Axiom Arc

What is Axiom Arc? 🔄

Axiom Arc is the ultimate-cooldown-management item for lethality assassins — a legendary that directly reduces the time between R casts by refunding a percentage of the ultimate’s total cooldown on every kill secured within 3 seconds of dealing damage. For assassins whose primary kill tool is a single-use ultimate (Zed’s Death Mark, Talon’s Shadow Assault, Qiyana’s Supreme Display of Talent, Samira’s Inferno Trigger), Axiom Arc creates a direct kill → R cooldown reduction loop: kill with the R → FLUX refunds cooldown → R available sooner for the next target.

The FLUX formula — 15% + (0.15% × lethality) — scales with every lethality point in the build. At 18 base lethality (Axiom Arc alone), FLUX refunds 17.7% of the R’s total cooldown. In a full lethality build with 60+ total lethality, FLUX refunds 15% + (0.15 × 60) = 24% per kill — nearly a quarter of the ultimate’s total cooldown returned on each takedown. Combined with Ability Haste reducing the total cooldown in the first place, the effective availability frequency of the R increases substantially across a multi-kill fight or split-push sequence.

The Arena transformation is significant and unique: in Arena, FLUX is completely removed and replaced with APOTHEGM — a flat +20% increased damage on all ultimate abilities. Arena Axiom Arc becomes an offensive R-damage amplifier rather than a cooldown-refund tool. The two passives serve entirely different purposes — FLUX is a cooldown management tool, APOTHEGM is a damage multiplier — making Axiom Arc’s optimal usage in Arena fundamentally different from SR/ARAM/Nexus Blitz.

📊 Base Statistics

🗺️ Map-Specific Differences — Arena

🔨 Recipe & Components

🔄 FLUX — Deep Dive: Cooldown Math & Ultimate Interaction

How FLUX Interacts with Ability Haste on Ultimate Cooldown

FLUX refunds a percentage of the total cooldown — meaning the effective (AH-reduced) R cooldown, not the base cooldown. This creates an important relationship between AH investment and FLUX’s absolute second-value refund:

FLUX Stacking — Multiple Kills Before R Cooldown Starts

The stacking interaction is specific to ultimates with delayed cooldown start — abilities where the cooldown does not begin immediately on cast. If an ultimate’s cooldown starts after effect completion (some channel R abilities, some R abilities with delayed CD start mechanics), FLUX can be triggered multiple times between cast and cooldown initiation. Each individual FLUX trigger stacks — all pending refunds apply simultaneously when the cooldown finally begins.

Practical example: A champion whose R has a 2-second delay before cooldown starts. In those 2 seconds, the champion kills two enemies (both within 3 seconds of dealing damage). FLUX fires twice — two separate cooldown refunds accumulate and both apply when the R’s cooldown begins. This is the highest possible FLUX value scenario: multi-kill fights where the R’s cooldown is delayed enough to accumulate 2+ FLUX triggers.

