Researches

Players can upgrade most things they control in the game through the Researches interface. A limited branch of research (using green papers and stars earned in levels to purchase) is available from the beginning.

Research costs Green Papers, Resources, and occasionally time, level "stars", or other researches having completed. Most researches have a number of levels, each of which will be more expensive and cost more advanced resources than the previous level. The border around the research will indicate:

• Purple - Can afford to purchase the next level
• Gray - Not unlocked due to prerequisites not being met
• Green - Cannot afford the next level, currently above level 0 (has been changed to Cyan/Teal as of 1.9.0)
• Gold - Maximum level purchased already

In Endless Research, additional new researches not available from regular research are available and many existing researches maximum level are significantly increased. Most researches beyond the standard research level requires Bit Dust. They significantly improve towers, stats, and gameplay compared to regular research tree due to their huge maximum level limit. Endless Research tree is accessible if the player changes the difficulty to Endless Mode in main menu.

Researches exclusive to Endless Research or leveled beyond Regular Max level cannot be used in Normal Mode. If a research exceeds the Regular research max level, it will be set to the regular research max level.

Research Screen (format changed after more recent game updates, but the basic interface is the same)

1: Current resources

Shows what current resources you have to spend:

1. Unopened items. Click here to open them. This is items you have earned in levels, or Boxes you have purchased, but not yet opened
2. Number of Accelerators. These are earned from defeating certain enemies within levels, finishing certain quests, or opening purple/orange boxes. They are used to complete timed researches early, upgrade custom map tiles, and to replenish Mining energy.
3. Amount of each Resource ( Scalar, Vector, Matrix, Tensor or Infiar) you own. Only resources you have already unlocked in research are shown here. These are earned from mining source tiles, completing quests or opening boxes. They are used to do research or purchase Abilities.
4. Green Papers. Click here to access the Shop. These are earned by completing levels or quests. They are used to purchase upgrades or boxes from the shop.

2: Research Effects

Shows what the selected research is currently doing (if applicable) and how that will change if another level is purchased.

3: Research Requirements

The cost of buying the next level of the research. This can include:

• Previous research having been completed. In some cases there is a small number shown on the line (eg "6/7"). This means that the linked research must have been researched up to the specified level to unlock this one.
• Other requirements. In some cases specified things need to have happened to purchase this research. For instance in the picture, 1 million damage must have been dealt using the sniper tower.
• Resources cost. The quantity of Scalar, Vector, Matrix, Tensor, Infiar or Bit Dust required.
• Green Paper cost.
• Stars cost (upgrades on the left side of the research tree)
• Research levels completed (total amount of research player unlocked (eg "2.18K/2.25K"). This is the requirement for the Developer mode.

4: Research Timer

Time needed for research (can be skipped with accelerators)

However this was removed and replaced with research ticket on version 1.x.x

5: General Research Section

This section allows research into:

• Unlock new resource types, Miners, and miner upgrades
  • Scalar is unlocked with the first upgrade
  • Vector is unlocked with the 4th upgrade
  • Matrix is unlocked with the 7th upgrade
  • Tensor is unlocked with the 13th upgrade
  • Infiar is unlocked with the 18th upgrade
  • Bit Dust becomes available as a reward in Endless mode.
• Unlock and upgrade Abilities
• Unlock new levels
• Unlock map editor for Custom maps with the 10th upgrade
• Unlock and upgrade Modifiers

Ability Research

Fireball

Throw burning projectiles on your enemies

Prerequisite Research - Index Mapping unlocked.

Normal Max Level: 10, Endless Max Level: 15

Level	Maximum Count	Resource cost
1	1	1,000 Green Papers	1
2	2	1,100 Green Papers	3
3	3	1,900 Green Papers	150 Scalar	200 Vector
4	4	1,800 Green Papers	350 Scalar	7
5	5	3,800 Green Papers	250 Vector	100 Matrix
6	6	4,400 Green Papers	800 Scalar	11
7	7	5,500 Green Papers	350 Matrix	350 Tensor	1
8	8	9,000 Green Papers	500 Vector	1,200 Tensor	20
9	9	12,000 Green Papers	800 Matrix	400 Infiar	1
10	10	15,000 Green Papers	1,200 Infiar	26	1
- The higher the level, the more Fireballs can be used in one game.

