"There's one more thing I'd like to show you," Nicholas said, standing. "Something quite extraordinary that's happening right now in the Muggle world."

  "The Muggle world?" Rowan asked, surprised.

  "The French have always maintained better relations between magical and non-magical communities than Britain," Perenelle explained as they left the garden. "We don't have the same rigid separation. Many French wizards follow Muggle developments with genuine interest, especially in engineering and architecture."

  They walked back through the magical quarter until Nicholas stopped at what appeared to be a blank wall. He tapped a specific sequence of bricks, and a doorway opened. Not into another magical space, but onto an ordinary Parisian street.

  The transition was jarring. The magical quarter had been grand, colorful, impossible. This was just... Paris. Cobblestones, gas lamps beginning to flicker on as evening approached, the smell of horses and smoke and humanity compressed into urban space.

  But Nicholas led them with purpose, navigating streets with the confidence of someone who'd walked them for centuries. They turned a corner, then another, and suddenly Rowan stopped.

  In the distance, rising from the Champ de Mars like a skeletal giant, stood the beginnings of something massive. Iron lattice work, barely started but already imposing, stretched upward in four enormous legs that curved toward a point that didn't yet exist.

  "The Eiffel Tower," Nicholas said with evident satisfaction. "They started construction in January. It's going to be over three hundred meters tall when finished. Tallest structure in the world. Built entirely from iron, using engineering principles that most people can't comprehend."

  They walked closer, joining a small crowd of Parisians who'd gathered to watch the construction. Even incomplete, the structure was breathtaking. Rowan could see workers high above, tiny figures moving along the iron framework, riveting beams into place with methodical precision.

  "Why show me this?" Rowan asked.

  "Because," Perenelle said quietly, "we need to remember that Muggles are capable of extraordinary things. Through ingenuity, mathematics, engineering. This tower, when it's finished, it will be proof that non-magical humans can create marvels through pure intellect and determination."

  "The magical world tends to forget that," Nicholas added. "We look at Muggles and see people without magic, therefore lesser. But look at this." He gestured at the rising iron structure. "They're building something taller than any magical structure in Britain. Using principles of physics and engineering that most wizards couldn't begin to understand. And they're doing it without a single spell."

  Rowan stared at the construction, understanding dawning. "You're showing me this because of what I'm trying to do. Bridging magical and non-magical approaches."

  "Exactly." Perenelle moved closer to the barrier surrounding the construction site. "The future you're trying to build, where Muggleborns aren't dismissed as inferior, where innovation is valued regardless of blood status, it requires understanding that magic isn't the only source of human achievement. Muggles have been solving problems and building wonders for millennia without magic. That's resourcefulness. Solving problems without the tool most wizards consider essential."

  "When this tower is finished," Nicholas said, "millions of people will visit it. It will become a symbol of human achievement, of what can be accomplished through reason and engineering. And pure-blood wizards will dismiss it as 'Muggle construction,' as though that makes it less impressive." He smiled slightly. "But we know better. Innovation is innovation, whether achieved through magic or mathematics."

  They stood watching as the sun set behind the incomplete tower, the iron framework turning to black silhouette against orange sky. Workers were descending now, their day's labor complete, the structure a few meters taller than it had been that morning.

  "Progress happens incrementally," Perenelle said softly. "This tower is rising piece by piece, beam by beam, with workers calculating stress loads, weight distribution, and structural integrity. Each piece must be perfect before they can add the next. That's true for any worthwhile project."

  "Like changing the wizarding world," Rowan said.

  "Like changing the wizarding world," she agreed. "You can't force transformation overnight. You build it carefully, piece by piece, ensuring each foundation is solid before adding the next level. Rush the process, and everything collapses."

  They watched a few minutes longer before Nicholas finally stirred. "Come. One final stop before we head home. The best part of any birthday."

  He led them to a patisserie whose window display featured cakes that defied physics. Floating layers, frosting that flowed like water then solidified, decorations that moved and rearranged themselves. Inside, the smell was overwhelming in the best possible way. Chocolate and vanilla and caramel and dozens of other scents Rowan couldn't identify.

  "Choose anything," Nicholas said. "And I mean anything. Perenelle and I have been alive for five hundred years. We've celebrated more birthdays than most people have memories. We know what makes a good birthday cake."

  Rowan selected a cake that caught his eye. Relatively small, chocolate with what appeared to be stars of white chocolate scattered across the frosting. But when the shopkeeper boxed it up and handed it over, Rowan noticed the stars were actually moving slowly across the frosting's surface, tracing the actual constellations visible in the night sky.

