Mathematics is a way of describing the world, and everything that is connected to it. Through the esoteric studies of infinities, numbers, counting, geometries and things even more unusual, the mind becomes focused, strong and able to see things from a perspective few others can share. Those who practice the discipline of Infinite Lotus see that within mathematics' many facets, just like in the petals of a lotus, lies a beautiful harmony, unifying mind, body and soul to produce amazing and powerful effects that few other martial artists can even conceive of, much less understand or use. While learning these things is difficult, for mathematics of the level required to use the maneuvers of the Infinite Lotus is beyond many, those who persevere gain the ability to reshape reality with ever-greater facility. Students of the style spend many hours studying unusual and theoretical mathematical principles, becoming foremost scholars of arithmetic and its many principles. Their meditations, sometimes hours long, require them to contemplate the infinite, the eternal, and things that the mortal mind was not meant to visualise, while at the same time internalising and learning these things at an instinctual level. The unusual, rigid and almost-impossible katas of the Infinite Lotus are based on unusual geometrical or mathematical forms, and their training techniques resemble contortionism, academic practice and martial arts in equal forms. At all levels, unity between the disparate needs of the scholar and the warrior, theory and practice, and the self and the world are stressed, and great awareness of subtle mental and physical shifts and precision is granted. Those who survive this regimen, and have sufficient mental and physical strength and flexibility to complete it, find that the world now responds to their actions.
The Infinite Lotus, like all disciplines of the Sublime Way, have origins shrouded in mystery. While most of its disciples are not historically-minded, those who know a little of its ways claim that the modrons first taught it to a few select individuals as part of some great plan that only they could know. While the modrons never truly revealed After many centuries, Reshar, the great uniter of the Sublime Way, began to walk the earth in his bid to learn more than any other master had before him. Reshar was not a scholarly individual - he lived his life for battle and the improvement of his fighting techniques, and while he was far from illiterate, he placed little hope on, and had little interest in, esoteric forms of knowledge. Thus, when he heard stories of the legendary martial prowess of the Infinite Lotus Disciples, he sought them out to try and learn their ways. However, he found that their emphasis on mathematics, its learning and appreciation, and only When the Temple of the Nine Swords fell, and its students were scattered among the four winds, some found their way to the Infinite Lotus Disciples. While many saw their studies as being excessively focused on esoteric numbers and not enough on fighting, and left in disgust just like Reshar had, a small number of swordsages could see the greater picture of the discipline, and stayed. Applying themselves to its studies, they eventually mastered its complex principles, and gained great power in the martial arts as a result. They later, thanks to their experience with the Temple of the Nine Swords, found ways to teach their brother and sister initiators how to use this rather difficult discipline. ## Game Mechanics of the Infinite Lotus
## 1st-Level Maneuvers**Bounded Infinity**: Strike [Mind-Affecting] — Deal additional damage, confuse opponent**Eratosthenes' Sieve Defence**: Counter — Gain a chance to resist spell or spell-like ability.**Floating-Point Instability Process**: Rush — Step and tap a target, make them unbalanced.**Natural Number Understanding**: Stance — Increase speed as long as you keep moving, improve charges, master arithmetic of natural numbers.
## 2nd-Level Maneuvers**Gaussian Property of Distribution**: Counter — Deflect half of damage back to attacker.**Integer Understanding**: Stance — Gain resistance to elements, energies, master arithmetic of the integers.**Interval of Confidence**: Strike — Ignore concealment, deal extra damage**Zeno's Lemma**: Rush — Move halfway towards target, never quite reaching.
## 3rd-Level Maneuvers**Diagonal Argument Proof**: Boost — Empower your own abilities with diagonal argument logic.**Irrational Number Inculcation**: Strike [Mind-Affecting] — Deal extra damage, daze enemy.**Mathematical Induction Principle**: Stance — Anticipate action by observing opponent.**Real Number Understanding**: Stance — Punch through mind-affecting immunity, master arithmetic of real numbers.
