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articles: 10
tactics » mana-magic

As illustrated in the picture below, each spell has an Area of Effect (AoE) which can be imagined as a circle with a radius. Samurai and Shield for example have a radius of 9 tiles. Across all spells there exist only eight unique radii [? 6; 7; 8; 9; 16; 18; 24; 32]. If not unlimited, priests have a cast range of 24 tiles. Effects spread from the center of the AoE. Normally, if the same spell is casted twice in a row, mana is wasted and the effect does not stack. To develop a better idea about the ingame size of an AoE, it is useful to know that a small tower has a radius of 32 tiles and a bow has a range of 15 tiles.

Romans cost1 AoE2 effect
Convert3 60 7 converts 10 priests, soldiers, thieves, geos, pios
Vanish5 20 8 halves and rounds down the amount of ressources in all tiles inside the AoE
Iron to Gold 15 6 converts up to 40 bars of iron to gold
Godly Gift 10 - randomly casts 8 different types of goods with a very high amount of possible sets
Frighten4 15 9 halves the damage of 25 soldiers for 25 seconds in allied territory
Grow 8 8 reduces time to maturity of grain, rice and wine to a possible minimum of 3 minutes
Grass 4 8 converts desert to grass
Eye 2 32 allows vision for 20 seconds
Egyptians
Punish3 15 7 converts 10 bows into pios
Ban3 20 16 moves 20 enemy priests, soldiers, thieves, geos, pios anywhere
Strenghten4 25 9 doubles the damage of 25 soldiers for 25 seconds outside allied territory
Godly Gift 10 - randomly casts 8 different types of goods with a very high amount of possible sets
Fire 20 6 torches all trees inside the AoE and spreads only to directly neighbouring trees
Fish to Meat 10 6 converts up to 40 fish to meat
Swamp 15 6 converts swamp to grass
Desert 20 8 converts gras to desert
Asians
Call3 10 9 moves 20 allied priests, soldiers, thieves, geos, pios to the priest
Samurai4 15 9 doubles the attacking speed and increases damage by 33% of 25 swords for 25 sec
Shield4 20 9 protects 25 soldiers for 25 seconds by reducing enemy damage by 33%
Stone to Iron 25 6 converts up to 40 stone to iron
Godly Gift 10 - randomly casts 8 different types goods with a very high amount of possible sets
Fishes5 10 8 randomly casts between 1 and 4 fishes separately in every tile inside the AoE
Stones 12 16 casts stones in the unblocked parts of the AoE
Melt 10 8 melts snow
Amazons
Cursed Arrows4 20 7 protects 25 soldiers for 25 seconds by reducing enemy arrow damage by 100%
Freeze4 15 8 stops movement and attack of 25 soldiers for 15 seconds
Gold to Stone 10 8 converts up to 40 bars of gold to stone
Godly Gift 10 - randomly casts 8 different types of goods with a very high amount of possible sets
Send Goods 15 6 moves upto 48 goods anywhere
Call Goods 2 6 moves upto 48 goods from own territory to the priest
Trees 10 18 casts trees in the unblocked parts of the AoE
Reveal 30 - allows vision of the whole map for 20 seconds
1 initial mana cost for casting the first time
2 radius of the Area of Effect
3 cannot be casted on soldiers belonging to a tower
4 can be casted on soldiers on top of the tower, at the door or attemping to enter the tower
5 can be stacked

For all spells, mana costs progress in the same fashion: The next spell costs 1.25 times the present one and the resulting number is always rounded up. For example, the initial Cursed Arrows costs 20 mana, the second 1.25 x 20 = 25 mana, the third 1.25 x 25 = 31.25 ? 32 mana etc. Overall, there are only ten unique initial mana costs and the following table lists the progression of the sum of costs. For example, five times Stone to Iron (initially 25 mana) costs 210 mana in total.

quantity sum of costs
1 60 30 25 20 15 12 10 8 4 2
2 135 68 57 45 34 27 23 18 9 5
3 229 116 97 77 58 46 40 31 16 9
4 347 176 147 117 88 70 62 48 25 14
5 495 251 210 167 126 100 90 70 37 21
6 680 345 289 230 174 138 125 98 52 30
7 912 463 388 309 234 186 169 133 71 42

Note that rounding up in the fashion explained above leads to a rapid increase in cost for cheap spells such as Eye (initially two mana), but loses relevance for expensive spells and becomes negligible for larger numbers. That helps to approximate the long run of a hypothetical game under the assumption that players only cast the same spell or the same set of spells. It turns out that the amount of spells or set of spells one player is constantly ahead (a) for each mana production ratio (r) approximately converges to a=log1.25(r). For example, consider a 1v1 romans and it happened to be that you have five small temples while your opponent has four small temples, so that a=log1.25(5/4)=1, which means you are constantly one convert ahead. But if you have four temples and your opponent has three temples resulting in a=log1.25(4/3)?1.3, you are constantly one convert and sometimes two converts ahead.

All cultures have the same consumption time in their small temples, but Brewery, Destillery and Meadmaker differ in their production times.

Small Temple Brewery, Destillery, Meadmaker
Romans ~35.7 sec/bottle -
Egyptians ~35.7 sec/bottle ~34.2 sec/barrel
Asians1 ~35.7 sec/bottle ~36.9 sec/barrel
Amazons ~35.7 sec/bottle ~19.8 sec/barrel

1every barrel equals two mana

Level Sum of Mana
1. lvl2 10
2. lvl2 30
3. lvl2 60
1. lvl3 110
2. lvl3 170
3. lvl3 200

author: Suma with amazing help from Incinerate, Hirtenknogger, sennahoj, TSK, Mike, Sense, blazingstar, Xch4nGe & Feuerkelch.

author: Mana & Magic



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