> For the complete documentation index, see [llms.txt](https://docs.ultiland.io/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.ultiland.io/launchpad/about-ultigallery.md).

# About UltiGallery

### 1. Overview

UltiGallery is a two-phase AMM pricing mechanism designed for asset-backed token systems.

By combining a Real Pool and a Virtual Pool into an Effective Pool, UltiGallery provides a smooth, predictable, and fully absorbable price discovery curve for large-scale token exits after the underlying asset has been fully liquidated.

This mechanism is also referred to as the Virtual × Real UltiGallery (Virtual + Real UltiGallery).

The core objectives of UltiGallery include:

* Enabling full absorption of large-scale token sell-offs without relying on excessive real liquidity;
* Providing a complete, continuous, and interpretable buy-side price curve once sufficient consensus and trust have been established;
* Transforming residual value into incentives for early actions, while maintaining overall system solvency;
* Directly mapping real asset liquidation outcomes to token exit and trading experiences, rather than relying on arbitrarily defined prices.<br>

UltiGallery is activated only after the underlying asset has been fully liquidated and does not participate in pricing during the fundraising phase.

***

### 2. Core Invariant

During Phase II (the UltiGallery phase), the system strictly follows the constant product invariant:

effectiveUSDT × effectiveARToken = K

Where:

effectiveUSDT    = realUSDT    + virtualUSDT

effectiveARToken = realARToken + virtualARToken

#### Important Notes

* In the buy-side curve segment:\
  \- realUSDT = 0\
  \- virtualARToken = 0\
  \- Buyers always receive real ARToken
* In the sell-side curve segment:\
  \- Sellers always receive real USDT (or its equivalent asset -> ARTX)<br>

The value of K is determined at the moment UltiGallery is activated and remains constant throughout Phase II.

***

### 3. Phase I: Pre–Muse Singularity

#### Purpose

Phase I exists to provide minimal tradability and price reference before the asset is fully liquidated.

#### Mechanism

The system deploys a standard AMM pool using:

* 5% of ARToken
* 5% of USDT (or its equivalent asset -> ARTX)<br>

This pool is used solely to:

* Provide basic trading functionality
* Establish an initial price reference for the market

#### Important Clarifications

* Phase I does not provide exit absorption guarantees;
* It does not define final exit prices;
* It does not affect the price path of ART Curve in Phase II.<br>

Any remaining USDT (or equivalent asset) after Phase I may be settled and migrated into Phase II.

***

### 4. Phase II: UltiGallery Activation

UltiGallery enters Phase II once the following conditions are met:

* The underlying asset has been fully liquidated;
* Liquidation proceeds have entered the system and been settled;
* UltiGallery activation conditions are satisfied (see the voting mechanism below).<br>

***

### 5. Determination of the Real Pool

At the start of Phase II, the system determines two immutable real parameters:

#### 5.1 realUSDT

* The actual USDT (or equivalent asset) obtained from asset liquidation;
* Including any remaining balance migrated from Phase I, if applicable;
* Collectively referred to as:<br>

TotalAvailableUSDT

This represents the real liquidity available for absorbing token exits during Phase II.

#### 5.2 realARToken

* The quantity of ARToken remaining unsold at the start of Phase II;
* This value is fixed at activation and no additional tokens are issued.<br>

***

### 6. Virtual Pool

To prevent steep price declines caused by limited real liquidity, UltiGallery introduces virtual reserves:

* virtualUSDT
* virtualARToken

#### Properties of Virtual Reserves

* Do not represent real assets;
* Are non-withdrawable and non-transferable;
* Participate only in price calculation;
* Exist solely to shape a smooth and controllable price curve.<br>

Virtual reserves enable the system to simulate deep liquidity using limited real capital.

***

### 7. Construction of the Effective Pool

UltiGallery pricing is based on effective reserves:

effectiveUSDT    = realUSDT    + virtualUSDT

effectiveARToken = realARToken + virtualARToken

The constant product is therefore:

effectiveK = effectiveUSDT × effectiveARToken

This value defines the complete price path of UltiGallery.

***

### 8. Sell-Side Mechanics of UltiGallery

#### 8.1 Sell Execution Logic

During Phase II, all sell actions follow UltiGallery:

1. The user sells ΔARToken;
2. effectiveARToken increases by ΔARToken;
3. A new effectiveUSDT is calculated based on invariant K;
4. The user receives:<br>

ΔUSDT = effectiveUSDT\_before − effectiveUSDT\_after

***

#### 8.2 Characteristics of the Sell Curve

* Prices decrease continuously and smoothly as selling progresses;
* No cliff-like price drops occur;
* Early sellers receive higher marginal prices;
* Later sellers gradually approach the predefined terminal price.<br>

***

#### 8.3 Theoretical Maximum Absorption

Through mathematical derivation of UltiGallery, the following value can be determined in advance:

ART\_Curve\_Total\_Payout

This represents:

The total amount of USDT (or equivalent asset) theoretically required if all remaining ARToken are sold.

This value is deterministic and verifiable.

***

### 9. Morning Pool

#### 9.1 Formation of the Morning Pool

The Morning Pool is not pre-allocated.

It is derived as the residual value after guaranteeing full exit absorption:

MorningPool =

TotalAvailableUSDT − UltiGallery\_Total\_Payout

This ensures that:

* Exit absorption is always prioritized;
* Incentives never compromise system solvency.<br>

***

#### 9.2 Reward Coverage

* Each 950 ARToken constitutes one reward tier;
* A total of 100 tiers;
* Covering 95,000 ARToken;
* Representing 10% of total token supply.<br>

Only the earliest 10% of sold tokens are eligible for Morning Pool rewards.