👥 Best Champions for Axiom Arc

Optimal — Lethality Assassins with Kill-Dependent Ultimate Usage

• Zed: Death Mark (R) is Zed’s primary assassination tool — a 120/100/80-second base cooldown ultimate. Every successful kill within 3 seconds of R engagement triggers FLUX, refunding up to 24%+ of the R’s effective cooldown at high lethality totals. Zed’s playstyle naturally involves opening with R → kill → retreat through W shadow, meaning every R kill is within the 3-second window. Axiom Arc directly addresses Zed’s primary limitation (long R cooldown) by rewarding kills with faster R availability. The AH from Axiom Arc additionally reduces the base R cooldown, compounding with FLUX’s percentage refund. Full lethality Zed build: Axiom Arc + Youmuu’s + Edge of Night at 56+ total lethality → FLUX refunds ~23.4% per kill.
• Talon: Shadow Assault (R) is Talon’s kill-pattern ultimate — 100/80/60-second base cooldown. FLUX on Talon fires on every kill during or immediately following the R blade burst. Talon’s E wall-hop mobility means post-kill routing to a new target or objective is fast — and if the first kill’s FLUX refund brings the R close to ready, a second fight opportunity may have the R available sooner than the base cooldown suggests. At 60 total AH and level 11 (80-second base R), FLUX at 17.7% returns 8.9 seconds per kill — at high lethality builds, this increases to 12–14 seconds per kill. Talon frequently kills 2+ champions per R engagement in AoE blade burst situations — each kill generates a separate FLUX trigger.
• Qiyana: Supreme Display of Talent (R) — 120/100/80-second base cooldown. Qiyana’s R is an AoE ability that can hit multiple champions simultaneously in teamfight engagements. FLUX fires for each qualifying kill within 3 seconds — in a 2-3 kill teamfight with R, multiple FLUX refunds stack. At 40+ total lethality, each kill refunds 21% of the effective R cooldown, and a 2-kill R engagement returns 42% total. Combined with Axiom Arc’s 20 AH reducing the base cooldown, Qiyana can cycle R significantly more frequently than the base cooldown suggests in kill-heavy teamfight scenarios.
• Samira: Inferno Trigger (R) — extremely short base cooldown (~8 seconds) but requires S-rank style stacking. FLUX on Samira returns 1–2 seconds per kill at standard lethality — small in absolute terms but meaningful for a 8-second cooldown. More importantly, Samira’s passive and Q/E chain apply damage rapidly, meaning the 3-second kill window is almost always satisfied. Axiom Arc’s AH tightens Samira’s full combo cooldowns, enabling faster style-stack generation for the next R. The APOTHEGM Arena version (+20% R damage) is particularly strong on Samira — a 20% damage boost on the full spin duration.
• Nocturne: Paranoia (R) — 160/130/100-second base cooldown. The highest absolute FLUX refund in seconds per kill of any common Axiom Arc user. At 40 AH, level 6 (160-second base → 114.3s effective), FLUX at 17.7% returns 20.2 seconds per kill. At 60 lethality (24% FLUX), 27.4 seconds returned per kill. Nocturne’s global R is the ability with the most to gain from faster cycling — each additional R usage per game creates a new gank opportunity. Axiom Arc on Nocturne converts kill-secure ganks into direct reductions of the time until the next global available.
• Kha’Zix: Void Assault (R) — evolving stealth ultimate, 100/90/80-second base CD. Kha’Zix’s R stealth phases create the conditions for Axiom Arc’s kill window: stealth approach → kill within 3 seconds → FLUX fires → reenter stealth for next target. The item’s AH tightens Kha’Zix’s Q Taste Their Fear cooldown (enabling faster isolation damage), and FLUX accelerates R availability for additional stealth-approach sequences. Evolved R (increased uses per cast) creates more kill opportunities per R cast, increasing total FLUX trigger frequency.
• Yone: Fate Sealed (R) — 120/100/80-second base cooldown. Yone’s R is a global dash + knockup that can hit multiple champions. Unlike pure physical assassins, Yone deals both physical and magic damage — FLUX applies regardless of damage type, so kills from Yone’s magic damage component (E and Q3 magic hits) still count. APOTHEGM in Arena adds +20% to Fate Sealed’s full damage — particularly impactful as Yone R’s base damage and AD scaling benefit proportionally. AH from Axiom Arc tightens Q Soul Unbound (E) cooldown for more frequent Yone E reset-chain kills.
• Fiora: Grand Challenge (R) — 100/85/70-second base cooldown. Fiora’s R creates a 5-vital hunt on the target champion — FLUX fires if Fiora kills the target during or after the R. The R’s timing often means the kill occurs well within 3 seconds of Fiora’s last damage (she’s attacking continuously during the R). AH from Axiom Arc tightens Lunge (Q) cooldown for faster vital-seek patterns, and FLUX’s cooldown refund on the kill directly accelerates the next target’s Grand Challenge availability. In split-push dueling where Fiora fights repeatedly in the side lane, FLUX accelerates R across multiple 1v1 sequences.

