With just 2 cards, you can be at arbitrarily many life points.
The 2-card combo is Black Lotus and Game of Chaos. As long as both you and your opponent keep playing, the stakes increase indefinitely, and you can end the game whenever you win a flip.
Assuming both you and your opponent keep playing exactly until someone gets to zero life or below during Game ...
41 life without using Black Lotus
This is a legacy/modern entry (i.e. doesn't use Black Lotus).
Reveal Providence to go to 26 life. Then exile Autochthon Wurm to cast Nourishing Shoal to gain 15 life.
Multiplayer: 20 + 9 * number of opponents
The question clarifies that there are two players. If we relax that restriction, we can do better in cases where ...
Here is my best solution (42 Life Points):
Illusions of Grandeur
Pass until Precombat Main Phase
Play Radiant Fountain [gain 2 life]
Cast Black Lotus
Activate Radiant Fountain
Activate Black Lotus's ability, adding
Cast Illusions of Grandeur [gain 20 life]
Pass until End Phase
This article has an extensive discussion of the solution:
The summary for the 3x3 board is:
Lay out the board as a 9x1 row (row 1, then row 2, then row 3). Count the number of inversions (instances of a higher number coming before a lower number on this row). The board is ...
3 cards, in addition to the walker(s) you want to be hitting the ultimate of:
Tezzeret the Seeker
The Chain Veil
Chalice needs at least 4 counters, to pay for the veil, tezzeret +1 untaps both chalice and veil allowing infinite uses of veil which resets both tezzeret and the other walker(s), letting you rebuild the + abilities on those ...
I'm going to cheat a bit... because you didn't specifically state that this was a 2-player game only (though you did use the word "both"...)
This gives you an unbounded 3n life, where n is the number of opponents you have in the game.
With only 2 cards, you can get 2n life using Syphon Soul instead.
Black Lotus x 2, Auriok Salvagers, Stream of Life
Play the lotuses and crack them for white. Cast Salvagers, use the 2 leftover to return lotus.
Cast lotus, crack for white, return lotus -> repeat as much as you want to gain a white mana each loop.
Return lotus, crack for green mana, cast stream of life for x + arbitrarily large number .
The simplest combo in general is 3 cards: Gilder Bairn, Banishing Knack, and Gemstone Array works for all planeswalkers.
There are 3 card combos around the The Chain Veil (all you need to add is infinite mana and artifact untapping, such Astral Cornucopia with 4 counters and Filigree Sages, or the combo suggested by @Andrew). However, these ...
A solution with X=3:
2 x Mechanized Production
One Mechanized Production is attached to Mycosynth Lattice, and the other is attached to the first Mechanized Production, which is legal because it is an artifact thanks to Mycosynth Lattice. At the beginning of the next upkeep, the two triggered abilities create a new copy of each of those ...
The best I can manage is 32 life:
Cast Black Lotus and sacrifice for 3 green mana.
Cast Phyrexian Dradnaught.
In response to the etb, cast Shltering Word. [gain 12 life]
A second solution for 32 life:
Ritual of Restoration
Weather the Storm
Cast Black Lotus and sacrifice for 3 white mana.
X=1 solutions can be accomplished in a couple of ways:
Giant Adephage, Mist-Syndicate Naga, and Spawnwrithe can each simply attack and deal damage to the opponent, and they will create another copy of themselves.
Progenitor Mimic that is a copy of any vanilla creature (and many other creatures) will create a copy of itself each upkeep.
I had the same question, but having scored 189 in a game a couple of weeks ago, I couldn't believe 195 is the max score.
Edinburgh - Athína gets 21 points with 20 carriages, so I decided to explore possibilities from that route.
I set up the board and checked for the best routes to add.
I came up with this setup:
Points for the routes
Edinburgh - Athína ----...
The solution is for white to move their row of 3 one space forward. There are a bunch of possible moves for black but white can guarantee a win from all of them.
If black moves away from their back line:
If black moves their leftmost piece away from the line, then red pushes forward. Black is forced to use their remaining 2 to capture red, who captures ...
These hands are pathological for both sides. For example consider this example of one pattern you describe:
S: 8642 S: 9753
H: 9753 H: 8642
D: J9753 D: -
C: - C: ...
So myself and my daughter had a go at this and if you don't use stations i.e.
you get 12 points for them, we got to 172 points going from Roma to Palermo and along the longest routes through Bucaresti, Budapest and Kyiv, then Petrograd to Stockholm. This gave a route of 44 carriages, so assumes longest route.
It completes one long route and six short ones.
A solution with X=4:
Phyrexian Metamorph (artifact) that is a copy of a Spark Double (non-legendary) that was a copy of a Brago, King Eternal
Each turn, Brago attacks and exiles one of the permanents, then when it returns, pay for the Mirrorworks trigger using the mana from Sol Ring. Specifically, the turns go as follows:
Link to the picture of the route I thought of:
45 trains + 3 trainstations
Points for traincarriage: 52x
Mountain routes: 4x
Locomotives needed: 4x
21 tickets but no bonus for European Express
Green cirkels on the map are the trainstations*
*** 1: Palermo-Moskva (20)
2: Frankfurt-Smolensk (13)
3: Amsterdam-Wilno (12)
I'm not going to do the math on this, and there may be more optimal configurations, but here's the basic idea:
Dance of the Manse
Go second. Skip the first land play, and discard Thousand-Year Storm (TYS)
Play 2 Islands
I think I have a way (assuming that you get to finish your action).
Dogma on computers, melds self-service. (universe achievement) and splays a color up (wonder). self services is used to dogma socialism (monument, empire and world follow from tucking many cards)
Since March 2017, there is a blog-style collection of puzzles called Possibility Storm.
As of now, the page is continuously updated Mondays, and features everything you need in a single image. All puzzles have a difficulty rating applied to them. Generally, the same blog post will have a solution hidden by default, although some of them are unfortunately ...
ChannelFireball has a category mostly fed by LSV called What's The Play?, which features articles in sets of two, being a puzzle and LSV's respective solution that's realeased a few days later.
The puzzles aren't always win-or-lose situations, but also about what the correct play is to be best off for the rest of the match. The presented situations are ...
It cannot be done "naturally" in a normal chess game though.
The pawns on columns A and H only have 1 square of influence for attacking/defending, since they are on the edge of the board. To move them further into the board, they would have to capture another piece, and if you do, you don't have all the pieces on the board anymore.