  "Astronomical cake," the shopkeeper explained in accented English. "The stars track real-time positions. Very popular with astrologers and diviners. Also delicious."

  Back at the Flamel residence, they ate the cake in the garden as real stars emerged overhead. The cake was indeed delicious. Rich chocolate with some subtle magical enhancement that made each bite taste slightly different, like experiencing the same flavour from multiple angles simultaneously.

  "I've been thinking about your telegraph device," Nicholas said. "The central hub design you sketched the other day."

  "The scaling problem," Rowan said immediately. "Individual paired devices work, but creating a network requires something more sophisticated."

  "Exactly. And solving that problem requires runic work that goes far beyond what we've covered this summer." Nicholas set down his fork. "The arrays you've been creating. Nine runes, maybe twelve in your latest iteration. Those are genuinely impressive. You've progressed from basic single-rune inscriptions to complex multi-tier arrays in six weeks. Most students take two years to reach that level."

  "But a central hub would need what? Thirty runes? Forty?"

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  "Try a hundred and thirty, minimum." Perenelle pulled out parchment and began sketching. "You need separate sub-arrays for each function: maintaining sympathetic bonds to all devices, directing energy between specific pairs, preventing channel interference, regulating power distribution, containing failures. Each sub-array needs its own regulatory and binding runes. Then you need master runes coordinating everything. Multiple Gebo runes in concentric circles for routing, Jera for cycling between active connections, Ingwaz to separate channels, Ehwaz for long-distance bridging. The geometric complexity is staggering."

  She drew as she spoke, and Rowan watched arrays branch and interconnect, forming patterns that made his attempted hub design look like a child's drawing.

  "That's mastery-level runic work," he said slowly.

  "Yes. The kind of arrays that take most practitioners twenty years to learn to construct reliably." Nicholas took another bite of cake. "Of course, 'most practitioners' doesn't necessarily include you. You've already surpassed fifth-year Ancient Runes in one summer. You understand the underlying principles, which matters more than memorizing traditional arrays."

  "Fifth-year?" Rowan frowned. "I thought... the book said most of what I was doing was third or fourth-year level."

  "The book was written forty years ago, and its difficulty ratings assume students are learning one rune at a time, memorizing meanings without understanding geometry." Perenelle's sketch had become incredibly complex. Arrays within arrays, runes connected by flowing lines that suggested energy pathways. "You've been designing novel arrays from first principles. That's fifth-year work at minimum, arguably sixth-year for some of your later iterations."

  "How long until I could attempt the hub design?"

  "Depends how hard you push yourself during the school year." Nicholas considered. "Ancient Runes is offered starting third year. If you take it then, work through the standard curriculum while supplementing with advanced texts we'll send you, continue experimenting during summers... three years? Possibly four?"

  "Three years is a long time."

  "Three years is remarkably fast for mastery-level runic competency." Perenelle rolled up her sketch. "Most adult wizards never reach that level. The fact that you could do it in three years, starting from zero knowledge six weeks ago, proves you're working at a level very few witches or wizards achieve."

  "But there's so much I still don't understand," Rowan protested. "Energy flow optimization, recursive binding structures, dynamic adaptation arrays—"

  "All topics covered in sixth and seventh-year advanced Runes, or in specialized Mastery programs." Nicholas grinned. "Which means you've got a solid foundation and a long way still to go. That's the right place to be."

  "The range is still limited," Rowan said. "The audio quality is poor. And I haven't even started on the security arrays."

  "All solvable problems. You'll refine it over the next few years, extend the range, and improve fidelity. Eventually, probably during your time at Hogwarts or shortly after, you'll solve the hub problem. And then you'll have created something that could genuinely change how wizards communicate."

  "If the Ministry doesn't shut it down," Rowan said.

  "They might try. Innovations that threaten established systems usually face resistance." Perenelle smiled slightly. "But that's a political problem, and you've got years to work on the political groundwork before you need to worry about Ministry interference."

  The weeks that followed found their rhythm again. Mornings with Perenelle, learning the twelve stages of the Great Work in detail. Calcination, dissolution, separation, conjunction, fermentation, distillation, coagulation, and the five others whose subtleties required weeks to grasp. Afternoons with Nicholas, pushing deeper into runic theory, attempting increasingly complex arrays that sometimes worked and sometimes scorched the copper plates or made sounds that had them all covering their ears.

