Author: danny; Source: X, @agintender
In most people's eyes, Meme coin is an irrational frenzy, a gambling game of the greater fool theory. But from a mathematical perspective, the birth of every 10,000x myth is not accidental; it's actually a middle school spatial geometry application problem.
This article proposes a disruptive perspective: Meme coin's market capitalization is not "rising," but rather "inflated." Meme's value can be calculated!
We are used to focusing on the fluctuations of the Z-axis (price height), but we ignore the fact that what determines life and death is the radius of the base constructed by X (narrative density) and Y (propagation nodes).
A meme with only height and no base is merely a thin needle, easily blown over by the wind; only an ever-expanding radius of consensus can, under the gravity of capital, support a stable, geometrically growing cone of wealth. Note: This article is a popular science piece on "financial physics," not a rigorous econometrics paper, simply offering a fresh perspective on memes. 1. The Beginning of the Theory: The Three-Dimensional Coordinate System of Memes In the current cryptocurrency market, meme coins are often seen as an irrational frenzy. But is that really the case? If we strip away emotional noise, KOL hype, and community hype, we find that the birth and demise of every phenomenal meme follows a rigorous mathematical logic. The essence of meme coins is the tokenization of the attention economy. Their market capitalization is not determined by traditional discounted cash flow (DCF), but rather by the breadth of the narrative, the resonance of the community, and the explosive power of funding. For better discussion, we define these factors as the XYZ three-dimensional growth spiral model. These three axes are not merely independent variables; they exhibit strong reflexivity—a change in one variable reinforces another, forming a positive feedback loop. Let's explain these parameters: X-axis: Narrative density and cultural memes. Definition: The "genes" of a meme. This includes core memes (such as Doge), origin stories (such as CZ's pet name), cultural symbols (such as Pepe's Sad Frog), and the richness of community-created content. Key metrics: Narrative originality, replicability, and emotional resonance. Y-axis: Dissemination potential and node network. Definition: The information transmission channel. From top-level nodes (CZ, Elon Musk) to secondary nodes (Alpha Callers, KOLs), and then to end-level nodes (ordinary retail investors). Key metrics: Node weight, dissemination coverage, and frequency of recommendations. Z-axis: Fund flow and liquidity carrier. Definition: The monetization of attention. Including on-chain fund inflows and liquidity depth—that is, the value held or the total amount of sell orders that can be absorbed. Key metrics: market capitalization, trading volume, turnover rate, and liquidity (the most important metric). 2. A diagram illustrating the growth curve of the interaction between the XYZ axes. If we plot these three axes in three-dimensional space, a successful meme growth trajectory generally follows a spiral upward trend: (as shown in the diagram below). Start: X, Y, and Z are all close to zero. Ignition: A sudden increase in the Y-axis (KOL recommendations) drives a jump in the Z-axis (price). The trajectory line tilts towards the Y-Z plane. Spin: The growth of the Z-axis attracts more Y (more discussion), and Y inspires secondary creation in X (richer content). The trajectory line begins to rotate around the X-Y-Z axes. Ascension: As X is upgraded (X'), the base area of the cone expands (the consensus range widens), and the Z-axis (market capitalization) reaches a new height.
Failed Meme (Rug Pull): Typically manifested as a surge on the Y-axis followed by a brief rise on the Z-axis, but the X-axis fails to follow suit (lack of narrative), causing the Z-axis to quickly collapse to zero, resulting in a V-shaped drop in the trajectory.
From the previous section, we know that the life cycle of a meme is not linear, but rather a vortex that continuously expands around the Z-axis (fund flow). In this section, we will analyze it based on the four development stages of a meme.
The following diagram shows its standard evolutionary path: (Note: For ease of reading and understanding, I will not write it in paragraphs.) **Phase 1: Ignition (The Ignition) — X + Y → ΔZ** A powerful narrative (X) combined with a high-weight propagation node (Y), instantly triggering a surge in funds (Z).
Taking Broccoli as an example:
X (narrative): On February 13, 2025, CZ announced that his pet dog's name was "Broccoli". This is not just a simple pet name; it carries a deeper metaphor of "CZ's comeback" and "BNB's ecosystem return." Furthermore, "Broccoli" itself possesses a unique sound signature and visual image (green = rising). Y (Node): CZ himself, as a top-tier traffic node in the industry (Y-Max), had a tweet with a propagation potential exceeding even a Super Bowl ad. Z (Result): Instantaneous capital response. Hundreds of tokens with the same name quickly emerged on Solana and BNB Chain, with the top token's market capitalization exceeding $1.5 billion within hours, and early investors profiting millions within 20 minutes. The growth on the Z-axis in this stage is pulse-like, entirely dependent on a single-point burst on the Y-axis. Second Stage: Establishment of Reflexivity (The Reflexivity Loop) — Z↑→ Y↑
Price (Z) itself becomes the best advertising and dissemination channel (Y).
