Arcane Wonders Forum

Mage Wars => Spellbook Design and Construction => Topic started by: DaFurryFury on October 01, 2014, 01:26:02 PM

Title: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 01, 2014, 01:26:02 PM
I've seen a lot of official and custom spellbooks that seem like they use a lot of different spells but only have 1 of them and 2 of specific others like dispel. This seems odd to me because when I make a book I tend to use several of the same spell so that I can use it on several creatures or extend its effects. I'll have 4 of 2-3 different spells when other seem to use only one of each spell. I'm just curious what your thoughts are on this. Pros Cons? What do you do more often? Am I building mine weird?
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 01, 2014, 01:50:41 PM
Having multiple spells allow you to deal with multiple threats. You never know what your opponent will throw at you. You need to be ready.

Having 3-4x the same spell just make you predictable, also for example, having 4x Agony seems awesome... But if opponent only cast 1 creature... You wasted spellbook points.
Title: Re: Using multiple spells vs one of several different spells
Post by: sIKE on October 01, 2014, 01:58:34 PM
This is where the art and strategy of book building come in to play. The amounts included in each book is typically one of those hard choices made during construction. I like to add in multiple copies of Dispel and Dissolve but typically I also want to include xyz spell, say Rust, for the same cost I can swap out a Dissolve for a Rust now I am carrying 1 fewer Dissolves and I do this a couple of times for the spell sets and then I land at a final number sometimes I have 3-4 Dissolves/Dispels others I have 1-2...
Title: Re: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 01, 2014, 02:16:06 PM
But when considering what an opponent might throw at you, wouldn't you want at least a couple heals (just as an example) because you might either want to keep a big creature alive or use it on several. I do know cards like mage wand and enchantment transference has widened my spell range, but those are cards specifically made to extend a spells effect.
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 01, 2014, 02:30:39 PM
But when considering what an opponent might throw at you, wouldn't you want at least a couple heals (just as an example) because you might either want to keep a big creature alive or use it on several. I do know cards like mage wand and enchantment transference has widened my spell range, but those are cards specifically made to extend a spells effect.

If you heal a creature more than once, your opponent might have forgot what the goal of the game is... Killing your mage.

And if i keep seeing you heal your creature, i will simply realise it is a waste of time/ressource to attack your creatures. So i will stop to damage them, making your heals useless.
Title: Re: Using multiple spells vs one of several different spells
Post by: DaveW on October 01, 2014, 05:36:15 PM
But when considering what an opponent might throw at you, wouldn't you want at least a couple heals (just as an example) because you might either want to keep a big creature alive or use it on several.

It really depends on how you intend to play. With a very aggressive book, you may consider not including any Healing spells. The thought there is that you probably would rather use the mana and actions that they cost to keep the pressure on and to kill the opponent's Mage instead. This is especially true if using limited Creature support.

Where there are reasons for multiple copies of a spell, I use multiple copies. Where I am not sure that I'm going to get out a fifth or sixth Falcon, use all four Hurl Boulders, etc., those are the first things that go when I free-up space in the book for other spells that might be handy.
Title: Re: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 02, 2014, 01:08:15 AM
Maybe Heal was a bad example. Its a little too strategy specific. How bout mana crystal/flower. I usually bring 2 often times 3. I don't always summon all three but I like to have a 3rd in cases that I can summon 3 or my opponent destroys 1 and I have an extra to summon.

Waste of points? or is the 2 SP worth it to support high channel?
Title: Re: Using multiple spells vs one of several different spells
Post by: zorro on October 02, 2014, 05:20:21 AM
I think it depends on your mage and the general strategy you try to follow. Sometimes the schools your mage are trained offer alternatives for the same spell points (as mixing explode dissolve in a warlock to have different alternatives), sometimes you preffer to have little variation in effects. Other times you can have some cheap spells (spell point and/or mana wise) wich are generally usefull and you include more copies (acid balls).