Fireball Damage

Ability Damage

Prerequisite Research - Level 3 Fireball or higher

Normal Max Level: 10, Endless Max Level: 50

Level	Damage Boost	Resource cost
1	+2%	1,100 Green Papers	1
2	+4%	1,100 Green Papers	3
3	+7%	1,800 Green Papers	200 Scalar	50 Vector
4	+10%	2,000 Green Papers	600 Scalar	7
5	+14%	4,400 Green Papers	350 Vector	250 Matrix	1
6	+18%	6,000 Green Papers	900 Scalar	10
7	+23%	8,000 Green Papers	500 Matrix	400 Tensor	2
8	+28%	11,000 Green Papers	800 Vector	1,100 Tensor	22
9	+33%	16,000 Green Papers	800 Matrix	350 Infiar	1
10	+40%	18,000 Green Papers	1,000 Infiar	32	2
-The damage boost is additive in which it can be raised up to 105% MDPS

Fire Damage

Fire damage of ability

Prerequisite Research - Level 5 Fireball Damage or higher

Normal Max Level: 5, Endless Max Level: 30

Level	Damage Boost	Resource cost
1	+2%	800 Green Papers	200 Scalar	200 Vector	2
2	+4%	2,000 Green Papers	400 Scalar	350 Matrix	4
3	+7%	4,500 Green Papers	400 Vector	400 Tensor	6
4	+10%	7,500 Green Papers	150 Infiar	9	1
5	+15%	12,000 Green Papers	500 Infiar	12	1
-The burn damage boost is additive in which it can be raised up to 40% MDPS per second

Blizzard

Freeze everything

Prerequisite Research - Brute Force Search unlocked.

Normal Max Level: 10, Endless Max Level: 15

Level	Maximum Count	Resource cost
1	1	1,100 Green Papers	1
2	2	1,000 Green Papers	100 Scalar	3
3	3	2,000 Green Papers	100 Scalar	250 Vector
4	4	1,900 Green Papers	400 Scalar	7
5	5	3,600 Green Papers	200 Vector	150 Matrix
6	6	4,600 Green Papers	900 Scalar	12
7	7	5,000 Green Papers	400 Matrix	400 Tensor	1
8	8	8,500 Green Papers	600 Vector	1,100 Tensor	21
9	9	13,000 Green Papers	700 Matrix	450 Infiar	1
10	10	14,000 Green Papers	1,100 Infiar	27	1
- The higher the level, the more Blizzard can be used in one game.

Blizzard Duration

Ability Duration

Prerequisite Research - Level 3 Blizzard or higher

Normal Max Level: 10, Endless Max Level: 50

Level	Bonus Duration	Resource cost
1	+0.3s	800 Green Papers
2	+0.6s	1,300 Green Papers
3	+0.9s	1,500 Green Papers	150 Scalar	3
4	+1.2s	1,800 Green Papers	1,000 Scalar	250 Vector
5	+1.6s	3,000 Green Papers	200 Matrix	8
6	+2.0s	4,200 Green Papers	600 Vector	350 Matrix
7	+2.4s	5,500 Green Papers	350 Tensor	8	1
8	+2.9s	6,000 Green Papers	500 Tensor	250 Infiar	18
9	+3.4s	10,500 Green Papers	500 Matrix	800 Tensor	1
10	+4.0s	12,000 Green Papers	1,000 Infiar	29	1
-The blizzard boost is additive in which it can be raised up to 10 seconds.

Thunder

Hit random enemies with electricity

Prerequisite Research - Hashing unlocked.

Normal Max Level: 10, Endless Max Level: 15

Level	Maximum Count	Resource cost
1	1	1,000 Green Papers	1
2	2	1,300 Green Papers	3
3	3	2,000 Green Papers	100 Scalar	250 Vector
4	4	1,800 Green Papers	450 Scalar	7
5	5	4,000 Green Papers	250 Vector	100 Matrix
6	6	5,000 Green Papers	800 Scalar	11
7	7	5,500 Green Papers	350 Matrix	350 Tensor	1
8	8	9,500 Green Papers	700 Vector	1,000 Tensor	19
9	9	12,000 Green Papers	800 Matrix	500 Infiar	1
10	10	18,000 Green Papers	1,200 Infiar	28	1
- The higher the level, the more Thunder can be used in one game.