Situational

• Rengar: Thrill of the Hunt (R) stealth hunt — 130/115/100-second base cooldown. Rengar’s R provides stealth approach for the kill setup — FLUX fires on the kill secured through the R-enabled assassination. AH tightens Rengar’s empowered ability stack cooldowns. Situational because Rengar’s primary build direction can favor other lethality items (Edge of Night for spell shield, Opportunity for OMEN burst) over Axiom Arc depending on the matchup.
• Viego: Harrowed Path (R) — mist-zone creation. Viego’s FLUX synergy comes from his passive Sovereign’s Domination: possessing a dead champion creates rapid damage sequences where kills generate FLUX. Situational because Viego’s build diversity (AP, AD, on-hit) means Axiom Arc isn’t always the correct R-cooldown item.

Not Recommended

• Champions whose ultimate is utility/CC rather than damage-and-kill: Malphite R Unstoppable Force, Amumu R Curse of the Sad Mummy, Leona R Solar Flare — these ultimates are engage tools whose value comes from CC application, not kills. FLUX rarely fires because the holder is a tank/support who doesn’t secure the kills personally. The item’s passive provides zero value in these cases, reducing it to 55 AD + 20 AH + 18 lethality at 2,750g — mismatched for tank/support profiles.
• AP mages: FLUX scales with lethality — a stat that provides zero value for AP builds. Axiom Arc’s 55 AD is wasted on AP champions, and APOTHEGM’s +20% R damage in Arena applies to the AP R’s damage, but the overall stat profile (AD + lethality + AH) is entirely wrong for AP mages.
• Champions who rarely use R as the primary kill tool: Some champions treat R as a utility ability (Renekton R for size + tankiness, Gangplank R for zone control) rather than the primary kill mechanism. FLUX fires on kills within 3 seconds of damage — the holder must deal the killing damage, and the R cooldown refund only matters if the R is actually the primary skill being cycled. If R is rarely used or has situational value, Axiom Arc’s passive is largely wasted.

⚙️ Recommended Build Paths

Zed — Maximum Lethality FLUX Cycle Build

1. The Brutalizer — First back (1,337g): 30 AD + 15 AH + 10 lethality; R cooldown begins reducing immediately; FLUX at 10 lethality (pre-full-item): 16.5% refund
2. Axiom Arc — First item (2,750g): FLUX active at 18 lethality = 17.7% refund per kill; 55 AD + 20 AH + 18 lethality; total AH now enables meaningful R cycle reduction
3. Youmuu’s Ghostblade — Second item: +55 AD + 15 AH + 18 lethality; HAUNT active +20% MS for approach; total lethality 36 → FLUX 20.4% per kill; HAUNT + Death Mark R dive pattern
4. Edge of Night — Third item: +50 AD + 15 AH + 10 lethality + spell shield; total lethality 46 → FLUX 21.9%; spell shield blocks CC that would prevent the kill and FLUX trigger
5. Opportunity — Fourth item: +60 AD + 10 AH + 15 lethality + OMEN bonus lethality on first hit; total lethality 61+ → FLUX 24.2%+; OMEN first-hit lethality amplifies the kill-burst that enables the 3-second FLUX window
6. Serpent’s Fang — Fifth item (vs shielded targets): SHIELDREAVER passive; 60 AD + 15 lethality; shields absorbed before kills enable the FLUX window to open