I generally preffer to have variety of spells, so tend to try not have much multiple copies. But in my druid book i have 4 thornslasher and 4 raptor vines, but no more than two any other spell. My necromancer brings all 6 skeletan minions (and no more than two any other spell). The warlock has 3 flameblast, and no mre than 2 any other spell...
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 02, 2014, 07:28:33 AM
Maybe Heal was a bad example. Its a little too strategy specific. How bout mana crystal/flower. I usually bring 2 often times 3. I don't always summon all three but I like to have a 3rd in cases that I can summon 3 or my opponent destroys 1 and I have an extra to summon.

Waste of points? or is the 2 SP worth it to support high channel?

It is a waste if you cast it past early game (unless your games last an anormal amount of rounds).

A manaflower/crystal will only pay back 6 turns after you casted it. If you cast it on 5th-6th turn, i doubt having 1 extra mana on 11th-12th turn (80% of my games are already over by that time) will help you as much as the 5 mana you spent on that 5th-6th turn.
Title: Re: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 02, 2014, 11:27:53 AM
I think my original question was answered for the most part so I don't mind derailing the discussion a little on the mana crystal thing.

It's clearly a common fallacy on these forums that the returns for a mana crystal is only directly related to the mana it gives you back. That is true only in the sense of counting mana. To properly evaluate the "value" of mana crystal you must look at it's "real" returns. I define "real" as the return a spell gives you after it pays itself off plus it's immediate effects. This manifests itself in many ways but mana crystal is pretty simple in that it just gives you mana back.
So to boil it down, the total converted value of mana crystal is (Length of Game - 5 [Mana Cost] + [Increased amount of Channeling * Length of Game]. If you're a math nut you will like this expression; (X-5)+(1*X) So if you put that expression into a graphing calc (https://www.desmos.com/calculator) you can see the "x intercept" which shows approximately how many turns it would take for it to pay itself off. (2.5) Which is less than 3 turns if you calculate it this way.
Now I'm going to try to answer a question which I think several of you will have. "Why/Where are you getting the second half of the equation which adds an originally un-thought of positive?" Well, it represents the value of increased channeling that you gain because it's not just a card to give you more mana. It's a card to allow you to summon 1 mana worth of a larger spell during that turn. Plus it's effects stack when you play a small turn to save because you gain more with the larger channeling.

Side-note: If you put the equation into the graphing calc I linked you to, you will see the "y-intercept" which represents the amount you spend on the spell. Yay Mathmatics and Game Theory!

Now I understand this is a really big rant that several of you maybe didn't read, but people keep telling me the effectiveness of cards based off of it's effect on the surface without taking into account a card's value over time.

I might post more about this in a separate thread but I feel like I would be put on a spit over a fire for pretty much telling an entire community that they are wrong about anything no matter how small. Haha
Title: Re: Using multiple spells vs one of several different spells
Post by: V10lentray on October 02, 2014, 12:13:37 PM
I think my original question was answered for the most part so I don't mind derailing the discussion a little on the mana crystal thing.


The funny thing is, I use this as a way to talk my self out of using the [mwcard=MW1Q22]Moonglow Amulet[/mwcard] in almost everycase. But I have less reservation using the [mwcard=DNQ10]Meditation Amulet[/mwcard] in certain books. I say to my self, it will take 6 turns to get back that 6 mana, so if cast on turn 1, on turn 7 I finally break even, so it's a waste. but I have no hesitation about on turn 1, 2 and some times 3 dropping a Mana Flower/Crystal where the same logic says I won't break even until turn 6/7 and maybe 8.

Games are silly this way. But you have put a new perspective on things and I will be likely to consider the [mwcard=MW1Q22]Moonglow Amulet[/mwcard] from now on.
Title: Re: Using multiple spells vs one of several different spells
Post by: jacksmack on October 02, 2014, 12:29:23 PM
i'm amazed....
Title: Re: Using multiple spells vs one of several different spells
Post by: sIKE on October 02, 2014, 12:35:31 PM
I have made the same argument in the past and was laughed at. I didn't have the math to back up my thoughts which I knew to be true. Thanks a lot for the information you have provided here....
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 02, 2014, 01:03:36 PM
The formula is wrong because you add twice X, which gives 2 mana per turn while crystal only gives one.