Thunder Damage

Ability damage

Prerequisite Research - Level 3 Thunder

Normal Max Level: 10, Endless Max Level: 50

Level	Damage Boost	Resource cost
1	+3%	1,300 Green Papers	1
2	+6%	1,300 Green Papers	3
3	+9%	2,200 Green Papers	250 Scalar	50 Vector
4	+12%	2,000 Green Papers	600 Scalar	8
5	+15%	5,000 Green Papers	450 Vector	350 Matrix	1
6	+18%	6,000 Green Papers	1,100 Scalar	12
7	+22%	8,500 Green Papers	500 Matrix	400 Tensor	2
8	+26%	13,000 Green Papers	1,000 Vector	1,300 Tensor	25
9	+30%	17,000 Green Papers	1,000 Matrix	450 Infiar	1
10	+35%	21,000 Green Papers	1,200 Infiar	36	2
-The damage boost is additive in which it can be raised up to 135% MDPS

Thunder Charges count

Number of charges

Prerequisite Research - Level 3 Thunder Damage or higher

Normal Max Level: 5, Endless Max Level: 25

Level	Extra enemies hit	Resource cost
1	+1	700 Green Papers	400 Scalar	2
2	+2	1,500 Green Papers	600 Vector	4
3	+3	4,000 Green Papers	800 Matrix	7	1
4	+4	9,000 Green Papers	1,000 Tensor	10	1
5	+6	14,000 Green Papers	1,200 Infiar	14	1
-The charges count is additive which can increase the charges on up to 14 random enemies

Windstorm

Push enemies back towards portals

Prerequisite Research - Cuckoo Hashing unlocked.

Normal Max Level: 10, Endless Max Level: 15

Level	Maximum Count	Resource cost
1	1	900 Green Papers	1
2	2	1,000 Green Papers	3
3	3	2,000 Green Papers	200 Scalar	150 Vector
4	4	1,700 Green Papers	400 Scalar	7
5	5	3,600 Green Papers	300 Vector	150 Matrix
6	6	4,600 Green Papers	700 Scalar	12
7	7	6,000 Green Papers	300 Matrix	400 Tensor	1
8	8	8,500 Green Papers	600 Vector	1,100 Tensor	19
9	9	12,000 Green Papers	700 Matrix	450 Infiar	1
10	10	14,000 Green Papers	1,100 Infiar	26	1
- The higher the level, the more Windstorm can be used in one game.

Windstorm Duration

Ability duration

Prerequisite Research - Level 3 Windstorm

Normal Max Level: 10, Endless Max Level: 50

Level	Duration Bonus	Resource cost
1	+0.1s	1,000 Green Papers	1
2	+0.2s	1,000 Green Papers	3
3	+0.3s	1,800 Green Papers	200 Scalar	150 Vector
4	+0.4s	1,800 Green Papers	500 Scalar	7
5	+0.5s	3,000 Green Papers	250 Vector	200 Matrix
6	+0.6s	4,800 Green Papers	1,000 Scalar	13
7	+0.8s	5,500 Green Papers	450 Matrix	250 Tensor	1
8	+1.0s	10,000 Green Papers	450 Vector	800 Tensor	20
9	+1.2s	14,000 Green Papers	700 Matrix	400 Infiar	1
10	+1.5s	17,000 Green Papers	1,000 Infiar	27	1
-The windstorm duration boost is additive in which it can be raised up to 4.5 seconds

Story Research

Story research are researches that are required in order to be able to continue progressing in the level. They usually do not cost a lot and provide a big boost to a specific stat or unlock a certain feature. All story researches are one-time upgrades meaning they are maxed out at level 1

