Notre Dame Math Club

Notre Dame Math Club Explore the beauty of mathematics, solve challenging problems, and connect with like-minded peers.

𝐆𝐞𝐧𝐞𝐫𝐚𝐥 𝐌𝐞𝐞𝐭𝐢𝐧𝐠, 𝐍𝐨𝐭𝐫𝐞 𝐃𝐚𝐦𝐞 𝐌𝐚𝐭𝐡 𝐂𝐥𝐮𝐛A club is much like a constellation where each member shines with their own light, ...
23/06/2026

𝐆𝐞𝐧𝐞𝐫𝐚𝐥 𝐌𝐞𝐞𝐭𝐢𝐧𝐠, 𝐍𝐨𝐭𝐫𝐞 𝐃𝐚𝐦𝐞 𝐌𝐚𝐭𝐡 𝐂𝐥𝐮𝐛
A club is much like a constellation where each member shines with their own light, but together they create something far greater. This General Meeting is an opportunity for us to gather, exchange ideas, strengthen our bonds, and look ahead to the exciting journey that awaits us.

𝐕𝐞𝐧𝐮𝐞: Ganguly Bhaban, Room 431
𝐃𝐚𝐭𝐞: 24 June, Wednesday
𝐓𝐢𝐦𝐞: 12:00 pm

"𝑨 𝒄𝒐𝒎𝒑𝒖𝒕𝒆𝒓 𝒘𝒐𝒖𝒍𝒅 𝒅𝒆𝒔𝒆𝒓𝒗𝒆 𝒕𝒐 𝒃𝒆 𝒄𝒂𝒍𝒍𝒆𝒅 𝒊𝒏𝒕𝒆𝒍𝒍𝒊𝒈𝒆𝒏𝒕 𝒊𝒇 𝒊𝒕 𝒄𝒐𝒖𝒍𝒅 𝒅𝒆𝒄𝒆𝒊𝒗𝒆 𝒂 𝒉𝒖𝒎𝒂𝒏 𝒊𝒏𝒕𝒐 𝒃𝒆𝒍𝒊𝒆𝒗𝒊𝒏𝒈 𝒕𝒉𝒂𝒕 𝒊𝒕 𝒘𝒂𝒔 𝒉𝒖𝒎𝒂𝒏."— 𝑨𝒍𝒂𝒏 ...
23/06/2026

"𝑨 𝒄𝒐𝒎𝒑𝒖𝒕𝒆𝒓 𝒘𝒐𝒖𝒍𝒅 𝒅𝒆𝒔𝒆𝒓𝒗𝒆 𝒕𝒐 𝒃𝒆 𝒄𝒂𝒍𝒍𝒆𝒅 𝒊𝒏𝒕𝒆𝒍𝒍𝒊𝒈𝒆𝒏𝒕 𝒊𝒇 𝒊𝒕 𝒄𝒐𝒖𝒍𝒅 𝒅𝒆𝒄𝒆𝒊𝒗𝒆 𝒂 𝒉𝒖𝒎𝒂𝒏 𝒊𝒏𝒕𝒐 𝒃𝒆𝒍𝒊𝒆𝒗𝒊𝒏𝒈 𝒕𝒉𝒂𝒕 𝒊𝒕 𝒘𝒂𝒔 𝒉𝒖𝒎𝒂𝒏."
— 𝑨𝒍𝒂𝒏 𝑻𝒖𝒓𝒊𝒏𝒈
Few rivaled the intensity of Alan Turing’s obsession with reaching the absolute limit of mathematical certainty, yet he would eventually dismiss the very notion of perfection as an obsolete ideal. He realized that a perfectly rational system is functionally dead; it is a machine trapped in its own rigid definitions, unable to navigate the chaotic, uncomputable topography of actual human experience.

This friction between cold logic and consciousness is best seen in his proof of the Halting Problem, which demonstrated that no algorithm can ever predict whether every process will finish or run into an infinite, unsolvable loop. Turing understood that to avoid these logical dead-ends, a machine must possess the liberty to act beyond the truth. To successfully deceive a judge in his Imitation Game, a machine cannot rely on instantaneous arithmetic; it must master the art of the lie. It must deliberately inject cognitive friction—simulating hesitations, misinterpreting nuance, and outputting calculated errors—to disguise the mathematical void where it cannot reach.