Nocturne — Global R Cooldown Compression

7. The Brutalizer — First back (1,337g): 15 AH immediately reduces Paranoia’s effective CD; at 15 AH, 160-second R base → 139.1s effective
8. Axiom Arc — First item (2,750g): FLUX 17.7% on ~114s effective CD at 40 AH total = 20.2 seconds refunded per gank kill; 20 AH from item + 15 AH from Brutalizer = 35 total AH
9. Youmuu’s Ghostblade — Second item: +18 lethality; 36 total lethality → FLUX 20.4%; HAUNT MS active for closing distance post-R arrive
10. Umbral Glaive — Third item: HEADHUNTER ward detection; vision denial ensures safe Paranoia R approach and clean 3-second kill windows for FLUX
11. Serylda’s Grudge — Fourth item: REND 30% armor penetration + slow on ability hit; armor pen bypasses tank targets‘ armor where lethality efficiency drops off; slow enables Nocturne to chase the kill within the 3-second FLUX window
12. Maw of Malmortius — Fifth item: LIFEGRIP AP shield; MR + AD; survives AP burst during dives that are required to secure the kill enabling FLUX

🔄 Similar Items — Lethality AD & Ultimate Enhancement Family

❌ Common Mistakes & How to Avoid Them

• Building Axiom Arc on champions who don’t kill with the R or whose R is a utility ability: FLUX only fires on kills within 3 seconds of the holder dealing damage — if the holder’s R doesn’t enable kills directly (tank engage ultimates, support R utilities), FLUX never fires and Axiom Arc is a 2,750g purchase for 55 AD + 20 AH + 18 lethality. Verify that the champion’s R is both the primary kill tool AND that the holder personally secures kills before purchasing Axiom Arc. On champions where the R enables kills for teammates (support engages, CC ultimates), those kills don’t trigger FLUX for the holder.
• Misunderstanding the 0.5-second floor — expecting a full R reset on kill: FLUX cannot bring the R to 0 cooldown. The minimum floor of 0.5 seconds means even in a scenario where a FLUX refund would technically overshoot the remaining cooldown, the R still has 0.5 seconds left. In rapid multi-kill sequences, this prevents back-to-back instant R usage. Plan around the 0.5-second floor: after a kill, the R will be available within 0.5 seconds at minimum floor, or at the remaining CD minus the FLUX refund percentage — not at 0.
• Ignoring the AH interaction on FLUX’s absolute second refund: FLUX refunds a percentage of the total (AH-reduced) cooldown — not the base cooldown. Higher AH → lower effective total CD → smaller absolute second refund from FLUX. At very high AH builds where the R is already nearly always available, FLUX’s additional refund becomes less impactful in absolute terms (though the percentage remains the same). Axiom Arc is most valuable in the mid-game when the R has a meaningful total cooldown and FLUX’s absolute second refund translates to real additional uses per game.
• In Arena, playing Axiom Arc as if FLUX is active: Arena completely removes FLUX and replaces it with APOTHEGM. A player accustomed to SR’s FLUX cooldown refund on kills will not see that benefit in Arena — R cooldowns run on their normal AH-reduced timers. The Arena playstyle shifts from kill-for-cooldown-refund to maximising single R usage by 20% damage amplification. These are fundamentally different gameplay patterns — adjust accordingly when in Arena.
• Not securing the kill personally within 3 seconds of own damage: FLUX requires the HOLDER to both deal damage and secure the takedown within 3 seconds. In teamfight scenarios where an ally secures the kill that the Axiom Arc holder set up, FLUX does not trigger for the holder — even if the holder dealt significant damage. FLUX is a solo carry reward mechanic: the holder must be the one who secures the takedown within their own 3-second damage window. In team-play contexts, this means prioritizing the kill-securing hit rather than passing it to allies.