## 4th-Level Maneuvers**Axiom of Choice**: Stance [Chaos] — Roll twice on d20 rolls, get insight when choosing the lower result.**Axiom of Determinancy**: Stance [Law] — Choose a fixed result for d20 rolls up to six times in a round.**Crockpot Disproof**: Strike [X-Discipline] — You talk an object out of existence.**Hyperbolic Asymptote**: Counter — Change the geometric axioms of the nearby area to prevent movement, teleportation, area and missile attacks.**Reality is but a Stream**: Rush — Walk through walls, similar obstacles.
## 5th-Level Maneuvers**Incompleteness Theorem**: Strike — Remove invisibility in a large area.**Logic-Overriding Postulate**: Strike [Charm, Mind-Affecting] — Deal additional damage, change opponent's alignment, charm.**Thought-Destroying Contradiction**: Counter — Negate an ability being used.
## 6th-Level Maneuvers**Transcendental Geometry Realization**: Stance — Gain fly speed, remains after stance ends.
## 7th-Level Maneuvers## 8th-Level Maneuvers**Anonymous Function Call**: Strike — Make a request of the universe.
## 9th-Level Maneuvers**Continuum Hypothesis**: Strike [Death] — Give a target knowledge of true infinity, destroy, prevent resurrection.
As an Infinite Lotus Disciple becomes more adept at use of logic on the universe, they begin to master the language in which the universe speaks. Although they never risk speaking this language directly, they can use small snippets of it, which, when combined with their powerful minds and their ability to use logic and mathematics, allows them to have terrifying power that their brother and sister martial adepts simply cannot approach. This is not without its costs, however, as the universe doesn't appreciate its language being used so frivolously.This maneuver has the same effects as limited wish, but it cannot duplicate any spell that has a casting time longer than this maneuver's initiation time. No spell is considered to be on your spell list for this purpose. Additionally, this maneuver inflicts a single negative level on you. This never causes actual level loss, but cannot be removed in any way for a week.Creatures immune to energy drain cannot use this maneuver.
In general, Infinite Lotus Disciples don't disagree - the truths of logic and mathematics do not hold up to variances of opinion. However, there are a few issues that divide even the staunchly logical. One such issue is the infamous axiom of choice - a matter of relatively surprising simplicity that has led to duels between high-profile practicioners of the Infinite Lotus in the past, and will likely to continue to do so in the future. Simply stated, the axiom of choice says that for any number of collections of objects, one object can always be chosen from each collection, even if the number of collections is unknown. Those martial adepts that accept the axiom of choice meditate on it whenever they are presented with a choice for which there is no easy solution - for the axiom will always yield a choice, if not always a good one.As long as you remain in this stance, whenever you make a d20 roll, roll the d20 twice. Before you find out the results of either outcome, you may choose high or low. If you choose high, nothing additional happens. If you choose low, you gain a flash of insight, in the form of information about an important person, place or object. If your character is currently in pursuit of a specific person, place or object, these insights will always be about that particular person, place or object - otherwise, they are about whatever the GM feels appropriate. The information will be in poetic or unusual form, and cannot be longer than your initiator level in words plus an additional number of words equal to the difference between the two triggering d20 rolls. After this information is gained, the stance ends. Note that the stance will not yield different information about the same person, place or object if it is used more than once. Only gaining a level 'resets' this capability (as the information can now be longer).
Another highly-contentious point among the practitioners of the Infinite Lotus is the axiom of determinacy. Those who support it claim that in fact, everything has a perfect solution - no matter what this may be. The (many) detractors of this discipline claim that this idea is preposterous and that even if such a solution existed, it would be impossible to determine rapidly enough. However, this does not discourage the Infinite Lotus Disciples who choose this axiom making use of its amazing power.While this stance is active, instead of rolling any d20 rolls, you can choose to simply have them count as if you had rolled a 15. If this occurs more than four times in a single round, the stance ends. You can spend a swift action while in this stance to increase this to six times for this round only.
