3. Points, Levels, and Energy: Engaging Through Progression

To enhance user interaction and create long-term engagement, Fansland.ai introduces a comprehensive point and leveling system that ties into the $AIT gameplay.

3.1 Points System

Points are an integral part of the Fansland ecosystem, providing users with incentives for regular activity. Users can earn points by completing a variety of tasks, such as:

• Daily Tasks: Simple activities like visiting the platform, following idols, or watching a video can reward points and etc.

• Advanced Tasks: Engaging in higher-level activities such as voting, trading, or interacting with idols generates more points.

• Referrals: Bringing new users to the platform or sharing idol content through social media will yield additional points, encouraging viral growth.

• Users earn points based on the value of each transaction they make. The points awarded are proportional to the SOL amount transacted:

$$P = a \times \lfloor 1000 \times x \rfloor$$

Where:

• P: Points awarded

• a: Base points constant, set to 10

• x: Transaction amount in SOL (including platform fees)

• 1000: Multiplier to scale points for each transaction of 0.001 SOL

• ⌊...⌋: Floor function, rounding down the result

Points can be used in specific activities to boost different virtual idols' rankings, earning contribution points. These contribution points can provide users with profit-sharing from the associated AIT, along with exclusive benefits such as limited-edition rewards, and even free concert tickets for live performances. Details to be released.

3.2 Leveling System

Users progress through Fibonacci-based levels, with each level offering more rewards, higher energy regeneration, and increased influence over idol-related decisions.

The user level in Fansland is determined using a Fibonacci-inspired formula that progressively increases the required points for each level. This system is designed to balance early progression with more significant milestones at higher levels.

The formula for calculating the minimum points required to achieve level n, denoted as F(n), is as follows:

$$\left\{ \begin{array} {lr} F(n) = F(n-1) + F(n-2) + 2000 , & 3\leq n\leq 30\\ F(1) = 0 , & n = 1 \\ F(2) = 2000, & n = 2 \\ \end{array} \right.$$

• Level 1: Entry-level users gain access to basic tasks and rewards.

• Level 2 and Above: As users earn more points and gain experience, they can unlock advanced features, including the ability to impact idol ranking, vote in higher-level decision-making, and participate in exclusive events.

Each level requires a specific number of points to unlock, with the required points growing exponentially, making higher levels a rewarding challenge.

3.3 Energy System

Each user on the platform also has an energy pool, which is essential for interacting with various features and completing tasks. The energy pool and energy recovery are directly tied to the user's level, as outlined below:

Energy Capacity Formula The maximum energy capacity E for a user at level n is calculated as:

$$E=50 \times (n+1)$$

Energy is the core resource that governs a user’s activity within the Fansland ecosystem. Here’s how it works:

• Energy Slots: Each user has a maximum energy capacity, which increases with their level. For instance, a level 1 user may have 50 energy points, while a level 5 user can have 200 energy points.

• Energy Recovery: Energy regenerates automatically over time (every 2 minutes), with higher-level users recovering energy at a faster rate. Users can also gain energy by participating in activities such as trading tokens or completing high-value tasks.

  • Energy recovers automatically over time. Every 2 minutes, the user's energy will increase by ΔE = n + 1 ​

• Energy Use: Interactions with the platform, such as voting, sharing content, or purchasing tokens, consume energy. The higher the level, the more energy a user can accumulate, enabling them to perform more actions and, consequently, earn more points.

3.4 Energy Recovery via Transactions

Energy can also be recovered through platform interactions like token trading. Every time a user completes a transaction, they recover energy based on the transaction amount.

The formula is simple:

$$ΔE=n \times \lfloor100 \times x \rfloor$$

Where:

• ΔE is the energy gain

• n: represents the user's level

• x is a variable (possibly transaction value or activity multiplier)

• ⌊...⌋ rounds down to the nearest integer

This formula implies that higher-level users will receive more energy from a given activity, and the amount of energy increases with both the user's level and the value of x.

This creates an added incentive for users to remain active, encouraging them to participate in the economy regularly.