***

#### 9.3 Relationship Between Rewards and Sell Proceeds

For early sellers, total returns consist of:

Total Return =

ART Curve Sell Proceeds

\+ Morning Pool Rewards

* Earlier exits receive higher prices and larger rewards;
* Later exits receive only sell proceeds;
* All exits occur along the same curve.<br>

***

### 10. Buy-Side Mechanics: Dual-Segment Curve Structure

#### 10.1 Buy Constraints

* Buy operations consume realARToken only;
* virtualARToken can never be purchased.<br>

***

#### 10.2 Threshold and State Transitions

At the moment UltiGallery is activated in Phase II:

* The system determines an opening price based on real-time conditions;
* This price serves as the boundary threshold between the buy-side and sell-side curve segments.<br>

Rules:

* If the current price ≥ Phase II opening price:\
  \- The market operates in the buy-side curve segment;
* If the current price < Phase II opening price:

&#x20;     \- Indicates that sell actions have occurred;

&#x20;     \- Buy operations occur within the sell-side curve segment.<br>

Buy and sell actions may interleave freely.

The invariant K remains unchanged.

***

### 11. UltiGallery Activation Conditions

UltiGallery activation is governed by a community voting mechanism.

* Each 1 ARToken represents 1 vote;
* Once votes reach 10% of total token supply:

&#x20;     \- An activation countdown is triggered;

&#x20;     \- ART Curve enters Phase II 24 hours later.<br>

This mechanism ensures that:

* Activation reflects the collective will of token holders;
* The system does not prematurely enter the exit phase.<br>

***

### 12. ARTX Trading Pair and Value Reinforcement

After asset liquidation, the system introduces ARTX as the primary trading pair asset for ARToken, reinforcing ARTX’s utility and value capture.

Key rules include:

* Asset liquidation proceeds are used to purchase ARTX at real-time market prices, which then serve as the trading pair for ARToken;<br>
* During Phase I:

&#x20;     \- The 5% USDT originally used for pool construction\
&#x20;     \- Is likewise converted into ARTX for pairing;<br>

* USDT is used in documentation solely as a value-denomination reference;\
  \- In actual operation, ARTX functions as the core value-bearing asset.\ <br>

Through this mechanism:

* ARTX becomes the value hub connecting asset liquidation and token trading;
* UltiGallery simultaneously enables exits while strengthening real use cases and value capture for ARTX.\ <br>

***

### 13. ART Curve Performance Analysis

This section describes the theoretical return ranges and risk boundaries of UltiGallery under representative scenarios.

All results are derived from mathematical modeling and curve simulation and are intended for mechanism understanding rather than profit guarantees.

#### 13.1 Baseline Scenario: Par-Value Liquidation, No Phase I Trading

Assumptions:

* The asset is liquidated at its evaluated price;
* During Phase I:

&#x20;     \- No significant ARToken buying or selling occurs;

&#x20;     \- The initial realUSDT and realARToken relationship for Phase II remains unchanged.\ <br>

Under these conditions, theoretical results for Phase II are:

* Maximum investor return: 1077.84%
* Break-even or better ratio: 63.3%
* Maximum loss (worst case): 7.85%\ <br>

In this scenario:

* Most participants can exit in the early-to-mid curve region;
* Price behavior remains smooth with clearly bounded tail risk;
* No structural insolvency or absorption failure occurs.<br>

***

#### 13.2 Impact of Phase I Trading Activity

If ARToken trading occurs during Phase I, it affects Phase II’s initial state by altering:

* The relationship between realUSDT and realARToken;
* Consequently affecting:

&#x20;     \- effectiveUSDT

&#x20;     \- effectiveARToken

&#x20;     \- The derived value of K.\ <br>

In relatively extreme but computable cases where Phase I includes:

* Selling approximately 50% of pool tokens, or
* Buying approximately 50% of pool tokens,\ <br>

UltiGallery remains structurally valid, with theoretical outcomes as follows:

* Maximum investor return range: 1405.99% – 1495.19%
* Break-even or better ratio: 63.3% (unchanged)
* Maximum loss range: 6.79% – 8.39%<br>

Key points:

* Phase I trading does not undermine UltiGallery’s absorption capability;
* Its effects are primarily limited to:\
  \
  \- Redistribution of returns;\
  \
  \- Minor tail-risk variation under extreme conditions.\ <br>

***

#### 13.3 Notes on Performance Data

All stated returns, break-even ratios, and loss figures are:

* Based on the UltiGallery mathematical model;
* Derived under specific parameters and assumptions;
* Obtained through curve simulation and calculation.<br>

Actual outcomes depend on, but are not limited to:

* Real asset liquidation prices;
* Market behavior in both phases;
* Participant timing and order sizes;
* On-chain execution and liquidity conditions.<br>

Accordingly:

All figures are for mechanism understanding and risk evaluation only.

Actual results are determined by on-chain execution.

***

### 14. Mechanism Summary

UltiGallery delivers:

* Smooth and predictable exit pricing;
* Fully covered sell-side absorption;
* Early incentives without compromising system safety;
* Clear separation between pricing and incentive mechanisms;
* Deterministic behavior verifiable through mathematics and simulation.<br>

It transforms asset liquidation from a single outcome into a tradable, game-theoretic, predictable, and consensus-driven exit process.

<br>


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