When the Z-axis (market capitalization) rises rapidly, creating a "hundred-fold golden dog" wealth effect, it will have a reverse effect on the Y-axis.
Passive dissemination: KOLs who originally did not pay attention to this meme start to actively mention it in order to ride the wave (traffic capture).
FOMO diffusion: The top gainers list itself is the strongest dissemination node. Media reports (such as "a certain address profited $6 million") further expand the dissemination radius.
BNB Chain's strategy: BNB Chain officially promotes the meme through the "Meme Innovation Competition" and the "Daily Airdrop" program (daily purchases) The 33 BNB "golden dog" airdropped to the community artificially injected energy into the Z-axis to maintain the activity of the Y-axis. The expanded propagation network (Y) forces the narrative (X) to undergo a second iteration (X'). Simply relying on the "CZ dog" meme (X) cannot support long-term market capitalization. When the Y-axis expands to hundreds of thousands of holding addresses, the community begins to spontaneously create new narratives (X'). From "meme" to "culture": the community begins to create memes, establish a "broccoli cult," and imbue the token with a certain spiritual sustenance (such as "resisting VC coins," "BNB Chain"). "A symbol of revival"). Instrumentalized narrative: such as FLOKI evolving from a simple meme into an ecosystem with Valhalla games and DeFi protocols. This is also an X → X' upgrade. The fourth stage: The Value Black Hole – X' → Z_max. The upgraded narrative (X') can support a larger scale of funds (Z). When the X-axis completes the upgrade from "monster" to "totem," the upper limit of the Z-axis is opened. left;">Change in the nature of funds: From early "quick in, quick out" smart money to "diamond hand" community funds and institutional funds attempting allocation.
Infrastructure leeching: At this point, Meme is no longer just a customer acquisition tool; it begins to feed back into the on-chain infrastructure. The huge transaction volume brings BNB Chain a large amount of BNB burning and fee revenue, while also providing liquidity entry points for other applications within the ecosystem (such as Aster derivatives trading and Pancake trading volume).
Attentive readers may notice that the 3D diagram above resembles a cone. Is it possible that we can find the volume formula for this cone?
V = ⅓ * base area * height This formula is applied to the growth model of Meme coin
We map the various geometric elements of the cone to the variables x, y, z you proposed:
Base radius r = x * y : Boundary of social consensus
x (content/narrative): This is Meme The "genes" of consensus. Good content determines the contagiousness of consensus. y (propagation nodes): These are the community, KOLs, and token holders. Nodes determine the coverage of the narrative. r (radius): Represents the physical boundary of consensus. The larger the radius, the more people know and are willing to believe the story, and the more stable the foundation. height h = z (funding/emotional leverage): The speed and density of fund inflows determine the vertical height of price increases. Volume V = Market Cap: The final market capitalization. 4.1.1 Why is the radius x * y a square relationship? In Meme In the world of Meme, the combination of narrative and nodes has a network effect. If content x is merely a mediocre imitation, even with numerous nodes y, the radius r is difficult to expand. When a highly penetrating narrative (x) encounters frequently interacting propagation nodes (y), the consensus area expands exponentially. The squared term in the formula means that a slight expansion of the underlying community consensus will result in a squared increase in its supported volume (market capitalization) potential. 4.1.2 Why is the capital z linear in height? Capital z determines how high the price can go. However, in the Meme model, a capital height without a base area (x and y) is unstable. If there is only z (whale entry to pump the price) but no r (broad retail investor consensus), the cone will become an extremely thin "needle," collapsing at the slightest disturbance. True blue-chip memes (such as DOGE and PEPE) have a huge base diameter, which makes their overall volume still enormous even with high capital fluctuations. Scientists have discovered that the volume of a cone is only one-third that of a cylinder with the same base and height. In the meme market, this represents the frictional loss of attention, but ⅓ is an assumed value; in reality, it may be 1/300. Not everyone who hears the narrative will buy in. Not every investment will translate into long-term holding value. This coefficient reminds us that Meme's market capitalization can never fully cover the attention it receives; there is significant bubble evaporation and attention shifting. 