Today, 𝑵𝒐𝒕𝒓𝒆 𝑫𝒂𝒎𝒆 𝑴𝒂𝒕𝒉 𝑪𝒍𝒖𝒃 honors the visionary, uncontainable mind of Alan Turing. He gave us the mathematical prophecy of neural networks and the realization that hard-coded logic is a cognitive dead-end. He proved that the powerful systems don't start out intelligent but adapt until they are, and he reminded us that the ultimate hallmark of a thinking entity isn't flawless calculation, but the profoundly human capacity to err.

𝐈𝐧𝐟𝐚𝐧𝐭𝐢𝐧𝐨'𝐬 𝐆𝐞𝐨𝐦𝐞𝐭𝐫𝐢𝐜 𝐆𝐚𝐬𝐥𝐢𝐠𝐡𝐭.Some football fans see a tactical masterclass. Others see a perfectly orchestrated geomet...
22/06/2026

𝐈𝐧𝐟𝐚𝐧𝐭𝐢𝐧𝐨'𝐬 𝐆𝐞𝐨𝐦𝐞𝐭𝐫𝐢𝐜 𝐆𝐚𝐬𝐥𝐢𝐠𝐡𝐭.

Some football fans see a tactical masterclass. Others see a perfectly orchestrated geometric conspiracy.

As 𝐀𝐫𝐠𝐞𝐧𝐭𝐢𝐧𝐚 prepares to face 𝐀𝐮𝐬𝐭𝐫𝐢𝐚, today's challenge ventures into the world of circles, tangents, and hidden intersections. Can mathematics uncover the true offside threshold, or has the VAR machine become too sophisticated to decode?

Solve the problem, submit your answer to our page inbox, and continue your journey on the 𝐑𝐨𝐚𝐝 𝐭𝐨 𝐭𝐡𝐞 𝐅𝐢𝐧𝐚𝐥 𝐏𝐫𝐨𝐨𝐟.

The Bangla version of the question is available in the comments.


𝐌𝐚𝐩𝐩𝐢𝐧𝐠 𝐓𝐡𝐞 𝐅𝐢𝐧𝐚𝐥 𝐊𝐢𝐜𝐤!What began as a decisive attacking move for 𝐆𝐞𝐫𝐦𝐚𝐧𝐲 met its limit not in effort, but in structure...
21/06/2026

𝐌𝐚𝐩𝐩𝐢𝐧𝐠 𝐓𝐡𝐞 𝐅𝐢𝐧𝐚𝐥 𝐊𝐢𝐜𝐤!

What began as a decisive attacking move for 𝐆𝐞𝐫𝐦𝐚𝐧𝐲 met its limit not in effort, but in structure. Against 𝐈𝐯𝐨𝐫𝐲 𝐂𝐨𝐚𝐬𝐭, every possible trajectory was tested against a hidden defensive geometry, and only a few directions truly survived the constraints of the field.

𝐊𝐚𝐢 𝐇𝐚𝐯𝐞𝐫𝐭𝐳 stepped into the final moment with the ball at his feet, but mathematics revealed what instinct alone could not: most paths forward collapse into the defensive boundary long before the goal ever becomes reachable.

After mapping angles, constraints, and intersections, the outcome becomes clear, only specific shooting directions remain viable, while the rest are intercepted by the structure that governs the game itself.

This wasn’t just an attack. It was a test of geometry under pressure.

And in this case, the defense holds its ground.


⚽ 𝟕–𝟏. Again?𝐆𝐞𝐫𝐦𝐚𝐧𝐲 has developed a reputation for turning scorelines into statements, most famously the 𝟕–𝟏. After ech...
20/06/2026

⚽ 𝟕–𝟏. Again?

𝐆𝐞𝐫𝐦𝐚𝐧𝐲 has developed a reputation for turning scorelines into statements, most famously the 𝟕–𝟏. After echoing that dominance in their opening match against Curaçao, they now prepare to face 𝐈𝐯𝐨𝐫𝐲 𝐂𝐨𝐚𝐬𝐭. One question lingers in the air: can the German machine keep rolling?

Germany stands just one goal away from rewriting the narrative once again. 𝐊𝐚𝐢 𝐇𝐚𝐯𝐞𝐫𝐭𝐳 has the ball. One final move begins.

But between him and history stands an entire defensive structure, waiting to respond.

Can mathematics predict the outcome of this final attack?