The right formula is ((X*1)-5)


If you want an example:

Give 5$ to a djinn and 1$ will appear every day in your pocket. That's how mana crystal work.

But your formula is: Give 5$ to a djinn, 1$ appear in your pocket every day... But the djinn also give you 1$ per day.
Title: Re: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 02, 2014, 01:45:47 PM
My equation does not calculate how much mana it gives you. It's a more abstract representation of the overall value. Both mana gain and action potential of the increased channeling. Since it increases channeling and does not give you just flat mana, it's value is exponential based on the amount of turns taken and the increase of mana per turn instead of mana per game. If you calculate just mana per game yes you are correct but that's not where the true value of mana crystal lies.
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 02, 2014, 02:33:26 PM
How come it makes its value expodentialy increased?

3 turns after you casted it I will have 1 action and 2 mana over you.
Title: Re: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 02, 2014, 05:14:37 PM
To break the values down further I'll explain it like this.

Mana Crystal gives the controller increased channeling, not mana. Channeling by extension gives you mana. So the (time of game-5) does give you it's effectiveness on a simple terms level. However, don't confuse channeling with just getting mana because Channeling has another benefit. That is, it increases the amount of mana you may cast on any given turn. In the long run my opponent may have gained much more mana than I but I was still able to cast larger spells earlier because I'm gaining mana faster, as opposed to slower but consistent.

Here's a turn by turn count.
Lets say 2 mages have 10 channeling.

Turn 0 = 10 mana <------ for the sake of removing values we don't need because the starting value is the same for everyone and it doesn't change the math at all.

Turn 1 = Channels 10 mana.(10) Plays mana crystal (-5). End Turn = 5 mana left. [For the sake of simplicity each turn both mages will spend 5 mana so that I can illustrate the concept of acceleration and not simple mana totals]
Turn 2 = Channels 11 mana.(16) Plays card (-5) End turn = 11 mana left
Turn 3 = Channels 11 mana.(22) Plays card (-5) End Turn = 17 mana left
Turn 4 = Channels 11 mana.(28) Plays card (-5) End turn = 23 mana left

Player 2
Turn 1 = Channels 10 mana.(10) Plays card (-5) End turn = 5 mana left
Turn 2 = Channels 10 mana.(15) Plays card (-5) End turn = 10 mana left
Turn 3 = Channels 10 mana.(20) Plays card (-5) End Turn = 15 mana left
Turn 4 = Channels 10 mana.(25) Plays card (-5) End turn = 20 mana left

Hopefully you see the pattern by now as the ever increasing ratio starts to benefit the owner of mana crystal. This ratio is described by the clause in my equation being (X*1) where x = the amount of rounds that the mana crystal is in play. "1" is a placeholder because these equation could describe the same relationship if multiple were in play.

So in conclusion, not only does the card grant you mana after turn six (which really is just a bonus for the main benefit), you gain a rate of gain bonus over your opponent which allows you to play larger more quickly. Even though you "wasted" 5 mana. Though by my calculations the "value" of mana crystal is zero after 2 and a half turns so each turn after turn 3 is when you start to reap benefits.

Now let me jump the gun here and ask myself, "why is the ratio bonus as equal to the flat mana gain bonus that takes place after 6 turns?" Well, the fact that the ratio bonus is equal is only relative to how much of an advantage it gives me over the other player. So in my opinion the values are equal, but maybe you aren't like me and think the ratio increase is worth only half that of the bonus mana crystal gives you after 6 turns. So plug in ".5" where the "1" is on the equation. The result is that it still only takes 3.33 turns to "pay itself off." Even if you put in ".25" its still a better outcome than the typical 6 turns that people think.



I hope that long winded explanation helps you to understand my point of view a bit. The old simple model isn't really wrong it's just not completely right and downplays the effects of mana crystal and the benefits.
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 02, 2014, 05:36:35 PM
Duh man, you maths are wrong again.

You make both mage cast 5 mana spells, but the thing is that 1 of these spell for first mage is the mana crystal. You need to compare with someone not casting a mana crystal.

