====== Mana and Magic ====== ==== Intuition ==== Each spell has an Area of Effect (AoE), which can be imagined as a circle with a radius. As illustrated in the picture below, the effect of spells such as The Samurai Sword and Ch'ih-Yu's Shield reaches a radius of 9 tiles. Across all spells, there exist only nine unique radii for AoEs [-> 6; 7; 8; 9; 16; 18; 24; 32; ∞] and priests are able to cast spells across 24 tiles or for some spells across the entire map. Effects always spread from the center of the AoE and apart from some exceptions, if spells are casted multiple times in short order, effects do not stack on top of each other despite mana costs. To develop an idea about the ingame size of AoEs, it is useful to know that a small tower reaches a radius of 32 tiles and an archer on the ground has a range of 15 tiles. {{:en:alobby:tipps:spell.png?direct|}} ==== Table of Wisdom ==== ^ Jupiter's Acts of Divine Intervention ^ cost1 ^ AoE2 ^ effect ^ | Conversion of the Barbarians 3 | 60 | 7 | converts 10 priests, soldiers, thieves, geos, pios | | Vanishing Resources 5 | 20 | 8 | halves and rounds down the amount of ressources in all tiles inside the AoE | | The Midas Touch | 15 | 6 | converts up to 40 bars of iron to gold | | Heavenly Presents | 10 | - | randomly casts 8 different types of goods with a very high amount of possible sets | | Festering Fear4 | 15 | 9 | halves the damage of 25 soldiers for 25 seconds in allied territory | | Gorgeous Growth | 8 | 8 | reduces time to maturity of grain, rice and wine to a possible minimum of 3 minutes | | Grassland Galore | 4 | 8 | converts desert to grass | | The Magic Eye | 2 | 32 | allows vision for 20 seconds | ^ Horus' Acts of Divine Intervention ^ cost1 ^ AoE2 ^ effect ^ | Bowmen to Bordermen 3 | 15 | 7 | converts 10 bows into pios | | Banning Foes3 | 20 | 16 | moves 20 enemy priests, soldiers, thieves, geos, pios anywhere | | Strengthen Soldiers4 | 25 | 9 | doubles the damage of 25 soldiers for 25 seconds outside allied territory | | Gifts from Heaven | 10 | - | randomly casts 8 different types of goods with a very high amount of possible sets | | Forest 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 | | Siphon Swamp | 15 | 6 | converts swamp to grass | | Horus' Heat | 20 | 8 | converts gras to desert | ^ Ch'ih-Yu's Acts of Divine Intervention ^ cost1 ^ AoE2 ^ effect ^ | Rushed Reinforcements 3 | 10 | 9 | moves 20 allied priests, soldiers, thieves, geos, pios to the priest | | The Samurai Sword 4 | 15 | 9 | doubles the attacking speed and increases damage by 33% of 25 swords for 25 sec | | Ch'ih-Yu's Shield 4 | 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 | | Heavenly Gifts | 10 | - | randomly casts 8 different types goods with a very high amount of possible sets | | Flood of Fish 5 | 10 | 8 | randomly casts between 1 and 4 fishes separately in every tile inside the AoE | | Stone Curse | 12 | 16 | casts stones in the unblocked parts of the AoE | | Melting Snow | 10 | 8 | melts snow | ^ Q’nqüra’s Acts of Divine Intervention ^ cost1 ^ AoE2 ^ effect ^ | Cursed Arrows4 | 20 | 7 | protects 25 soldiers for 25 seconds by reducing enemy arrow damage by 100% | | Freeze Enemy4 | 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 | | Heavenly Gifts | 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 | | Forest Favor | 10 | 18 | casts trees in the unblocked parts of the AoE | | Reveal Map | 30 | ∞ | allows vision of the whole map for 20 seconds | 1 initial mana cost\\ 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\\ ==== Cost Progression ==== 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 × 20 = 25 mana, the third 1.25 × 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) cost 210 mana in total. ^ Conversion of the Barbarians ^ Reveal Map ^ Strengthen Soldiers, Stone to Iron ^ Vanishing Resources, Banning Foes, Forest Fire, Horus' Heat, Ch'ih-Yu's Shield, Cursed Arrows ^ The Midas Touch, Festering Fear, Bowmen to Bordermen, Siphon Swamp, The Samurai Sword, Freeze Enemy, Send Goods ^ Stone Curse ^ Heavenly Gifts etc., Fish to Meat, Flood of Fish, Melting Snow, Gold to Stone, Forest Favor ^ Gorgeous Growth ^ Grassland Galore ^ The Magic Eye, Call Goods ^ | 60 | 30 | 25 | 20 | 15 | 12 | 10 | 8 | 4 | 2 | | 135 | 68 | 57 | 45 | 34 | 27 | 23 | 18 | 9 | 5 | | 229 | 116 | 97 | 77 | 58 | 46 | 40 | 31 | 16 | 9 | | 347 | 176 | 147 | 117 | 88 | 70 | 62 | 48 | 25 | 14 | | 495 | 251 | 210 | 167 | 126 | 100 | 90 | 70 | 37 | 21 | | 680 | 345 | 289 | 230 | 174 | 138 | 125 | 98 | 52 | 30 | | 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 δ for each mana production ratio Δ approximately converges to δ = log 1.25 × Δ. 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 δ = log 1.25 × (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 δ = log 1.25 × (4/3) ≈ 1.3, you are constantly one convert and sometimes two converts ahead. ==== Basic Knowledge ==== 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/barrel | ~34.2 sec/barrel | | Asians 1 | ~35.7 sec/barrel | ~36.9 sec/barrel | | Amazons | ~35.7 sec/bottle | ~19.8 sec/bottle | 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 | ===== About this page ===== author: Suma with amazing help from Incinerate, Hirtenknogger, sennahoj, TSK, Mike, Sense, blazingstar, Xch4nGe & Feuerkelch.