystals (it's on the row that has small cells on the left); it's 2 rows before the small cell with the final glyph.
Final Glyph 12 - on the row with the small cells that has bigger cells on its right, the cell containing the glyph is located at the far away wall, opposite of this room's entrance.

Data Node: "Nadia Richards - Obelisk Notes" - on the floor, next to the crystals
Data Node: "Hiro Iwata - Activation Sequence" - on the floor, near the VAT room

Go back outside to the temple and activate the crystals that can be found in each of the 4 corners of the temple (click on the tile that leans on the corners).
Go back inside to the room with the small green crystals; you'll see that a new door is opened.

You need to slide the panel through the 3 frames and copy the images to the black button panels.
The final code should look like this:
Press the button on the console. This will open the door to the next room.

You need to slide the panel through the magenta, cyan and yellow frames and merge the tiles that are lit from these panels into the the black button panel. Note that according to the color wheel:
Magenta + Yellow = Red
Magenta + Cyan = Blue
Cyan + Yellow = Green
Magenta + Yellow + Cyan = White
The final code should look like this:
Press the button on the console. This will open the door to the VAT room.

Enter the final activation sequence.
On the temple walls, there are 12 yellow glyphs consisting of 2 symbols: the left one is the final sequence glyph and the right one is it's order in the sequence.
If we consider the buttons numbered as follows, the sequence is: 8 4 2 2 1 6 7 9 3 4 8 5

1. There is currently an issue with loading the game on systems with multiple displays. As a workaround, you need to change the resolution settings to the native resolution every time you launch the game (you can change it back to your desired resolution after the savegame loads). For me, these settings worked every time:
Resolution: 1920x1080
Graphics Quality: Fastest
Fullscreen: Off
vSync Enabled: Off
(also see this thread)

2. In order to fix the problem with running the game in fullscreen on a non-native resolution, please refer to this thread.

3. Tabbing out and back makes the game unable to re-lock the mouse inside the screen.
In order to re-lock it, you need to press the L key (see this thread).

4. Starting a new savegame will take over the data from your previous savegame (for example, if you had 3 Hints in the first playthrough, then a new playthough will have automatically 3 Hints, even though in the second playthrough no hints were used; the same goes for the time).
In order to fix this until a new patch for the game is released, you need to do the following:
- begin a new playthrough - this will create a new folder (gameSave1 for example); quit the game
- navigate to the savegame folder
C:\Users\%USERNAME%\AppData\LocalLow\Whipstitch Games\Monumental\data\gameSave1
- open the meta.sav file with a text editor
- set the first 2 values from the file to 0
- save the file
- restart the game, load your savegame and enjoy playing!
NOTE: the devs were notified of this issue and are currently working on fixing it.