4.2 Trajectory Analysis: From "Point" to "Cone" The upward trajectory of Meme coin typically follows a cone-shaped formation process: The narrative x is just born, nodes y are few, and funds z are just beginning to be injected. At this point, the volume is negligible. **Rooting Downwards:** As more nodes y join, the narrative x begins to fission. The most important aspect at this stage is not price (height), but increasing the number of holding addresses and community activity (expanding the radius r). **Vertical Eruption:** When the consensus base is large enough, the inflow of funds z creates a remarkable leverage effect. Since the base radius is already fixed, increasing the same amount of z will rapidly expand the volume V. **A Successful Meme Coin** The trajectory, in essence, is to first expand the base and then increase the height. 5. Boundaries and Limitations of the Cone Volume Formula 5.1 Defining the Growth States of "Healthy" and "Deformed" This model sets r (narrative × nodes) as a square term and z (funds) as a linear term. It has two main and significant effects: It captures network effects: In the meme field, a 10x increase in narrative spread (r) can often support 100 The market capitalization (V) increases by a factor of two. This explains why some coins, even if their capital (h) hasn't reached its breakout point, can experience exponential valuation jumps as long as their community foundation (r) is strong enough. This explains the physical structure of a "crash": If a project's radius r (consensus) is shrinking, even if you invest a lot of capital z to pump the price, the cone's volume will rapidly shrink due to the collapse of the bottom. Furthermore, through this geometric model, we can easily distinguish two typical failure models: "Telephone Pole" Model (High z, Extremely Low r): Only large investors engage in wash trading or Ponzi schemes to drive up the price, lacking community discussion and narrative resonance. This cone is extremely unstable; once the capital z... Withdrawal instantly reduces volume to zero. The "Big Pie" Model (Large r, Extremely Low z): The community is very lively, and the narrative is good, but there's no capital inflow. This cone-shaped structure has only area and no volume, representing a poor community that's "praised but not popular." 5.2 Limitations In real-world secondary market applications, the following "physical distortions" need attention: Coupling Relationships Between Variables: In the formula, r and h are independent variables, but in the Meme market, an increase in z (capital) will, in turn, strengthen x (narrative) and y (propagation nodes). This is the famous "price-driven" effect. The higher the price, the more the narrative resembles the truth, and the faster the nodes spread. Dynamics of the coefficient: In an extremely bullish market, this coefficient may approach 1 (becoming a cylinder) because emotions smooth out all losses; while in a bear market, this coefficient may become 1/1000, meaning that most attention cannot be converted into purchasing power. Missing time dimension: A cone is a static geometry, but a meme has a time limit. Introducing a "decay rate" would make the model more perfect, because the narrative of a meme will naturally shrink with aesthetic fatigue. 6. Case Study of Broccoli 6.1. Elements of Broccoli (Content/Narrative): "CZ personally endorses" – this is top-tier narrative and influence. (Dissemination Nodes): CZ's millions of followers, the official BNB Chain account, the Four.Meme platform, and the "scientists" and PVP players lurking across the internet. (Funds/Market Value): Existing funds on the BNB chain, and "hot money" from other chains. 6.2. Four-Stage Trajectory Reconstruction **Stage 1: Bottom (Start) – Fog Period** Before CZ's announcement on February 13, 2025, x, y, and z were almost zero, but the market was filled with "static electricity." The entire internet began speculating about the name, resulting in numerous tiny cones of incorrect direction, such as BNBDog and CZDoge. **Stage 2: Ignition – Narrative Explosion** CZ posted a tweet officially announcing the dog's name as Broccoli with a picture. The y-axis (node) instantly exploded. Twitter and Telegram channels spread almost simultaneously within seconds. Since x (narrative) was directly given by CZ, its authenticity is confirmed. Funds z A frenzy ensued, with hundreds or even thousands of tokens bearing the same name instantly generated on platforms like Four.Meme. The trajectory line at this moment exhibits a near-vertical y-z plane tilt. **Phase Three: Spin – Jungle Combat (PVP)** Within 2-12 hours of the name reveal, tens of thousands of Broccoli appeared on the market. To compete for the "real" identity, various communities began a frenzy of secondary creation (competition for x). At this point, the model is in a rotating state. Some tokens increase z through spontaneous community purchases, while others enrich x with more interesting Meme graphs. Only those Broccoli that can continuously stimulate y (more node discussion) and enrich x (narrative upgrades, such as doing charity or making games) can maintain rotation; the rest, due to a lack of x, lose their rotational force and directly enter the collapse process. Phase Four: Ascension – Consensus Consolidation Ultimately, only 1-2 "chosen ones" emerge, gaining the attention of the BNB Foundation or recognition from mainstream exchanges. At this point, the base area r = x * y has solidified due to long-term community building. The narrative has evolved from "CZ's dog" to "BNB Chain's mascot." Even with occasional fluctuations in funds z, the market capitalization cone remains standing due to the extremely stable foundation. 