Scalar - As simple as two

Prerequisite - Opened Level 2.1

Level	Resource cost
1	300 Green Papers

Index Mapping - 217 is false in no time

Prerequisite - Scalar unlocked, Total damage dealt to enemies - 150k

Level	Unlocks	Resource cost
1	MDPS Counter	60 Scalar

Brute force search - Wheatley was not that close

Prerequisite - Index Mapping unlocked, Opened Level 2.2

Level	Boost	Resource cost
1	+5% Experience Multiplier	200 Scalar

Vector - Very familiar and with direction

Prerequisite - Brute Force search unlocked, Opened Level 2.3

Level	Boost	Resource cost
1	+10% Bonus Paper for all purchase	250 Scalar
- Only boosts the amount of Research Papers purchased through In-App Purchases

Bubble sort - soda style

Prerequisite - Vector unlocked

Level	Unlocks	Resource cost
1	Unlocks Map Editor	50 Vector

Binary search - found or not

Prerequisite - Bubble sort unlocked, Opened Level 2.4

Level	Boost	Resource cost
1	Bonus PWR per tower LVL till Lvl 10 +0.2%	150 Vector
For each tower experience level, PWR is increased by +0.2% until Experience Level is 10

Matrix - There's still no spoon

Prerequisite - Binary search unlocked, Opened Level 3.1

Level	Boost	Resource cost
1	+10% Bonus Paper for all purchase	250 Vector
- Only boosts the amount of Research Papers purchased through In-App Purchases

Hashing - designed for reposts

Prerequisite - Matrix unlocked

Level	Boost	Resource cost
1	Bonus PWR per tower LVL after Lvl 10 +0.5%	50 Matrix
For each tower experience level past Level 10, PWR is increased by +0.5%

Merge sort - Not for 40625173

Prerequisite - Hashing unlocked

Level	Boost	Resource cost
1	Passive XP at max upgrade level +0.1/s	130 Matrix

Cuckoo Hashing - #no_bird_suffered

Prerequisite - Merge Sort unlocked

Level	Boost	Resource cost
1	Towers Upgrade Price -2%	240 Matrix

Caching - Hidden Treasures

Prerequisite - Cuckoo Hashing unlocked, Opened Level 3.4

Level	Boost	Resource cost
1	Rotation Speed +5%	250 Vector	100 Matrix

Rainbow table - So colorful and tabular

Prerequisite - Caching unlocked

Level	Boost	Resource cost
1	Projectile Speed +5%	250 Vector	200 Matrix

Tensor - Multidimensional thing

Prerequisite - Rainbow Table unlocked, Opened Level 4.1

Level	Boost	Resource cost
1	+10% Bonus Paper for all purchase	400 Scalar	300 Matrix
- Only boosts the amount of Research Papers purchased through In-App Purchases

Quicksort - Sort, but Quick

Prerequisite - Tensor unlocked

Level	Boost	Resource cost
1	Green Papers Bonus +5%	60 Tensor

Dijkstras algorithm - Aka SPF

Prerequisite - Quicksort unlocked

Level	Boost	Resource cost
1	Wave Interval +0.5s	180 Tensor

Timsort - Fastest?..

Prerequisite - Dijkstras algorithm unlocked, Opened Level 4.5

Level	Boost	Resource cost
1	Range +5%	350 Tensor

A Star - Very popular

Prerequisite - Timsort unlocked

Level	Boost	Resource cost
1	Wave Interval +2s	350 Matrix	350 Tensor

Infiar - Data generating neural net

Prerequisite - A Star unlocked, Opened Level 5.1

Level	Boost	Resource cost
1	+10% Bonus Paper for all purchase	400 Vector	400 Tensor
- Only boosts the amount of Research Papers purchased through In-App Purchases

LM Algorithm - For non-linear problems

Prerequisite - Infiar unlocked

Level	Boost	Resource cost
1	Attack speed +5%	150 Infiar

SCG Algorithm - Let's learn

Prerequisite - LM Algorithm unlocked, Opened Level 5.3

Level	Boost	Resource cost
1	Damage +5%	500 Scalar	250 Infiar

MTRNN Model - Synthetic brain

Prerequisite - SCG Algorithm unlocked

Level	Boost		Resource cost
1	Starting Money +10	Bonus papers from all purchases +10%	500 Tensor	500 Infiar
- Only boosts the amount of Research Papers purchased through In-App Purchases

