Side Story: Imaginary Circle
The purple crystal crackled overhead. Lilith stood near the parapet, Astaroth to her left, watching the city stretch below. The demon lord’s ice-blue horns caught the morning light, frost crystallizing along their edges despite the mild temperature.
Footsteps echoed from the stairwell. Paimon emerged onto the balcony, her yellow eyes sweeping the space.
They landed on Astaroth.
Her jaw tightened.
“What are you doing here?”
Astaroth’s head turned. His pale features remained still, expression carved from glacial patience. “Nice to meet you too. I see your warmth hasn’t diminished.”
“Save your pleasantries and answer the question.”
The temperature around Paimon rose perceptibly. Heat shimmer distorted the air near her shoulders.
Lilith cleared her throat.
Both demon lords looked at her.
“Since you’d both benefit from the lesson,” she said, “I figured it’d be more efficient to teach you simultaneously.”
Having them bounce ideas off each other might actually clarify some of the gaps in her own understanding. Magic worked intuitively for her—translating instinct into teachable theory remained the challenge. Two brilliant minds attacking her crude explanations from different angles could reveal patterns she’d otherwise miss.
Paimon’s hands curled. “You finally promised me a proper lesson. After weeks of delays. And I arrive to find him.” She gestured sharply at Astaroth. “We’re enemies. Rivals! He’ll use whatever you teach against me!”
“That might’ve been true before the Summit.” Lilith met her gaze. “Now you’re both allies, whether you like it or not. But you’re free to leave if you dislike the arrangement.”
The challenge hung between them.
Paimon’s eyes flicked to Astaroth, then back to Lilith. Her jaw worked silently.
Astaroth shifted his weight. “The Empress offers knowledge neither of us could reach alone.” His voice carried the melancholy weight of autumn rain. “Our conflict has persisted six centuries, Paimon. What difference does another decade make when measured against power we’ve both sought our entire lives?”
Silence stretched across the balcony.
Paimon’s fingers uncurled slowly. The heat shimmer faded.
“Fine.”
The word emerged clipped, grudging.
“Good.” Lilith turned toward the crystal. Its lightning arcs reflected in her eyes. “Then let’s begin with the fundamental problem you’re both facing.”
She paused, organizing thoughts that came too easily into words that needed careful construction. Teaching magic to beings who’d studied it for centuries required precision—one wrong metaphor could cement misunderstanding that would take years to unravel.
The crystal pulsed overhead. Energy crackled between its facets, following patterns Jacob had never consciously programmed but Lilith understood with absolute clarity.
Paimon stood rigid, arms crossed. Astaroth remained motionless, hands folded before him.
Neither looked at the other.
Lilith’s tail curved behind her, balancing her weight. This would require more than just magical theory. She’d need to navigate the minefield of their rivalry while extracting useful collaboration from six hundred years of mutual contempt.
The morning sun climbed higher. Umbra’s sounds drifted upward—construction, voices, the rhythmic clang of a distant forge.
She gathered her thoughts.
* * *
“High circle magic isn’t something I can simply teach you.” Lilith let the words settle. “Knowledge is essential, yes, but insight and talent matter just as much. What I can do is guide you along the correct path.”
The disclaimer was necessary. Her understanding came from Infinity’s lore and whatever she’d reverse-engineered from this body’s—instincts? Memories? She still lacked proper terminology for the knowledge that simply existed in her mind, arriving fully formed when needed. Not exactly proper teaching material. She just hoped they wouldn’t think she was mocking them.
Three small circles materialized above her palm, rotating in steady orbits. Light traced their edges in soft violet.
“Up to fifth circle, increasing complexity is straightforward. You add additional matrices, layer them carefully.” The circles spun faster. “Like building scaffolding.”
She added a fourth matrix. Then a fifth.
The glow intensified. The rotation stuttered.
“But above fifth circle, the interconnected matrices start interfering with each other.” She added a sixth. The light flickered erratically. “Which forces you to either increase the space between them or pour more power to overcome the interference.”
The construct trembled. Energy bled from the edges.
“Both solutions increase mana consumption exponentially.”
She released her focus. The matrices collapsed in a shower of sparks.
Paimon’s expression didn’t change. “That’s one of the first lessons mages learn after reaching fifth circle.” Her tone suggested disappointment. “The reason most them plateau at sixth or seventh. No amount of raw mana overcomes the eighth circle wall—it requires a shift in methodology.”
“True.” Lilith met her gaze. “But there are exceptions.”
She raised her hand. A new construct formed—vastly more complex, layers upon layers of interlocking geometric patterns. The matrices bled mana visibly, glowing far more intensely than the previous demonstration. The spell spread outward from her palm, filling roughly a quarter of the balcony’s interior.
Purple light washed across Paimon’s face. Her eyes widened fractionally.
Astaroth leaned forward. Frost crystallized along his collar as his attention sharpened.
Good. Show them the divide. Keep them from questioning your authority.
“Most mages overcome interference through stabilization.” Lilith added smaller matrices around the primary structure, intricate corrective patterns that wove between the larger components. “Handling the interference, correcting mana flow, preventing collapse. Still increases cost, but to a lesser degree.”
The glow diminished. The mana bleed reduced to a faint shimmer.
Paimon’s jaw tightened. “I already do that. At most I can sustain a single tenth circle spell.” She gestured sharply at the construct. “There must be more to it.”
“Patience.” Lilith let a hint of command enter her voice. “We’re getting there.”
She dismissed the matrix. Purple afterimages lingered in the air.
“Eleventh circle requires a completely different approach. The effects are grander, the matrices larger.” Her tail curved behind her. “The limitation comes from space itself.”
