Pearl Bipin Pulickal

Engineer • Mathematician • Researcher
About Me

Logic Meets Aesthetics

I research the intersection of Abstract Mathematics (Category Theory) and Engineering to build interpretable "Whitebox" AI systems. Based in Goa, India.

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NIT Goa Convocation
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Conference Ready
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The Lab

Mathematics Simulations & Visualizations

1. Anomaly Detection in Elliptical Clusters

A deterministic geometric approach to identifying outliers in rotated manifolds using the Maximum Cluster Diameter Criteria.

$$ \text{Outlier if } D_L > D_X \lor D_R > D_X $$ $$ \text{Outlier if } D_B > D_Y \lor D_T > D_Y $$
Where Dx is the Major Axis and Dy is the Minor Axis.
Anomalies Detected 0
Sample Size (N) 0

2. Balanced Ternary NAND

Visualization of tri-state logic processing (-1, 0, 1) using the negation of the minimum input criteria.

$$ Y = - \min(A, B) $$

3. Imaginary Logic NAND

A quad-state simulation exploring the orthogonal dimension of i, representing AC characteristics and plasma states.

$$ Y = -1 \text{ if } (A,B) \in \{1, i\}^2 \setminus \{(i,i)\} $$ $$ Y = i \text{ if } A=i, B=i $$

4. Complex Identity for pi

A visualization of the logarithmic relationship between i and pi, deriving the constant from the geometry of the complex plane.

$$ \pi = \frac{2 \ln(i)}{i} $$

5. Complex Dynamics Observer

A rigorous demonstration of how branch cut discontinuities generate stable period-2 orbits.

$$ \theta^* = \pm \frac{\pi}{n+1} $$
Ready

Ternary NAND Logic Flow

Input states: 1 (High), 0 (Neutral), -1 (Low)

Imaginary NAND (i-Logic)

States: 1 (DC High), 0 (Neutral), -1 (DC Low), i (AC/Oscillating)

The Geometry of ln(i)

Tracing the arc from 1 to i to reveal the principal branch of the complex logarithm.

SYSTEM_STATUS: ITERATING
FUNCTION: Z[k+1] = (-Z[k])^(1/n)

Live Telemetry

3
0.0000 rad
±0.7854 rad
*Negation creates a $\pi$ phase shift.
*Branch cut prevents fixed-point convergence.
Artworks

Geometry & Fold

Direct Access

Strategic Consulting

Submit a complex problem, high-stakes decision, or strategic bottleneck you’re currently navigating. Whether you’re stuck on an academic research direction, a business logic puzzle, or a personal branding pivot, I will perform a deep-dive analysis of the system and reply with a rigorous, private breakdown of a potential path forward.

  • The Rule: Your problem description must be at least 100 words. Lazy inputs yield lazy outputs.
  • The Cost: Pay What You Want. A UPI/Razorpay link will be attached to my solution. If it helps you as a student, it's free. If it unlocks major enterprise value, tip accordingly.
Words: 0 / 100

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Available for high-level consulting in AI interpretability.

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