✅ Best Practices

• Build Axiom Arc when the R has a meaningful cooldown (60+ seconds total) and the champion is in a kill-frequent playstyle: FLUX’s absolute value scales with both the R’s total cooldown length and kill frequency. The highest FLUX value scenarios are assassins with 80–160 second base R cooldowns (Zed, Nocturne, Talon at early levels) who secure kills consistently in split-push or gank sequences. In games where kills are rare (defensive, long teamfight-based games), FLUX triggers less frequently and the R cycling benefit is lower — consider whether the game’s kill frequency justifies Axiom Arc over alternatives.
• Stack lethality across the build to maximise FLUX’s per-kill percentage refund: Every additional lethality point adds 0.15% to FLUX’s refund. At 60 total lethality (Axiom Arc + two other lethality items), FLUX refunds 24% per kill — a meaningful improvement over the 17.7% at 18 lethality alone. Full lethality builds (Axiom Arc + Youmuu’s + Edge of Night or Opportunity) deliver the highest FLUX percentage while also maximising armor penetration for kills. The lethality investment in FLUX is directly efficient — it’s a two-for-one where lethality both improves kill potential and improves the post-kill cooldown refund.
• Track the R cooldown during multi-kill fights to know when FLUX refunds enable an additional R use within the same fight: In extended teamfights with 3–5 kill opportunities, track the running R cooldown and each FLUX refund mentally. After the first FLUX trigger, calculate whether a second R use might be available if additional kills come within the fight window. This is particularly relevant for Talon (AoE blade burst R) and Qiyana (AoE R can hit multiple champions) — whose R can generate multiple FLUX triggers from one cast if the blades/shockwave hit multiple kill-eligible champions simultaneously.
• In Arena with APOTHEGM, prioritise maximising the R’s single-use damage rather than building for R frequency: APOTHEGM changes the optimization target — instead of accelerating how often the R is available, maximise how much damage the R deals when it fires. Pair Axiom Arc with items that scale the R’s base damage: lethality for physical R abilities, armor pen for tank targets, AD for scaling. The 20% flat multiplier applies to the full R damage regardless of what components build it — every point of AD/lethality/pen scales the amount APOTHEGM amplifies by 20%.
• Pair with The Collector for the 5% HP execute to guarantee kills within the 3-second FLUX window: The most common FLUX failure scenario is a target surviving at very low HP (sub-5%) and the kill window expiring before the holder can finish them. The Collector’s DEATH passive — executing targets below 5% HP — directly closes this gap by converting near-kills into guaranteed kills within the engage window. The Collector + Axiom Arc is a strong combination: DEATH ensures FLUX fires on targets who would otherwise survive the combo, and the 20 lethality from The Collector itself amplifies FLUX’s percentage refund.

🎬 Final Summary

Axiom Arc is the definitive R cooldown management item for kill-heavy lethality assassins — a 2,750 gold legendary that converts the assassin’s core win condition (kills) into a direct mechanical advantage (faster R availability). FLUX’s 15% + (0.15% per lethality) total cooldown refund per kill creates a compounding loop: full lethality builds maximise both the kill potential (more lethality = more armor penetration = faster kills) and the FLUX refund per kill (more lethality = higher FLUX percentage). The two scale together — the same items that enable kills also amplify the post-kill R cooldown reduction.

The 0.5-second cooldown floor and the 3-second kill window requirement define the boundaries of FLUX’s power. FLUX cannot provide instant R resets, and kills must be secured by the holder personally within 3 seconds of their own damage. These constraints make Axiom Arc a solo carry performance item — it rewards the player who opens kill combos and closes them personally, not the player who sets up kills for teammates. In coordinated team compositions where kills are shared, FLUX triggers less frequently and the item’s value per game decreases accordingly.

The Arena transformation to APOTHEGM (+20% R damage) is a fundamentally different use case that turns Axiom Arc into a burst damage amplifier. Two entirely different champions may prefer Axiom Arc in Arena versus SR — the Arena version’s +20% R damage benefits champions whose R is their primary burst tool (Samira, Zed, Yone), while SR FLUX benefits champions whose R has a long cooldown and who fight in kill-frequent environments (Nocturne, Zed, Talon). Understanding which passive is active in which mode is essential for using the item correctly.