One of the most difficult things for an initiate to the discipline of Infinite Lotus to understand is the concept of an infinity existing between a beginning and an end. This very basic realisation is the true initiation into the discipline, for those who are able to grasp it are fit enough mentally to continue. Using this very basic understanding, the martial artist strikes their enemy with a powerful blow, while mentally projecting a bounded infinity. Most minds who have not been trained to handle it find this an overwhelming and disorienting notion.As part of initiating this maneuver, make a single melee attack. If this hits, it deals an additional 1d6 damage, and the target must make a Will save or become confused for 1 round. If the save is successful, the strike deals the additional damage, but not the confusion effect. Creatures immune to mind-affecting abilities are immune to the confusion effect, but not the normal or extra damage.
' As part of initiating this maneuver, make a melee attack. If this hits a creature, that creature must make a Will save or die immediately. Nothing short of
One object within range weighing up to 200 pounds per level and occupying no more than one contiguous 5' cube per level must make a Will save or completely cease to exist. This maneuver is supernatural.
The diagonal argument, one of the most powerful logical tools devised by Gautama Chandraprasad to prove to those that doubted him that numbers are infinite, even within a finite boundary, is at the same time beautifully simple and incredibly potent. Once the student has grasped its most profound implications, they can call upon it to force through their own capabilities.After initiating this maneuver, provided that you make a d20 roll within 1 round, instead of rolling, you can choose to set its result to 10 + 1/2 your initiator level. You can only choose to affect one roll (after which this maneuver has no effect), but this can be any roll you make before your next turn. Setting a roll in this way doesn't require an action.
Eratosthenes is regarded as one of the first to adapt the more complex and esoteric teaching methods of the Infinite Lotus disciples into a form that those trained in the Sublime Way using Reshar's methods could understand. He also came up with a simple meditation to improve concentration that focused on mentally eliminating successive prime multiples until only the prime numbers remained. Surprisingly, this method gave those that could master it (performing the 'sieve' to 10 million or more) the strange and intermittent ability to simply ignore magic directed at them. Eratosthenes never came to any conclusion as to why this was the case - and the Infinite Lotus disciples who were asked simply laughed and pointed all around them.You can use this counter when you would become affected by a spell or spell-like ability that allows spell resistance. As part of initiating this maneuver, roll 1d20. If this roll comes up prime (i.e. is 2, 3, 5, 7, 11, 13, 17 or 19), you gain unbeatable spell resistance against that spell or spell-like ability. If you have more ranks in Autohypnosis than the caster level of the origin of this spell or spell-like ability, you may re-roll the 1d20 to determine whether you resist or not.
As part of initiating this maneuver, move 5ft. This movement does not provoke any attacks of opportunity. At the end of this movement, make a melee touch attack. If this hits, the target becomes uncentered. If the target does not have an active stance at the time this is used on them, they instead become flat-footed against the next attack directed at them.
Despite what the more-lawful deities and their followers may teach, life is nothing but a sequence of random events - this is the true mystery revealed by the Infinite Lotus. However, not all creatures can willingly handle such a revelation, particularly when coupled with the idea that this randomness follows certain rules that do not give consistent outcomes. With this idea firmly in your mind, you shift around the subtle equations of reality to 'compress' all of the random, but yet regulated, outcomes of your enemy's attack - slightly in your favour.You may use this counter when attacked by a creature within your melee reach. As part of initiating this maneuver, make an Autohypnosischeck. The attacking creature must make a Fortitude save with a DC equal to your check result. If the target passes this save, half of the damage dealt by its attack is distributed to the space around you. Any creature or object adjacent to you is dealt one-tenth of the redirected damage. If the attacking creature fails its save, half of the damage dealt by its attack is redirected to itself.
