In the eyes of most people, meme coins are irrational hype — a greater-fool casino.
But from a mathematical perspective, every 10,000× legend was not born by accident. In fact, it resembles a middle-school geometry problem about spatial evolution.
This article proposes a disruptive perspective:
The market cap of a meme coin is not something that “rises” — it is something that gets “supported.”
The value of a meme coin can actually be calculated.
We are used to watching the Z-axis (price height) fluctuate, while ignoring the true determinant of survival:
the base radius, formed jointly by X (narrative density) and Y (distribution nodes).
A meme that has height but no base is merely a thin needle — it collapses with the slightest wind.
Only an ever-expanding radius of consensus can support a stable cone of wealth, allowing market value to grow geometrically under the gravity of capital.
Note: This article is a popular explanation of “financial physics,” not a rigorous econometric paper. It simply provides a new perspective for understanding meme coins.
1. The Beginning of the Theory: The 3-Dimensional Coordinate System of Meme Coins
In today’s crypto market, meme coins are often seen as irrational speculation.
But is that really true?
If we strip away emotional noise, influencer shilling, and community hype, we find that every viral meme coin follows a strict mathematical logic in both birth and death.
The essence of meme coins is the tokenization of the attention economy.
Their market cap is not determined by discounted cash flow (DCF) like traditional assets, but rather by:
narrative breadth
community resonance
explosive capital flows
To analyze this more clearly, we define these factors as the XYZ Three-Dimensional Growth Spiral Model.
These axes are not independent variables — they possess strong reflexivity.
Changes in one variable reinforce the others, forming a positive feedback loop.
Let’s define each axis.
X Axis: Narrative Density and Cultural Memetics
Definition:
The “genetic code” of the meme.
This includes:
the core joke or symbol (e.g., Doge)
the origin story (e.g., CZ’s pet name)
cultural symbols (e.g., Pepe the Frog)
community-generated derivative content
Key metrics
originality of the narrative
replicability
emotional resonance
Y Axis: Distribution Momentum and Network Nodes
Definition:
The channels through which information spreads.
This includes nodes ranging from:
top-tier nodes (CZ, Elon Musk)
mid-tier nodes (alpha callers, influencers)
end nodes (retail traders)
Key metrics
node influence weight
distribution coverage
frequency of mentions
Z Axis: Capital Flow and Liquidity Carriers
Definition:
The monetization of attention.
This includes:
on-chain capital inflows
liquidity depth
the amount of value capable of absorbing sell pressure
Key metrics
market cap
trading volume
turnover rate
liquidity (the most important metric)
2. The Growth Curve of the XYZ Axes
If we plot these three axes in 3D space, the trajectory of a successful meme coin usually appears as a spiraling upward path.
Start
X, Y, Z are all near zero.
Ignition
Y spikes (influencer promotion), driving Z upward (price).
The trajectory tilts toward the YZ plane.
Spin
Z growth attracts more Y (discussion).
Y stimulates new X (community-generated narratives).
The trajectory begins rotating around the XYZ axes.
Ascension
When X evolves into X′ (an upgraded narrative), the cone’s base area expands — consensus grows wider — allowing Z (market cap) to reach new heights.
Failed Meme (Rug Pull)
Often shows:
a spike in Y
a short Z price pump
but no narrative upgrade (X stagnates)
Result:
Z collapses quickly, producing an inverted-V trajectory.
3. The Evolution of the Growth Curve: Four Stages of the Meme Spiral
The meme lifecycle is not linear.
Instead, it is a vortex expanding around the Z-axis (capital flow).
We can divide it into four stages.
Stage 1: Ignition
X + Y → ΔZ
A strong narrative combined with a high-influence distribution node instantly ignites capital.
Example: Broccoli
Narrative (X)
On Feb 13, 2025, CZ revealed the name of his pet dog: Broccoli.
This wasn’t just a pet name. It carried symbolic meaning:
CZ’s comeback
revival of the BNB ecosystem
the color green symbolizing price growth
Distribution (Y)
CZ himself is a maximum-weight node.
One tweet from him carries more distribution power than a Super Bowl advertisement.
Result (Z)
Capital floods in instantly.
Hundreds of tokens named Broccoli appeared on Solana and BNB Chain, with the largest reaching $1.5B market cap within hours.
Early snipers made millions in minutes.
At this stage, Z growth is pulse-driven, entirely dependent on the Y-axis explosion.
Stage 2: Reflexivity Loop
Z ↑ → Y ↑
Price becomes the best marketing tool.
Once Z rises sharply, creating “100× meme legends,” the price itself feeds back into Y.
This produces:
Passive distribution
Influencers who previously ignored the meme begin discussing it to capture attention.
FOMO diffusion
“Top Gainers” lists become powerful distribution nodes.
Media stories such as “one wallet made $6M” further expand reach.
BNB Chain even artificially supported this stage with:
meme competitions
daily airdrops
buying 33 BNB worth of tokens per day
These actions inject energy into Z to maintain Y activity.
Stage 3: Narrative Upgrade
Y expansion → X′
As the network expands, the narrative must evolve.
