Alegra Equations

Cinevva's analyzer read this game's design doc and its source, then wrote the brief below. "Make your own" hands it to the game creator as your opening message, so you start from a real spec rather than a one-line idea.

Create a third-person 3D educational exploration game titled “Alegra: Realm of Equations” (also presented as Alegra Equations). Set it in a dark blue, foggy fantasy academy grounds at night/dusk. Use a low-poly stylized look with a deep navy sky/background, blue-green ground, soft shadows, cool cyan magical lighting, and warm highlights. The camera follows the player from behind at an over-the-shoulder/third-person distance and supports movement through the world; include responsive desktop movement and a large translucent circular virtual joystick/control at the lower-right on touch-sized displays, matching the mobile-oriented presentation.

The player character is Alegra, a stylized low-poly girl/young adventurer centered in the scene. Build her from simple 3D primitives: warm brown skin, dark curly hair made of many rounded curls, a gold headband, a green vest over a pale shirt with pale sleeves, a purple skirt, bare warm-brown legs, dark green boots, and a short gold staff held at her side with a glowing cyan gem at its tip. She begins near the foreground at approximately the start of a long academy path. A small hovering/animated robot tutor named EVS follows her: gold body and head, dark blue-gray arms and legs, gold hands/feet, one bright cyan eye, an antenna with a glowing cyan orb, and gentle floating/bobbing motion. The robot should reposition itself near and behind the player and face toward her.

Make the explorable academy grounds mostly open, with a broad blue-gray circular/path-like area ahead and a long route into the distance. Populate it with stylized trees on both sides: brown faceted trunks, rounded teal-green canopies, and small glowing cyan lights embedded near the canopy. Add floating/glowing cyan octahedral crystals around the route, dark rune pillars with bright cyan rings that rotate, and distant tall blue crystal spires. Use fog to fade distant scenery. Add a large Equation Gate at the end of the route around z=-33: two chunky dark stone side pillars, a stone lintel, gold arched trim, and a dark blue translucent portal/energy plane. Above it, display a bright framed equation sign reading exactly “3x + 5 = 20”.

The core goal is to explore the grounds, find the Equation Gate, and solve the two-step equation to unlock the academy path. The HUD is always visible as a clean dark translucent glass-like overlay with cyan borders and rounded corners. In the upper-left show the title “Alegra: Realm of Equations”, the mission text initially “Mission: Find the Equation Gate” (or the equivalent initial exploration mission), and “XP 0 / 100” in pale yellow. In the upper-right provide a clickable “Robot Guide” button. Clicking it opens a guide panel explaining: inverse operations (undo addition with subtraction and multiplication with division), the balance rule (perform the same operation on both sides), and the order for two-step equations (undo addition/subtraction first, then multiplication/division); end the guide with “Try it on the Equation Gate: 3x + 5 = 20.” Include a Close button.

When Alegra approaches the gate, show a bottom-centered hint such as “A luminous Equation Gate blocks the academy path. Walk closer to interact.” When she gets very close, open a centered Equation Gate dialog. It must show the current equation in large bold type, initially “3x + 5 = 20”, with explanatory text and exactly these choices: “Subtract 5 from both sides”, “Divide both sides by 3”, and “Reset equation”. If the player chooses subtract 5 first, change the displayed equation to “3x = 15” and explain that subtracting 5 from both sides keeps the balance and that the next step is to undo ×3. If the player chooses divide by 3 before subtracting, keep the equation unsolved and explain that they must first undo +5. If they try subtracting 5 again after it has already been removed, explain that it is not needed. The Reset button returns to “3x + 5 = 20” and the initial instruction.

When the player correctly chooses subtraction followed by division, complete the puzzle: award XP 100, change the mission to “Mission complete: Continue beyond the gate”, close the equation dialog, change the portal energy from dark blue to bright green/turquoise, and move/open the gate elements slightly to communicate that the academy path is open. Show a robot message like “Brilliant balance! x = 5. The academy path is open.” Incorrect actions should generate short robot feedback messages. On first load, show a temporary welcome message equivalent to “Alegra: The Academy of Equations awaits. Explore the path and find the corrupted gate.” Also support a state where the opening dialog/message says the realm feels different and asks the player to discover what the corrupted equations changed, as seen in the visual presentation.

Use lighting with a bright cool hemisphere light, a warm directional key light that casts soft shadows, and a subtle blue fill. Keep the interface legible over the world: dark navy panels, pale cyan/white text, cyan outlines, pale yellow XP/highlight text, and a centered toast/message panel near the top. Preserve the uncluttered mobile screenshot composition: Alegra visible from behind in the center, the robot/academy scenery ahead, large HUD title panel upper-left, Robot Guide button upper-right, and dialogs/toasts layered above the 3D world. There are no combat enemies, weapons, lives, ammo, or scoring systems beyond the equation interaction and XP reward.