📝 SEO & Meta Information

Related Articles

• Edge of Night — Complete Item Guide 2026
• Youmuu’s Ghostblade — Complete Item Guide 2026
• The Collector — Complete Item Guide 2026
• Opportunity — Complete Item Guide 2026
• Serpent’s Fang — Complete Item Guide 2026
• Serylda’s Grudge — Complete Item Guide 2026
• Duskblade of Draktharr — Complete Item Guide 2026
• Umbral Glaive — Complete Item Guide 2026
• Maw of Malmortius — Complete Item Guide 2026
• The Brutalizer — Complete Item Guide 2026
• Best Lethality Items Tier List 2026

FAQ

Q: How exactly does FLUX calculate the cooldown refund?

A: FLUX refunds a percentage of the ultimate’s total cooldown — the effective (AH-reduced) total cooldown, not the remaining cooldown at the time of the kill. Formula: 15% + (0.15% × lethality). At 18 lethality (Axiom Arc only): 17.7% of the effective total R cooldown is refunded. At 60 total lethality: 24% of the effective total CD is refunded. Example: Zed’s R at 40 AH has a 85.7-second effective CD. FLUX at 17.7% returns 85.7 × 0.177 = 15.2 seconds. The cooldown cannot be reduced below 0.5 seconds — FLUX cannot provide a full instant R reset.

Q: Does FLUX work if an ally secures the kill I set up?

A: No — FLUX requires the Axiom Arc holder to personally secure the takedown within 3 seconds of dealing damage to the target. If an ally takes the kill, FLUX does not trigger for the Axiom Arc holder regardless of how much damage the holder contributed. FLUX is a solo carry performance mechanic — it rewards the player who both deals damage to and closes the kill on the same target. In team compositions where kills are shared or assists are common, FLUX triggers less frequently than in solo split-push or 1v1 kill scenarios.

Q: What is the 0.5-second cooldown floor?

A: If FLUX’s refund would reduce the R’s remaining cooldown to 0 (fully resetting it), the cooldown is instead set to 0.5 seconds — preventing an instant re-use. This floor applies even if the remaining cooldown is already below 0.5 seconds when FLUX fires. In practice, FLUX can make the R available almost instantly after a kill (0.5 seconds after FLUX fires), but never provides a true instant reset within the same combo. The 0.5-second floor prevents kill-chain scenarios from cycling R continuously without any delay.

Q: Why is FLUX removed in Arena?

A: Arena has different balance considerations than SR — Riot removed FLUX in Arena because cooldown refund on kills in Arena’s 2v2 short-round format would be significantly more impactful than in SR’s longer games. Instead, APOTHEGM (+20% ultimate damage) was added to maintain Axiom Arc’s identity as an ultimate-empowering item in Arena without the cooldown cycling risk. The AD is also reduced to 45 (from 55) in Arena alongside the passive swap — a net balance trade that makes Arena Axiom Arc a burst amplifier rather than a cooldown-compression tool.

Q: Is Axiom Arc good on Samira?

A: Situationally — Samira’s R Inferno Trigger has an extremely short base cooldown (~8 seconds), so FLUX’s percentage refund returns only 1–2 seconds per kill in SR/ARAM. The absolute second refund is small, but in rapid multi-kill sequences where 2–3 seconds can mean the difference between having R available for the next target, FLUX’s contribution adds up. In Arena, APOTHEGM’s +20% R damage is directly impactful on Samira R’s full spin duration — making Axiom Arc notably stronger on Samira in Arena than in SR. The AH from Axiom Arc also tightens Samira’s style-stack generation abilities, indirectly accelerating R availability through faster ability cycling.

Q: Does building more lethality always improve FLUX?

A: Yes — FLUX scales linearly with lethality at +0.15% per point. Every lethality item in the build simultaneously increases kill potential (more armor penetration through lethality) and increases the FLUX cooldown refund per kill. There is no diminishing return on lethality’s FLUX contribution — the 60th lethality point adds 0.15% FLUX exactly the same as the first point. Full lethality assassin builds (60+ lethality) maximise both axes simultaneously, making lethality stacking the correct optimization path for Axiom Arc holders.