Solve the problem, submit your answer to our page inbox, and continue your journey on the 𝐑𝐨𝐚𝐝 𝐭𝐨 𝐭𝐡𝐞 𝐅𝐢𝐧𝐚𝐥 𝐏𝐫𝐨𝐨𝐟.

𝐓𝐡𝐞 𝐁𝐚𝐧𝐠𝐥𝐚 𝐯𝐞𝐫𝐬𝐢𝐨𝐧 𝐨𝐟 𝐭𝐡𝐞 𝐪𝐮𝐞𝐬𝐭𝐢𝐨𝐧 𝐢𝐬 𝐚𝐯𝐚𝐢𝐥𝐚𝐛𝐥𝐞 𝐢𝐧 𝐭𝐡𝐞 𝐜𝐨𝐦𝐦𝐞𝐧𝐭𝐬.


"ডুবো সাহিত্যে, দেখো গণিতে, অন্তর হোক সিক্ত!"অসীমের অতলান্তিকতায় যখন মানবমন থমকে দাঁড়ায়, যুক্তি ও আবেগ নিয়ে গভীরতরের ...
20/06/2026

"ডুবো সাহিত্যে, দেখো গণিতে, অন্তর হোক সিক্ত!"

অসীমের অতলান্তিকতায় যখন মানবমন থমকে দাঁড়ায়, যুক্তি ও আবেগ নিয়ে গভীরতরের অন্বেষে, তখনই হয়তো জন্ম নেয় 'কলনবিদ্যা'। অবকলন আর সমাকলনের এই দোলাচলেই পূর্ণতা পায় আমাদের অস্তিত্বের সমীকরণ। জীবনের প্রতিটি ক্ষণিক বিন্দুর ক্ষুদ্রাতিক্ষুদ্র অংশ বা অন্তরকগুলোর সামগ্রিক সমষ্টিই রচনা করে সমাকলিত জীবন - আখ্যান। গণিত যেখানে নৈর্ব্যক্তিক যুক্তির চূড়ান্ত শিখর, সাহিত্য সেখানে আত্মনিষ্ঠ অনুভূতির অতল সমুদ্র। এই দুই বৈপরীত্যের মোহনায় যখন কাব্যের স্ফুরণ ঘটে, তখন শুষ্ক হিসাবের শৃঙ্খল ভেঙে হৃদয়ের অন্তরালে উন্মেষ হয় এক অলৌকিক নন্দনতত্ত্বের।

তানভীর মুনায়েম মৌন-র এই অনন্য সৃষ্টিতে গণিতের সেই শুষ্ক সমীকরণগুলো যেন এক একটি জীবন্ত উপাখ্যান হয়ে ধরা দিয়েছে।

19/06/2026

সংখ্যার নদের পশ্চিম দিগন্তরেখায় দিবাকরের অস্তরাগ আভা ম্রিয়মাণ। তার সেই চিরন্তন স্রোতের মতোই সংখ্যার অন্তহীন ধারায় আচ্ছন্ন ছিল ৬ষ্ঠ এনডিসি ন্যাশনাল ম্যাথ ফেস্টিভ্যালের অঙ্গন। নীল নদের উপর দীপ্তিমান লক্ষ তারকারাজের মৃদু দীপ্তির ন্যায় হাজারো খুদে গণিতবিদের চিন্তা, দর্শন ও কৌতূহল মিশ্রিত কোলাহল মহিমান্বিত করে তোলে নটর ডেম কলেজের অম্লান প্রাঙ্গণ।

চ্যানেল আই-এর এই বিশেষ প্রামাণ্যচিত্রে সমুজ্জ্বল হয়ে উঠেছে সেই জ্ঞানালোকিত মহামুহূর্তগুলোর স্মৃতি।

© All rights and credits belong to Impress Telefilm Ltd and Channel i.

"𝑻𝒉𝒆 𝒉𝒆𝒂𝒓𝒕 𝒉𝒂𝒔 𝒊𝒕𝒔 𝒓𝒆𝒂𝒔𝒐𝒏𝒔 𝒘𝒉𝒊𝒄𝒉 𝒓𝒆𝒂𝒔𝒐𝒏 𝒌𝒏𝒐𝒘𝒔 𝒏𝒐𝒕𝒉𝒊𝒏𝒈 𝒐𝒇."— 𝑩𝒍𝒂𝒊𝒔𝒆 𝑷𝒂𝒔𝒄𝒂𝒍It is ironical how a man who thought randomness...
18/06/2026