  But now there were breaks. Walks in the garden where they didn't discuss magic at all, just pointed out interesting plants or complained about the heat. Trips to Paris for coffee at Les Trois Sorcières, where Rowan discovered he had strong opinions about the relative merits of different roasting methods. Evenings spent simply talking. About medieval France, about the witch hunts that were real and terrifying in ways Muggle histories never captured, about Nicholas's early failures that included three separate laboratory explosions and one incident with an entire year's supply of dragon's blood.

  "Ruined," Nicholas said mournfully. "Thirty-seven vials of properly aged dragon's blood, turned to worthless sludge because I miscalculated the fermentation temperature by two degrees. I wanted to quit alchemy entirely that day."

  "What stopped you?" Rowan asked.

  "Perenelle pointed out that quitting after a failure meant I'd just waste thirty-seven vials of dragon's blood and learn nothing. Whereas if I analyzed what went wrong, I'd waste thirty-seven vials and gain knowledge. Put that way, quitting seemed like the worse option."

  By late August, Rowan had a telegraph prototype that worked reliably over three hundred meters with clear audio. The arrays were intricate. Seventeen runes arranged in three concentric circles, with regulatory runes positioned at precise angles to prevent overload. It was his ninth iteration, and while it still couldn't approach the hub design's complexity, it proved the fundamental concept worked.

  "This is genuinely impressive work," Perenelle said, examining the latest copper disks. "Most master artificers would have been proud to create something this functional at your age."

  "It's still limited."

  "All innovations start limited. Then they improve." She handed the disk back. "You'll refine this over the next few years. By the time you're seventeen or eighteen, you'll probably have solved the hub problem and created something that could change how the magical world communicates. All meaningful innovations build one step at a time."

  On Rowan's final evening, the Flamels presented him with a wooden box. Inside lay a complete set of alchemical tools, scaled for student use. Crucibles, retorts, an alembic whose glass was so fine it seemed impossibly fragile, measuring instruments calibrated with runic precision.

  "You can't practice alchemy at Hogwarts," Nicholas said. "The dungeons aren't equipped, and the professors would object to students conducting transmutations unsupervised. But you can continue your theoretical studies, design experiments, plan for future work. When you have access to a proper laboratory again, holidays here, or eventually your own workspace, you'll have proper tools."

  Rowan touched the alembic carefully. The glass was cool, perfect, the kind of equipment he'd only seen in the Flamels' laboratory. "Thank you. For everything. The tools, the teaching—"

  "You've earned it," Perenelle interrupted. "And you're welcome back any time. Holidays, summer breaks, whenever you need advanced instruction or just somewhere to work. We don't take students lightly. Once we commit to teaching someone, that relationship doesn't end when summer does."

  The next morning, Rowan packed his trunk. It was considerably heavier now. New books, alchemical tools, seventeen notebooks filled with theory and experimental results, two working telegraph prototypes wrapped in cloth to prevent damage. The Flamels stood in the courtyard as he prepared to take the Portkey.

  "Work hard at Hogwarts," Nicholas said. "But not so hard you forget you're twelve. You've got decades to change the world. Let yourself be a student sometimes."

  "Write to us," Perenelle added. "Questions, updates on your work, anything. We can provide guidance by letter."

  "I will," Rowan promised. Then, because they deserved honesty: "Thank you for... you treated me like I mattered. Like my ideas were worth taking seriously. Adults don't usually do that for twelve-year-olds."

  "Your ideas are worth listening to." Perenelle's expression was serious. "You're going to accomplish remarkable things, Rowan. We're certain of it. Just remember to build a life while you're changing the world. Otherwise the world wins."

  The Portkey activated.

  Rowan stumbled into Professor Weasley's office, steadying himself against the edge of her desk.

  "Mr. Ashcroft," she said, looking up from organizing papers. "Good summer?"

  "Yes, Professor. Very productive."

  "I'm sure it was. Settle in quickly. The welcome feast is in two hours." She handed him his class schedule. "Second year. You'll find the curriculum more challenging than first year, though I suspect you've already read ahead."

  "Some."

  "Of course you have." She almost smiled. "Try not to let the attention distract you from your studies."

  "I won't, Professor."

  Rowan picked up his trunk and stepped out into the corridor.

  Students filled the hallway, heading toward their common rooms to unpack before the feast. The moment he emerged from Weasley's office, conversation stopped.

  All eyes turned toward him.