As an enemy approaches, you call into mind the idea of the asymptote - a function that creates an infinity the closer it draws to zero. You will the space around you to take on these properties - and suddenly, approaching you, if but for a moment, requires infinite energy. However, moving collapses the spacial waveform, and thus, tolerates no movement more extreme than simple arm passes.You may use this counter when a creature attempts to move within 10ft of your current position. The movement can begin outside this area, in which case it may only be activated when the creature's movement would take to within 10ft. The creature's movement immediately stops when within 10ft of you. Additionally, no creature can move within 10ft of you by any means until you move at least 5ft for any reason. This covers both mundane and magical forms of movement (including teleportation). Ranged attacks against you from beyond this barrier lose significant velocity, reducing all damage taken from mundane missile weapons by 15 until you move at least 5ft. Melee weapons that can reach you are not affected, and can attack you normally, as well as magical projectiles. Areas of effect warp around you, treating you as having cover until you move at least 5ft. This maneuver is a supernatural ability.
While the logic of the Infinite Lotus Disciples was indisputable, it took a dedicated swordsage named Kieran Gemmen to truly apply this logic to its greatest heights. Considered one of the greatest Infinite Lotus practitioners, and logicians, that has ever lived, Gemmen found a method of revealing that which is invisible - by forcing the universe to acknowledge that something is not complete, and thus causing it to respond by revealing such things. Those who would try to make them invisible again must argue against Gemmen's logical proof, which is a task too taxing for many.All invisible objects in the area become visible immediately. They remain visible from then on. Any ability that causes invisibility temporarily (such as the invisibility spell) is ended by this maneuver. Any form of permanent invisibility is suppressed for a number of rounds equal to your initiator level.If any ability tries to make any object that was invisible, but was then made visible by this ability, the ability's user must make a Will save or the ability does nothing.
It is simple to extend the idea of the natural numbers to include zero, as well as negative numbers - for those who can move forward and back on a number line can imagine doing so backwards, into values that could not possibly exist in 'nature'. While this slight abstraction doesn't trouble any true Infinite Lotus disciple, nature itself rejects such a notion - allowing them to resist its influence over them.While you are in this stance, you are subject to a constant endure elements effect. Additionally, you gain energy resistance 5 to all energy types. This improves to energy resistance 10 to all energy types at 11th initiator level.Additionally, while maintaining this stance, you can perform any calculation using the integers (all natural numbers, all negative versions of those numbers, and zero) and arithmetical operations (addition, subtraction, multiplication and division) in no more than 6 seconds (1 full round), regardless of the size of the numbers involved with no chance of error. Note this only gives the answer - not its significance. Additionally, the answer to the problem must be an integer - otherwise, the calculation must be done normally (though you instantly know this to be the case).
One of the most important parts of dealing with the inexactness of fighting is the ability to be almost sure that something will come to pass. With the powerful predictive mathematics and esoteric statistical meditations of the Infinite Lotus, this becomes a much greater certainty, allowing for those who are learned in such things to inflict punishing strikes that seem to ignore any odd elements that traditional fighting styles find difficult to account for. At the same time, these theories, although accurate, are not exact, and some chance of failure, also predictable and limited, exists.As part of initiating this maneuver, make a single melee attack. This attack ignores concealment and total concealment regardless of its source. If this attack hits, it deals an additional 3d6 damage. An attack roll of 1, 2, 19 or 20 on this roll is an automatic miss, regardless of other conditions.
Some numbers have a definite end, with anything beyond them simply being nothing. Some, however, do not - they go on forever, and only sentient understanding of such a thing can stop its calculation being never-ending. These 'irrational' numbers do not simply go on forever - they also vary endlessly, with no discernible pattern. It is part of the training of any Infinite Lotus disciple to realise that pursuit of any end or pattern to these numbers is futile, through endless meditation on their concepts. While this can drive some of them mad, those that survive learn to take this obsessive madness and funnel it through their weapons, leaving those that they strike filled with that same obsession, standing there and reciting the numbers endlessly, until their minds finally reassert control.As part of initiating this maneuver, make either a single melee weapon attack or a single melee ranged attack. If this attack hits, the target of the attack is dealt an additional 3d6 damage, and must make a Will save or become dazed. While dazed, the target constantly recites numbers, but is allowed to retry this save at the end of each of their turns - a success ends this ability. A creature immune to mind-affecting abilities is still subject to the extra damage from this ability, but not the dazing effect.