"𝑻𝒉𝒆 𝒉𝒆𝒂𝒓𝒕 𝒉𝒂𝒔 𝒊𝒕𝒔 𝒓𝒆𝒂𝒔𝒐𝒏𝒔 𝒘𝒉𝒊𝒄𝒉 𝒓𝒆𝒂𝒔𝒐𝒏 𝒌𝒏𝒐𝒘𝒔 𝒏𝒐𝒕𝒉𝒊𝒏𝒈 𝒐𝒇."
— 𝑩𝒍𝒂𝒊𝒔𝒆 𝑷𝒂𝒔𝒄𝒂𝒍
It is ironical how a man who thought randomness could be calculated in probabilistically mathematical way later resorted to existentialism and philosophy to satiate his lacking understanding of the world. Blaise Pascal was a man of contradiction who thought the world's fundamental to be incoherent and out of reach of human understanding yet he strived more to understand the lackings of it all. On one hand, he wanted absolute, empirical proof, proving that vacuums could exist and defining how fluids behave under pressure. On the other hand, he looked at the infinite cosmos and realized that human logic has its limits, ultimately framing his famous "𝑾𝒂𝒈𝒆𝒓" as a matter of infinite risk management.

Nowhere is this balance of simplicity and complexity clearer than in 𝑷𝒂𝒔𝒄𝒂𝒍’𝒔 𝑻𝒓𝒊𝒂𝒏𝒈𝒍𝒆. To a child, it might just look like a pyramid of simple addition, but to a mathematician, it is an elegant pattern that connects combinatorics, binomial expansions, and probability theory. Ironically, this entire foundation of math only came about because his friend wanted to edge out the competition in a game of dice.

Today, 𝑵𝒐𝒕𝒓𝒆 𝑫𝒂𝒎𝒆 𝑴𝒂𝒕𝒉 𝑪𝒍𝒖𝒃 honors the brilliant, conflicted mind of Blaise Pascal. He gave us the Pascal unit for pressure, the world's first functional mechanical calculator, and a mathematical triangle that never runs out of secrets. He reminded us that we are all thinking reeds–fragile, but capable of measuring the universe.

𝐆𝐎𝐀𝐓 𝐭𝐢𝐭𝐥𝐞 𝐬𝐞𝐭𝐭𝐥𝐞𝐝?Yesterday's challenge began with one of football's greatest rivalries and ended with an unexpected ge...
18/06/2026

𝐆𝐎𝐀𝐓 𝐭𝐢𝐭𝐥𝐞 𝐬𝐞𝐭𝐭𝐥𝐞𝐝?

Yesterday's challenge began with one of football's greatest rivalries and ended with an unexpected geometric twist. Participants followed 𝐂𝐫𝐢𝐬𝐭𝐢𝐚𝐧𝐨 𝐑𝐨𝐧𝐚𝐥𝐝𝐨's run through angle bisectors, tangent circles, and similar triangles, only to discover that the blueprint itself concealed a fundamental flaw.

Sometimes, solving a problem is not about finding the answer, it is about proving that the answer's existence. 𝐂𝐫𝐢𝐬𝐭𝐢𝐚𝐧𝐨 didn't score on the pitch, so why look for a mathematical universe where he magically covers the distance and finds the back of the net?

Congratulations to everyone who submitted a solution, and special applause to today's top solvers for spotting what many missed!

The official solution and the list of top scorers are attached below.

The journey on the 𝐑𝐨𝐚𝐝 𝐭𝐨 𝐭𝐡𝐞 𝐅𝐢𝐧𝐚𝐥 𝐏𝐫𝐨𝐨𝐟 continues. Stay tuned for the next challenge!


গত ১-২ মে, নটর ডেম ম্যাথ ক্লাব কর্তৃক আয়োজিত হয়েছে 'সিটি ব্যাংক পিএলসি প্রেজেন্টস ৬ষ্ঠ জাতীয় গণিত উৎসব'। উক্ত আয়োজনের ব্...
18/06/2026

গত ১-২ মে, নটর ডেম ম্যাথ ক্লাব কর্তৃক আয়োজিত হয়েছে 'সিটি ব্যাংক পিএলসি প্রেজেন্টস ৬ষ্ঠ জাতীয় গণিত উৎসব'। উক্ত আয়োজনের ব্যাপারে প্রতিবেদন প্রকাশিত হয়েছে ম্যাগাজিন পার্টনার 'কিশোর আলো'-র জুন সংখ্যায়।

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