LSTM Network - Time travels with forecasts

Prerequisite - MTRNN Model unlocked, Opened Level 6.1

Level	Boost
1	Cores XP generation speed +5%	1,000 Infiar
-Increases XP generation per second from Cores by 5%

6: Global Upgrade Section

This section allows research into:

• Global Tower upgrades, for example projectile speed and damage. These apply to every tower built. Stacks additively with other Tower exclusive upgrade that features the same upgrades as these Global upgrades.
• Global game upgrades, eg starting money and health and increased green paper earning.
• Global Miner upgrade, reducing deployment time.

Projectile speed - Tiles per second

Prerequisite Research - none

Normal Max Level: 10, Endless Max Level: 30

Level	Projectile Speed Boost	Resource cost
1	+2%	1,000 Green Papers
2	+4%	1,400 Green Papers	3
3	+6%	2,400 Green Papers	250 Scalar
4	+8%	2,800 Green Papers	350 Vector	4
5	+11%	4,400 Green Papers	250 Matrix	8	1
6	+14%	4,800 Green Papers	1,300 Scalar	400 Matrix	12
7	+17%	6,000 Green Papers	700 Vector	250 Tensor	2
8	+21%	8,500 Green Papers	1,400 Tensor	300 Infiar	25
9	+25%	12,000 Green Papers	900 Matrix	350 Infiar	1
10	+30%	18,000 Green Papers	1,400 Infiar	35	1

Starting coins - Number of coins available at the start of the game

Prerequisite Research - Level 1 Projectile Speed or higher

Normal Max Level: 20, Endless Max Level: 100

Level	Starting Coins Bonus	Resource cost
1	+5	750 Green Papers
2	+10	800 Green Papers
3	+15	950 Green Papers	1
4	+20	1,050 Green Papers	200 Scalar	1
5	+25	1,200 Green Papers	300 Scalar	2
6	+30	1,450 Green Papers	450 Scalar	2
7	+35	1,600 Green Papers	600 Scalar	200 Vector	3
8	+40	1,700 Green Papers	850 Scalar	350 Vector	4
9	+45	1,800 Green Papers	500 Vector	5
10	+51	1,900 Green Papers	700 Vector	200 Matrix	6
11	+57	2,200 Green Papers	900 Vector	350 Matrix	8
12	+64	2,350 Green Papers	550 Matrix	10
13	+71	2,400 Green Papers	750 Matrix	200 Tensor	12
14	+78	5,600 Green Papers	900 Matrix	350 Tensor	14
15	+85	7,700 Green Papers	550 Tensor	17
16	+92	10,200 Green Papers	750 Tensor	300 Infiar	20
17	+99	13,600 Green Papers	1,000 Tensor	450 Infiar	23
18	+107	17,000 Green Papers	600 Infiar	27
19	+115	22,200 Green Papers	800 Infiar	31
20	+125	28,500 Green Papers	1,000 Infiar	35
The default starting coins is 200

Starting health - Amount of health available at the start of game

Prerequisite Research - Level 3 Projectile Speed or higher

Normal Max Level: 20, Endless Max Level: 100

Level	Starting health Boost	Resource cost
1	+1	800 Green Papers	1
2	+3	1,900 Green Papers	200 Scalar
3	+5	1,800 Green Papers	250 Vector	4
4	+7	2,400 Green Papers	250 Scalar	700 Vector
5	+9	4,500 Green Papers	700 Scalar	200 Matrix	10
6	+11	4,800 Green Papers	1,000 Vector	14
7	+13	7,500 Green Papers	500 Matrix	450 Tensor	1
8	+15	13,000 Green Papers	400 Infiar	22
9	+17	15,000 Green Papers	700 Matrix	1,100 Tensor	1
10	+20	21,000 Green Papers	1,800 Infiar	35	1
-The default starting health is 20.

Rotation Speed - Degrees per second

Prerequisite Research - Level 1 Passive XP at max upgrade level or higher.