6.3 Warning: The Ascended Broccolis In the chaotic battle of 2025, 99.99% of Broccolis fell into an "inverted V-shaped" crash. During their initial launch phase, they artificially inflated the z-axis using deception or internal manipulation. Devs were purely focused on profiting, with no intention of cultivating x (content) or y (real community nodes). Therefore, this cone is an extremely thin "needle" that, after reaching its peak on the z-axis, instantly loses balance due to the base radius r approaching zero, causing its trajectory to plummet vertically, leaving a mess behind. CZ's Broccoli case proves that the ultimate battle for Meme coins is not about who issues their coin first (z), but about who can use the power of the community (y) to pave the "CZ's pet" point (x) into the largest possible circle (r). Broccoli should be the largest "same-base-area cone speed race" on Meme in 2025. Under the same x narrative, tens of thousands of projects are competing for y and... z ultimately proved that only "narrative upgrade + node stickiness" could achieve a breakthrough in market value.
Three-Dimensional Coordinate Decomposition of Pnut
X-axis (Narrative Density - Emotion and Justice): This is not just a squirrel meme; it carries the narratives of "resisting the excessive expansion of public power" and "avenging innocent lives." From "a cute squirrel → a hero killed by the system → a political totem of the MAGA movement." Its narrative density has achieved a rare cross-border and cross-class resonance in the history of memes.
Y-axis (Spreading Nodes - Dimensional Reduction Attack): Top Node Y_max: Elon Musk tweeted continuously, followed by Joe Top influencers like Rogan followed suit. These nodes are not simply "market-calling KOLs," but giant nodes with the ability to set social agendas.
Z-axis (funding carrier - emotional leverage): The extremely fast liquidity on the Solana chain, coupled with the lightning-fast listing of top CEXs like Binance, caused funds z to flow in rapidly.
Stage 1. Ignition Phase: The Gene Injection of Tragic Narrative
x (justice/revenge) is formed instantly, y (local community) begins to spread.
The trajectory bounces vertically from the origin. The New York Environmental Protection Agency's actions injected a highly penetrating x gene into Pnut. At this time, z (funds) is still sluggish on the chain, but the energy at the bottom has begun to accumulate.
Phase 2. The hovering period: the "gravitational pull" of top nodes
The Y-axis undergoes a magnitude jump due to Elon Musk's intervention (Y → Y_max).
The surge in price z attracted the attention of the entire network. Due to the strong reflexivity of Elon's tweets, every time the price doubles, it attracts more traditional media and political KOLs (new nodes) to join the discussion. The trajectory line begins to rotate violently in three-dimensional space, with a radius r Rapid expansion.
Stage 3. Dimensional Ascension: From "Squirrel" to "Political Totem"
The X-axis completes its dimensional ascension (upgrading from "animal protection" to "US election/resistance to the system").
This is Pnut's most solid step. Because of the upgrade of the narrative x, the base area of the cone, r = x*y, is no longer limited to the crypto circle. At this stage, Pnut is no longer a mongrel, but a cultural asset. Even if the funds z experiences a phased correction, the huge consensus base can withstand the selling pressure.
Stage 4. Value Black Hole: The Collapse and Reconstruction of Blue-Chip Consensus
Listed on top exchanges such as Binance, funds Z reached its peak. A massive V (market capitalization) has formed. It began to absorb liquidity within the Solana ecosystem like a black hole. At this point, Pnut's cone had completely hardened, becoming the object of imitation for all subsequent animal-related memes. In conclusion, after reading so much theoretical analysis, you might ask me, as an ordinary user, how should I identify, participate in, and embrace meme opportunities on BNB Chain, Solana, Base, and Xlayer? How can I seize big opportunities and achieve great results? To find out what happens next, stay tuned for the next installment.
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