“The cost spikes again.” Astaroth’s melancholic tone carried certainty. “Sheer size and complexity create new problems. Distance between components during mana flow causes compounding loss.”
“Exactly.” Lilith nodded. “Eleventh circle forces you to expand your combined matrix just to fit the entire spell without short-circuiting the flow. Even stabilization matrices—which helped before—become part of the problem.”
She raised both hands. “This is how large the simplest eleventh circle matrix looks under normal circumstances.”
The construct bloomed outward. Massive interlocking circles filled the balcony’s interior, stretching from floor to ceiling. The purple crystal overhead crackled as energy surged through the space. Her mana drained rapidly, a steady hemorrhage she felt in her chest.
Paimon took an involuntary step back.
Astaroth’s eyes tracked the outermost matrices, calculating.
“Even I could only cast a single spell using this configuration.” Lilith’s voice remained steady despite the drain. “Perhaps two if I was fast enough.”
She snapped her fingers—a gesture she’d grown fond of.
The massive construct collapsed inward. Every matrix, every stabilizing pattern, every correction circuit converged around her in a compressed sphere of interlocking geometry. Two feet in radius, suspended at chest height, radiating concentrated power without the catastrophic mana bleed.
The drain stopped.
Astaroth stared at the sphere.
“How?”
* * *
She dismissed the matrix. The compression vanished, leaving only the purple afterglow.
Her chest felt hollow. Half her mana, maybe more, burned through demonstrations. Necessary expense. The shock on their faces confirmed it—worth every drop.
“Let me show you something smaller.” She raised her palm. A third-circle matrix materialized, the same construction she’d used to demonstrate interference earlier. Three rotating circles, layered and interconnected.
But different.
She held it steady. “Look closely. Tell me what’s wrong with this matrix.”
Paimon leaned in first, yellow eyes narrowing. Astaroth followed, glacial gaze tracking the geometric patterns.
Silence stretched. The purple crystal overhead crackled.
Paimon’s brow furrowed. “The spacing is… wrong. Too tight.” She gestured at the inner matrices. “They should be collapsing into each other.”
“Yet they’re not.” Astaroth’s voice carried a note of confusion. His frost-pale hand traced an invisible line through the air. “The circles seem to be—overlapping. In the same space.” He looked at her. “How is that possible? The matrices should interfere. Destroy the entire structure.”
There it was. The question she’d been waiting for.
Lilith let the matrix continue spinning. “They seem to occupy the same space. But they don’t. Not entirely.”
She expanded a portion of the matrix, isolating two circles that appeared to share identical coordinates. The geometric patterns looked like they’d been stamped on top of each other—impossible, given everything both demons had just stated about interference.
“Every circle exists along multiple axes. Length, width, depth.” She indicated each dimension as she spoke. “Traditional magic uses only those three. Which limits how tightly you can compress your matrices before they collide.”
Paimon’s tail lashed. “There are only three spatial dimensions.”
“Are there?” Lilith shifted the matrix. The overlapping circles separated—not outward into normal space, but along a vector that had no physical direction. One circle remained visible while the other… receded. Still present. Still functioning. Just occupying a different geometrical position that couldn’t be pointed to.
Astaroth went very still.
“Think of it as…” How did Jacob even conceptualize this? The knowledge existed in her mind like muscle memory, intuitive and complete. Finding words for it felt like explaining color to the blind. “A rotation through a direction that doesn’t exist in physical space. The matrices shift along an imaginary axis, allowing them to coexist without interfering. I expose only small portions at the same coordinates to transfer mana between circles.”
“Imaginary.” Paimon repeated the word flatly. “You’re describing fantasy.”
“I’m describing eleventh-circle methodology.” Lilith met her gaze. “This is what you’re lacking. Both of you. Without this insight, you’ll remain at tenth circle for centuries. Possibly millennia.”
The dismissal stung. She saw it in Paimon’s stiffening posture, Astaroth’s subtle flinch.
Good. Pride motivated demons better than encouragement.
“Twelfth circle requires a different approach entirely.” She let the matrix dissolve. “But that’s beyond the scope of today’s lesson. For now, we focus on eleventh.”
Astaroth’s eyes tracked the fading light. “How did you develop this?”
The question landed like a trap.
How did she explain game mechanics? The Spellcraft system’s node-based programming, where imaginary-axis compression was just an unlockable feature once you reached certain thresholds? The desperate hours spent fiddling with mathematical constants during Infinity’s early days, when top-tier players hoarded every advantage?
She’d been first to eleventh circle on the European server. Not through genius—through necessity. A guild war she couldn’t afford to lose. An enemy player with better gear and worse positioning. She’d needed power, immediately, and the game’s sandbox design rewarded experimentation over caution.
“Desperation,” she said finally. The word tasted true enough. “I faced an opponent I couldn’t defeat with conventional magic. So I stopped using conventional methods.”
Paimon’s expression shifted. Still sceptical, but listening.
“I studied the fundamental structure of mana itself. How it flows, how it intersects, where the breaking points occur.” Lilith’s tail curved behind her. “I experimented with geometries that shouldn’t work according to traditional theory. Most of them didn’t. But eventually…”
She trailed off. Let them fill the silence with their own conclusions.
Astaroth nodded slowly. “Necessity breeds innovation.”
“Precisely.” She turned toward the balcony’s edge, where Umbra stretched below them. “I won’t pretend this will be easy to learn. The shift in thinking required is… substantial. But you’re both competent mages. More than competent. If you apply yourselves, you’ll grasp it.”
Eventually. Maybe. She had no idea how long this actually took to teach.