Normal Max Level: 10, Endless Max Level: 50

Level	Rotation Speed	Resource cost
1	+1%	1,100 Green Papers
2	+2%	1,800 Green Papers	3
3	+3%	2,000 Green Papers	200 Scalar
4	+4%	3,400 Green Papers	200 Vector	5	1
5	+5%	4,000 Green Papers	700 Vector	200 Matrix	12
6	+6%	6,000 Green Papers	1,600 Scalar	400 Matrix	16
7	+8%	6,500 Green Papers	800 Vector	500 Tensor	1
8	+10%	8,500 Green Papers	1,000 Tensor	150 Infiar	28
9	+12%	15,000 Green Papers	900 Matrix	600 Infiar	1
10	+15%	20,000 Green Papers	1,000 Infiar	40	1

Forced wave bonus - Bonus coins for calling next enemy wave

Prerequisite Research - Level 1 Rotation Speed or higher.

Normal Max Level: 10, Endless Max Level: 100

Level	Forced wave bonus	Resource cost
1	+1%	1,500 Green Papers	2
2	+2%	1,600 Green Papers	350 Scalar
3	+3%	3,400 Green Papers	450 Scalar	250 Vector	5
4	+4%	3,600 Green Papers	800 Scalar	13
5	+5%	5,500 Green Papers	400 Vector	150 Matrix	1
6	+6%	8,000 Green Papers	800 Scalar	17	2
7	+8%	10,000 Green Papers	700 Matrix	700 Tensor	1
8	+10%	17,000 Green Papers	1,000 Vector	2,000 Tensor	33
9	+12%	22,000 Green Papers	1,200 Matrix	800 Infiar	2
10	+15%	24,000 Green Papers	1,700 Infiar	39	1
-Only boosts coins from calling next wave early.

Damage - Damage dealt to enemies

Prerequisite Research - Level 3 Rotation Speed or higher

Normal Max Level: 10, Endless Max Level: 100

Level	Damage Boost	Resource cost
1	+2%	1,400 Green Papers , 2
2	+4%	1,700 Green Papers, 300 Scalar
3	+6%	3,200 Green Papers, 400 Scalar, 200 Vector, 5
4	+8%	3,400 Green Papers, 700 Scalar, 12
5	+11%	6,000 Green Papers, 500 Vector, 200 Matrix, 1
6	+14%	7,500 Green Papers ,900 Scalar, 18 , 2
7	+17%	9,500 Green Papers, 600 Matrix, 600 Tensor, 1
8	+21%	16,000 Green Papers,1,100 Vector, 1,900 Tensor, 32
9	+25%	23,000 Green Papers, 1,100 Matrix, 700 Infiar, 2
10	+30%	23,000 Green Papers ,1,800 Infiar, 40 , 1

Range - Range in tiles

Prerequisite Research - Level 3 Forced Wave Bonus or higher

Normal Max Level: 10, Endless Max Level: 25

Level	Range Boost	Resource cost
1	+0.5%	1,500 Green Papers , 2
2	+1%	1,700 Green Papers, 350 Scalar
3	+1.5%	3,600 Green Papers, 400 Scalar, 150 Vector, 5
4	+2.5%	3,600 Green Papers, 700 Scalar, 12
5	+3.5%	7,000 Green Papers, 500 Vector, 250 Matrix, 1
6	+4.5%	8,000 Green Papers ,1,100 Scalar, 20, 2
7	+5.5%	10,000 Green Papers, 600 Matrix, 600 Tensor, 1
8	+6.5%	18,000 Green Papers,1,400 Vector, 2,400 Tensor, 36
9	+8%	23,000 Green Papers, 1,400 Matrix, 900 Infiar, 2
10	+10%	27,000 Green Papers ,2,200 Infiar, 42 , 1