“CZ’s dog” alone cannot sustain a long-term market cap.
With hundreds of thousands of holders, the community begins creating secondary narratives (X′).
Examples
From meme to culture
The community builds memes, symbols, even “Broccoli cults.”
Tool-based narrative
Projects like FLOKI evolved from memes into ecosystems including:
games
DeFi protocols
This represents X → X′ evolution.
Stage 4: Value Black Hole
X′ → Zmax
Once narrative upgrades occur, the meme can support larger capital flows.
At this stage:
Capital composition changes
Early “smart money” is replaced by:
diamond-hand communities
institutional allocation attempts
Infrastructure absorption
The meme begins feeding value back into the ecosystem.
Example:
massive trading volume burns BNB
generates fees
supplies liquidity for other protocols like PancakeSwap
4. The Cone Volume Formula Hypothesis
Observant readers might notice something.
The 3D growth model resembles a cone.
Cone volume formula:
V = 1/3 × Base Area × Height
We can map this formula to meme coin growth.
4.1 Variable Mapping
Cone radius
r = x × y
Represents the boundary of social consensus.
x = narrative quality
y = distribution nodes
A larger radius means more people know and believe the story.
Height
h = z
Represents capital intensity and emotional leverage.
Volume
V = Market Cap
Why r = x × y Is Quadratic
Narratives and distribution create network effects.
If narrative quality is poor, more nodes cannot expand consensus.
But when a powerful narrative meets strong distribution, consensus expands exponentially.
A small increase in base radius can support quadratic growth in market cap.
Why Capital (z) Is Linear
Capital determines how high price can rise.
But without base support (x and y), capital alone creates an unstable structure.
A whale pump without community consensus forms a needle-like cone that collapses easily.
Blue-chip memes like DOGE and PEPE have massive base diameters, allowing price volatility without collapse.
The Meaning of the 1/3 Coefficient
Scientists discovered that the volume of a cone is only 1/3 of a cylinder with the same base and height.
In meme markets, this represents attention friction.
Not everyone who hears the narrative buys.
Not every dollar entering becomes long-term market cap.
In reality the coefficient may be closer to 1/300.
This reminds us that meme market caps never fully convert all attention into value.
5. Healthy vs Deformed Growth Structures
This model helps classify failure patterns.
The “Telephone Pole” Model
High Z, extremely low r.
Only whales trading against themselves.
No community or narrative.
Collapse occurs immediately once capital leaves.
The “Pancake” Model
Large r, tiny Z.
Great community and narrative, but no money.
Large attention but little capital.
A “popular but poor” meme.
Model Limitations
Three major distortions exist in reality.
Reflexivity
Price increases reinforce narrative and distribution.
The famous “price convinces people” effect.
Dynamic coefficient
In euphoric bull markets, the coefficient approaches 1.
In bear markets, it may fall to 1/1000.
Missing time dimension
The cone is static, but memes decay.
Narratives shrink as audiences become fatigued.
6. Broccoli Case Study
Broccoli variables:
Narrative (X)
“CZ’s confirmed pet name.”
Distribution (Y)
CZ’s millions of followers
BNB Chain accounts
meme platforms
crypto traders
Capital (Z)
Liquidity on BNB Chain and cross-chain inflows.
Four Stage Reconstruction
Start
Before CZ’s announcement, speculation filled the market.
Many incorrect meme tokens appeared.
Ignition
CZ posts the tweet.
Distribution explodes.
Capital floods in.
Thousands of tokens launch instantly.
Spin
For 2–12 hours the market becomes a battlefield.
Thousands of Broccoli tokens compete.
Communities attempt to upgrade narratives.
Most fail.
Ascension
Only one or two dominant tokens survive.
Their narrative evolves into:
“BNB Chain mascot.”
A stable consensus base forms.
Warning: The Fate of Most Broccolis
99.99% collapsed.
They pumped Z through fake hype but ignored X and Y.
Their cone structure was a needle.
Once capital peaked, the base radius approached zero and price collapsed vertically.
The Broccoli event proved:
The ultimate battle of meme coins is not who launches first, but who expands the largest consensus radius.
7. PNUT Case Study
X Axis
Narrative of justice and revenge.
A squirrel becomes:
a victim of authority
a hero
eventually a political symbol.
Y Axis
Massive distribution nodes:
Elon Musk
Joe Rogan
political commentators
Z Axis
Fast liquidity on Solana and rapid listings on major exchanges.
Four Stage Evolution
Stage 1 – Ignition
The tragic story injects powerful narrative genes.
Stage 2 – Spin
Elon Musk’s tweets trigger massive distribution expansion.
Stage 3 – Narrative Upgrade
The meme evolves into a political symbol.
Stage 4 – Value Black Hole
Listings on Binance attract maximum capital.
The meme begins absorbing liquidity across the Solana ecosystem.
Final Thoughts
After all this theory, you might ask:
As a normal user, how can I identify meme opportunities on chains like BNB, Solana, Base, or XLayer?
How can you capture the next big opportunity?
How can you achieve huge returns?
To find out what happens next…
Stay tuned for the next chapter.
Source: https://x.com/agintender