April 11, 2025, was a spectacular day of exploration and excitement, as LUMS Math Circles and LUMS Math Circles for Epsilons hosted two incredible sessions that stretched minds, sparked curiosity, and celebrated the beauty of mathematics.
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Designing A Better Elevator
Designing A Better Elevator
Led by Dr. Maryam Mustafa (Computer Science Department) and Dr. Imran Anwar (Mathematics Department)
Our journey began with a deep dive into puzzles, algorithms, and mathematical modeling.
We kicked off with the Up and Down Elevator Problem — a clever puzzle that ignited strategic thinking as participants worked to design optimal elevator control panels, minimizing wait times and planning efficient stops using real-world optimization techniques.
Next, we tackled the legendary Traveling Salesman Problem, navigating cities to find the shortest route while uncovering the intricacies of computational complexity and the art of efficient algorithms.
The adventure continued with the Slippery Ascent Challenge and the Coin Problem, delving into number theory, Frobenius Numbers, and the elegant structures hidden within mathematics.
A heartfelt thank you to Dr. Maryam and Dr. Imran for leading such a thought-provoking session, and to all our participants for their enthusiasm, insights, and collaborative spirit!
Here are some highlights from the event:
To Infinity And Beyond
To Infinity And Beyond
LUMS Math Circles for Epsilons: To Infinity and Beyond Led by Mr. Hashir Hassan Khan and Ms. Aqsa Noreen
Our younger mathematicians embarked on a thrilling journey into the world of infinity in our session titled “To Infinity and Beyond.”
We explored Hilbert’s Hotel and Zeno’s Paradox, two profound ideas that challenge our intuition about the infinite.
Without a single algebraic equation, students marveled at infinite sums, proving their convergence through stunning "geometry without words." It was a beautiful reminder that abstract concepts can be visualized, reasoned about, and understood in creative and accessible ways.
Here are some highlights from the event:
Both sessions were a vivid reminder that math is not just about numbers — it’s about wonder, imagination, and making sense of the world around us.
We are also deeply grateful to Ms. Noreen Sohail and Mr. Qamar Hussain for their invaluable organizational support.
For more pictures visit our Facebook page.
Instructors:
Instructors:
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