So it is:

Turn 0 = 10 mana <------ for the sake of removing values we don't need because the starting value is the same for everyone and it doesn't change the math at all.

Turn 1 = Channels 10 mana.(10) Plays mana crystal (-5). End Turn = 5 mana left.
Turn 2 = Channels 11 mana.(16) Plays card (-5) End turn = 11 mana left
Turn 3 = Channels 11 mana.(22) Plays card (-5) End Turn = 17 mana left
Turn 4 = Channels 11 mana.(28) Plays card (-5) End turn = 23 mana left

Player 2
Turn 1 = Channels 10 mana.(10) (not casting mana crystal) End turn = 10 mana left
Turn 2 = Channels 10 mana.(20) Plays card (-5) End turn = 15 mana left
Turn 3 = Channels 10 mana.(25) Plays card (-5) End Turn = 20 mana left
Turn 4 = Channels 10 mana.(30) Plays card (-5) End turn = 25 mana left


You see, player 2 has 2 more mana.
Title: Re: Using multiple spells vs one of several different spells
Post by: DaFurryFury on October 02, 2014, 09:08:01 PM
I do minus 5 for all turns because this model assumes that the player plays something. Of course he will have more mana if he doesn't cast anything and I do. That's just how the game works. If he says he's not casting and waiting for a bigger turn that's fine, that is one of the strategies, but it's not pertinent to the acceleration model because in this case, as you suggest, I have gained my action back and potentially have more cards in play than he does. I just use 5 as a place holder. In a real game the turn values would be 5,2,7,13,etc.... but the model still holds as it refers to the ratio of mana gained in total over the opponent without other influences.

Does that make sense?
Title: Re: Using multiple spells vs one of several different spells
Post by: zorro on October 03, 2014, 03:06:37 AM
Hi! I wanted to give a quite long reply to the crystal question... but it seemed me quite off topic, and apponent a different post, bringing there your previous post about the issue, i expect this way disccusion is more clear and usefull.

Here you got the link:    
On mana crystal effects and efficiency (http://forum.arcanewonders.com/index.php?topic=14713.msg42788#msg42788)
Title: Re: Using multiple spells vs one of several different spells
Post by: sIKE on October 03, 2014, 10:15:13 AM
The formula is wrong because you add twice X, which gives 2 mana per turn while crystal only gives one.

The right formula is ((X*1)-5)


If you want an example:

Give 5$ to a djinn and 1$ will appear every day in your pocket. That's how mana crystal work.

But your formula is: Give 5$ to a djinn, 1$ appear in your pocket every day... But the djinn also give you 1$ per day.
But since I now have 6$ in my pocket everyday I can buy the supersized big gulp(64oz) instead of buying the regular i.e. puny  (32oz) Big Gulp, so it is not just the fact that I get $1 more each day but the fact that it increases my buying power each day. This is the is an additional value above the linear increase in Channeling.
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 03, 2014, 10:29:57 AM
I do minus 5 for all turns because this model assumes that the player plays something. Of course he will have more mana if he doesn't cast anything and I do. That's just how the game works. If he says he's not casting and waiting for a bigger turn that's fine, that is one of the strategies, but it's not pertinent to the acceleration model because in this case, as you suggest, I have gained my action back and potentially have more cards in play than he does. I just use 5 as a place holder. In a real game the turn values would be 5,2,7,13,etc.... but the model still holds as it refers to the ratio of mana gained in total over the opponent without other influences.

Does that make sense?


No. Because in your example:

Player 1: Cast 1 mana crystal and 3 Acid Ball
Player 2: Cast 4 Acid Ball

Then you tell me player 1 has more mana than player 2. Of course, you casted 1 less Acid Ball than player 2.

Player 2 has done more than Player 1.
Title: Re: Using multiple spells vs one of several different spells
Post by: Gregstrom on October 03, 2014, 11:18:32 AM
...player 2 has done no more or less than player 1.  Player 1 spent one action creating an asset that provides +1 channeling instead of casting an acid ball.
Title: Re: Using multiple spells vs one of several different spells
Post by: Wildhorn on October 03, 2014, 11:26:47 AM
I continued to reply in the thread started about mana crystal