Attack Speed - Shots per second

Prerequisite Research - Level 3 Starting Money

Normal Max Level: 10, Endless Max Level: 40

Level	Attack Speed Boost	Resource cost
1	+2%	1,000 Green Papers
2	+4%	1,500 Green Papers	500 Scalar
3	+6%	2,500 Green Papers	350 Vector	3
4	+9%	3,000 Green Papers	1,200 Scalar	450 Vector
5	+12%	4,600 Green Papers	250 Matrix	9	1
6	+15%	7,500 Green Papers	700 Vector	900 Matrix
7	+18%	9,000 Green Papers	350 Tensor	14	2
8	+21%	11,000 Green Papers	600 Tensor	400 Infiar	22
9	+25%	15,000 Green Papers	900 Matrix	1,000 Infiar	1
10	+30%	20,000 Green Papers	1,700 Infiar	30	1

Tower sell refund - Number of coins returned for sold towers

Prerequisite Research - Level 1 Experience Multiplier or higher.

Normal Max Level: 10, Endless Max Level: 15

Level	Towers sell refund	Resource cost
1	+1.0%	800 Green Papers , 1
2	+2.0%	1,400 Green Papers, 100 Scalar
3	+3.0%	1,900 Green Papers, 250 Vector, 4
4	+4.0%	2,400 Green Papers, 250 Scalar, 350 Vector
5	+5.0%	4,400 Green Papers, 700 Scalar, 200 Matrix, 7
6	+6.0%	4,400 Green Papers ,1,000 Vector, 12
7	+8.0%	5,500 Green Papers, 350 Matrix, 400 Tensor
8	+10.0%	9,500 Green Papers, 450 Infiar, 19
9	+12.0%	12,000 Green Papers, 800 Matrix, 900 Tensor,1
10	+15.0%	15,000 Green Papers ,1,500 Infiar, 31 , 1
- Default sell cost is equal to 50% of the tower's gold spent on it

Upgrade Price - Price of tower upgrades in coins

Prerequisite Research - Level 3 Range or higher.

Normal Max Level: 10, Endless Max Level: 15

Level	Upgrade Price	Resource cost
1	-0.3%	1,000 Green Papers , 1
2	-0.6%	1,600 Green Papers, 350 Scalar
3	-1.0%	2,000 Green Papers, 200 Vector, 5
4	-1.4%	3,600 Green Papers, 500 Scalar, 350 Vector
5	-1.8%	5,500 Green Papers, 300 Matrix, 8
6	-2.2%	8,000 Green Papers ,1,400 Scalar, 600 Matrix
7	-2.7%	10,000 Green Papers, 1,100 Vector, 350 Tensor, 24
8	-3.3%	16,000 Green Papers, 600 Infiar, 31 , 1
9	-4.1%	25,000 Green Papers, 800 Matrix, 1,900 Tensor, 1
10	-5.0%	30,000 Green Papers ,2,000 Infiar, 43 , 2
-Stacks additively with other upgrade cost. To see the upgrade cost of each tower, visit each tower's statistics.

Passive XP at max upgrade level - Amount of XP tower gets per second on max upgrade level

Prerequisite Research - Level 1 Starting Money or higher.

Normal Max Level: 10, Endless Max Level: 15

Level	Passive XP at max upgrade level	Resource cost
1	+0.05/s	1,200 Green Papers	3
2	+0.10/s	2,400 Green Papers	100 Scalar
3	+0.15/s	3,200 Green Papers	200 Vector	6
4	+0.20/s	4,000 Green Papers	300 Scalar	900 Vector	1
5	+0.25/s	5,500 Green Papers	800 Scalar	300 Matrix	11
6	+0.30/s	6,500 Green Papers	1,400 Vector	18	2
7	+0.35/s	9,000 Green Papers	600 Matrix	500 Tensor	1
8	+0.40/s	15,000 Green Papers	600 Infiar	25
9	+0.45/s	15,000 Green Papers	1,200 Matrix	1,400 Tensor	2
10	+0.50/s	22,000 Green Papers	1,700 Infiar	40	1
-If not at max level, the formula of XP/second goes by (XP rate / 10 * tower upgrade level)

Experience Multiplier - Each XP point is multiplied by this

Prerequisite Research - Level 1 forced wave or higher.