A little logic can be a dangerous thing, and experienced Infinite Lotus Disciples understand this better than anyone. By focused and directed meditation on insane arguments, otherworldly theories and logical constructions that rework the minds of those who attempt them, the Disciple builds up a reserve of arguments that can prove anything right - or wrong. With a precise movement of their body, combined with a chosen few words, they can deliver a powerful blow to the head which causes their unfortunate opponent to rethink their deepest beliefs - in a way the Disciple sees best, of course.As part of initiating this maneuver, make a single melee attack. If this hits, it deals an additional 3d6 damage. The target must make a Will save. If this is failed, their alignment changes to any alignment you choose, provided it is not opposed to your own (good opposes evil, chaos opposes law). Additionally, the target regards you as a trusted ally and friend, in a similar way to a charm monster spell. Note that the additional damage occurs regardless of whether the save passes or fails.The additional effects are permanent. However, an ally of the target within 30ft can attempt to convince it to return to its normal ways with a full-round action. Each ally of the target may only attempt this once. If they do, the target can make another Will save at the same DC to end the additional effects. Furthermore, if the target would lose access to class abilities because of this effect, they may attempt a new save each day by spending a full-round action rethinking their life. Otherwise, the effect lasts permanently, and can only be removed by something which can remove curses. Creatures immune to mind-affecting abilities or charms are immune to the additional effects, but not the normal or extra damage.
While the idea of inductive logic is inherently known to be false by the Infinite Lotus Disciples, the principle of mathematical induction allows any sequence to be proved forever - provided that it has a beginning, a unifying principle and does not end or deviate from this principle. Those who progress far enough in the discipline of Infinite Lotus learn that fighting styles are as much about mathematical sequences as any of their meditation problems - more complex, perhaps, but ultimately the same. While many would like to believe that they lead a unique existence, and have a unique style of fighting, it takes the Infinite Lotus Disciple but a simple shift of their stance to anticipate it - as long as they saw it begin. This requires the initiator to focus on the constant calculations, making it impossible to predict many styles, or many fighters, at the same time, however.When you activate this stance, choose an opponent that you can see. As long as you see this opponent take one action, you have now 'sequenced' that opponent. This action must be completed (i.e. cannot have been countered, interrupted or anything similar) and the results of it must be visible to you in order for this stance to have any benefit. If a sequenced opponent attempts to affect you with any ability that would designate you as a target, or would require an attack roll against you, a save on your part, or for the sequenced opponent to test against your spell resistance, two things happen: firstly, your opponent must roll every d20 required for this action twice and take the worst result; secondly, you may roll every d20 required for this action twice and choose the result you prefer. The sequenced opponent can attempt a Reflex save to negate the effects of this stance, but it applies to only their next action - each subsequent action while they remain sequenced continues to have the same effects applied to it. The user can sequence another opponent, but this requires them to spend a swift action, and observe one of their actions. If this is done, or the stance ends for any reason, any previously-sequenced enemies become unsequenced.