Normal Max Level: 10, Endless Max Level: 100

Level	Experience Multiplier	Resource cost
1	+2%	900 Green Papers ,1
2	+4%	1,800 Green Papers, 250 Scalar
3	+7%	1,700 Green Papers, 300 Vector, 4
4	+10%	2,600 Green Papers, 300 Scalar, 800 Vector
5	+13%	4,400 Green Papers, 600 Scalar, 250 Matrix, 9
6	+17%	5,000 Green Papers ,900 Vector , 15
7	+21%	8,000 Green Papers, 400 Matrix, 500 Tensor, 1
8	+26%	12,000 Green Papers, 450 Tensor, 21
9	+32%	14,000 Green Papers, 600 Matrix, 1,200 Tensor, 1
10	+40%	22,000 Green Papers ,1,700 Infiar, 34 , 1

Installation Time - Amount of time required to install the miner

Prerequisite Research - Level 3 Sell Refund or higher.

Normal Max Level: 5, Endless Max Level: 5

Level	Installation Time reduction	Resource cost
1	-1 seconds	800 Green Papers	300 Scalar	3
2	-3 seconds	1,250 Green Papers	500 Vector	7	1
3	-5 seconds	3,500 Green Papers	700 Matrix	12	1
4	-7 seconds	10,000 Green Papers	1,000 Tensor	18	1
5	-10 seconds	23,000 Green Papers	1,500 Infiar	25	1
The base installation time can be found on Miners .

Wave interval - Delay before each next enemy wave

Prerequisite Research - Level 3 Sell Refund or higher.

Normal Max Level: 5, Endless Max Level: 30

Level	Wave interval	Resource cost
1	+1.5s	1,200 Green Papers	400 Scalar	4
2	+3.0s	2,000 Green Papers	700 Vector	8	1
3	+5.0s	4,500 Green Papers	1,000 Matrix	16	1
4	+7.0s	12,000 Green Papers	1,500 Tensor	24	1
5	+10.0s	30,000 Green Papers	2,500 Infiar	32	1
The default timer before next wave automatically begins in Normal/Endless mode is 15 seconds

Green papers bonus- Bonus Green Papers from each game

Prerequisite Research - Level 3 Wave Interval and Level 3 Installation Time or higher

Normal Max Level: 10, Endless Max Level: 100

Level	Green papers bonus	Resource cost
1	+1%	200 Scalar
2	+3%	500 Scalar	2
3	+6%	200 Vector	4
4	+10%	800 Scalar	300 Matrix	1
5	+15%	500 Vector	500 Matrix	13
6	+21%	1,200 Scalar	300 Tensor	2
7	+29%	1,100 Vector	800 Tensor	25
8	+38%	1,200 Matrix	400 Infiar	1
9	+48%	1,500 Tensor	40	2
10	+60%	2,100 Infiar	51	1

7: Specified Tower Sections

Each unlocked tower has it's own section allowing upgrades to that tower to:

• Increase each common and unique characteristics
• Increase the maximum XP and upgrade levels
• Increase XP generation
• Reduce purchase cost
• Increase starting XP level
• Increase the tower generation. These are expensive upgrades that require you have have dealt a certain amount of damage with the tower. They award a significant increase the specified characteristics.
• To see tower specific research, visit Towers and then select a specific tower.

Prestige Section

This section allows research into:

• Unlock the feature to sell custom maps and reset quests and get a refund in prestige ticket
• Gain an additional quest slot
• Increase loot rarity
• Increase Green paper bonus
• Increase both quest difficulty and quest prizes
• Factory (Still in development)

Trivia

• Towers First, Second, and Third generation researches used to require research time, where players have to wait a specific amount of time in order to finish the research or pay accelerators to instantly finish them. With the introduction to blueprints, research time has been removed and replaced with blueprint requirements instead.
  • Although unobtainable, Developer mode is the only research that requires 2 minutes to research
• Research tree used to be locked until the player has access to Level 2.1.
• All Story Researches names are reference to coding/programming
  • Scalar, Vector, Matrix, Tensor are N-dimensional array of data.
    • The description of Matrix is a reference to the "Matrix" film, where a kid says to the protagonist "There is no spoon."
  • Most of the researches are widely-known algorithms which follow a set of rules which are used for calculations or problem solving.