One of the simplest ideas of all mathematics is that numbers go on forever - you can keep adding more numbers to numbers and you'll never get to an 'end'. However, this does not mean that all number groups are infinite - or, in fact, the same size. One example is that of the natural numbers - not only do they have a beginning, they are also smaller than other groups of numbers. This basic understanding is needed before any further progress can be made in the Infinite Lotus, and those who have mastered it learn that they can move incredibly fast, by imagining their world as a number line, and their speed as their position on that number line.When this stance is activated, all of your speeds increase by 5ft. However, in order to maintain this stance, you must spend at least one move action either moving or using a rush. In subsequent rounds, as long as you continue to spend at least one move action each round either moving or using a rush, your speeds increase by an additional 5ft (+10ft in the second round, +15ft in the third, and so on). Once the bonus speed is +10ft or more, you also gain a +2 bonus on attack and damage rolls when charging. However, if you fail to spend a move action either moving or using a rush on any given round, the stance ends at the end of that round. You cannot exceed a speed of 100ft in any movement mode with this ability. Additionally, while maintaining this stance, you can perform any calculation using the natural numbers (all positive, whole numbers not including 0) and arithmetical operations (addition, subtraction, multiplication and division) in no more than 6 seconds (1 full round), regardless of the size of the numbers involved with no chance of error. Note this only gives the answer - not its significance. Additionally, the answer to the problem must be a natural number - otherwise, the calculation must be done normally (though you instantly know this to be the case).
As proven by Gautama Chandraprasad, the real numbers are so vast that they exceed the size of the natural numbers and the integers even in the small space between zero and one. This huge vastness conceals so many possibilities that it is very difficult to imagine, and thus, the real numbers are the last to be taught to aspiring Infinite Lotus disciples. Those who have come to grips with this set of numbers are formidable enemies indeed, for they can draw upon the infinite realities reflected in these numbers to make their abilities realign the universe to bypass such trifling things as a mindless enemy's inability to comprehend the corrosive logic of their arguments.While maintaining this stance, you can affect mindless creatures, or creatures immune to mind-affecting abilities, with your mind-affecting abilities as if they weren't mindless or immune. Instead, these creatures receive a +4 bonus on any relevant saves. Additionally, while maintaining this stance, you can perform any calculation using the real numbers (basically all numbers ever that aren't imaginary) and arithmetical operations (addition, subtraction, multiplication and division) in no more than 6 seconds (1 full round), regardless of the size of the numbers involved with no chance of error. Note this only gives the answer - not its significance. Additionally, the answer to the problem must be a real number - otherwise, the calculation must be done normally (though you instantly know this to be the case).
As part of initiating this maneuver, you can move your base speed. This can be a non-land speed (such as burrow, fly etc) as long as you have such a speed. This movement ignores all intervening terrain, such as rubble, trees or even walls, provided that the destination space is clear. You do not need to know where you are going, but if you end up in a space that cannot hold you, you are shunted back to where you started.
To argue with the master logicians of the Infinite Lotus is to doom yourself to failure very quickly. However, these are but mere practice runs for true mastery - which requires arguing against the universe itself, proving to it that something being done is not correct, and needs to be removed for its own safety. Although this terrifying power is immense, it can only be used in limited ways at first, for fear that the universe might win the argument - and remove the Infinite Lotus practitioner instead. One of the simplest applications of this idea is to cause the power of others to fail, by creatively convincing the universe that this power doesn't belong there.You can use this counter whenever any ability requiring an action begins within range. Note that abilities that begin outside this range, but affect an area or target within that range cannot be affected by this. The creature or object using this ability must make a Will save - if this is failed, the ability is wasted and does nothing, but any limited resources it required are still expended (including its action cost).
Although geometry isn't something that is heavily studied by Infinite Lotus Disciples past a certain point in their training, it still holds several mysteries for those who persevere. Through contemplation of mathematical transformations and how they can be applied to three-dimensional and two-dimensional space, an Infinite Lotus Disciple of sufficient proficiency can simply alter their personal direction of 'down' in a way to enable flight.While this stance is active, you gain a fly speed of 60ft, with average maneuverability. If you end the stance, or it ends for some other reason, while you are airborne, you remain airborne for the rest of the round, and descend slowly to the ground from a height of up to 1000ft without falling at the beginning of your next round.
You move to the space halfway between your starting position and your target, rounding down to the nearest 5ft. You do not provoke attacks of opportunity for this movement. If you may not move through a space, you stop at the last space you may move through. |