Mathematics.
The number 69,696 is a remarkable number and certainly my favorite of all the integers. A monk once presented this number to a student and said: "What do you find significant about 69,696?"
The student thought for a few seconds and replied, "That is too easy, Master. It's the largest undulating square known to humanity.โ The teacher pondered this answer, and he started to undulate in a mixture of excitement and perhaps even terror.
To understand the monk's passionate response, we must digress to some simple mathematics. โUndulating Numbersโ are of the form: ababababab.... For example, 171717 and 28282 are undulating numbers. A square number is of the form y=xยฒ. For example, 25 is a square number. So is 16. An undulating square is simply a square number that undulates.
When I first conceived the idea of undulating squares many years ago, it was not known if any such numbers existed. It turns out that 69696 = 264ยฒ is indeed the largest undulating square known to humanity, and most mathematicians believe we will never find a larger one.
-- From my book: Pickover, C., "Keys to Infinity," Wiley.
BREAKING: Iranโs FM Abbas Araghchi has confirmed in a call with his Russian counterpart Sergey Lavrov that closing the Strait of Hormuz to US and Israeli ships is a โlegitimate measureโ, according to Iranโs Foreign Ministry.
๐ด LIVE updates: https://t.co/0DRYbrg1QM
Innalillahi wa inna ilaihi raji'un. She's been saving money to perform Umrah, but she passed away in Saudia Airlines Flight before she could arrive for the pilgrimage.
BREAKING NEWS: South Africans protest against Nigerians ๐ณ๐ฌ, Pakistan, Bangladesh, Mexico, and other countries, blaming them for taking jobs and contributing to crime.
๐ช๐ต๐ผ ๐๐ต๐ผ๐๐น๐ฑ ๐๐ฒ ๐๐๐ฝ๐ฝ๐ผ๐ฟ๐?
Many Muslims are asking ๐๐๐ ๐๐ ๐๐๐๐๐๐ ๐๐๐๐๐๐๐ ๐๐ ๐๐๐๐๐๐๐๐๐ like the one unfolding today?
Our principles as Muslims must remain clear: we stand with the oppressed and we oppose oppression, regardless of who commits it or who suffers from it.
At the same time, we must speak honestly. Within the Muslim world there are deep and serious divisions in creed, politics, and history. These are not merely minor disagreements. In many places Muslims have suffered at the hands of other Muslims, and these wounds are real. They should not be denied or erased.
But justice in Islam is not conditional on agreement. A people may hold serious errors or have committed wrongdoing, and yet still be wronged in another situation. Recognising that oppression is taking place does not mean endorsing their beliefs or overlooking past crimes. It simply means refusing to abandon justice.
Allah commands:
โDo not let the hatred of a people cause you to be unjust. Be just; that is closer to righteousness.โ (Qurโan 5:8)
This principle becomes most difficult precisely when emotions are strongest. Anger, grief, and historical grievances can easily push people toward positions that feel satisfying in the moment but ultimately contradict the moral framework Islam demands.
At the same time, we remember the divine patterns that Allah has established in history. Oppression carries consequences, even when it appears to persist for a time.
Allah says:
โDo not think that Allah is unaware of what the wrongdoers do.โ (Qurโan 14:42)
Many regimes and powers in our time have committed grave injustices and bloodshed. Their reckoning with Allah is certain, whether it comes in this life or the next. But recognising this reality does not give us permission to abandon justice in our own speech and conduct.
History itself offers sobering reminders of how dangerous it can be when anger and division cloud judgment.
In the early thirteenth century, the Khwarazmian Empire stood as a major Muslim power in Central Asia and Iran. Like many states, it had committed injustices and had many enemies. When the Mongols invaded and destroyed this empire, some people who had suffered under its rule initially welcomed its fall, believing that the removal of a hated authority would improve their situation.
The great Muslim historian Ibn al-Athir, who lived during this period and witnessed the devastation, wrote about the Mongol invasion with profound anguish. He described it as a catastrophe so immense that he hesitated even to record it in his history.
What soon became clear was that the collapse of that state had removed the main barrier standing between the Mongol armies and the rest of the Muslim lands. City after city fell, and the devastation eventually reached Baghdad itself.
The lesson is not that every ruler or state must be defended, nor that the Khwarazmian rulers themselves were free of wrongdoing. The lesson is that hatred and grievance can sometimes blind people to consequences. In their anger toward a power they disliked, some failed to recognise that its fall would open the door to a far greater disaster.
This is why Islam insists that justice must remain our compass even when emotions run high.
Sectarian divisions, political loyalties, and historical grievances are real. But they must never lead us to celebrate oppression, justify injustice, or abandon fairness.
The believerโs position must remain principled, not partisan. We reject oppression wherever it appears. We stand for justice wherever it is due. And we refuse to allow anger, division, or past grievances to push us into positions that betray the moral standards of our faith.
In times of turmoil, holding firmly to justice may feel difficult. But it is precisely in such moments that justice matters most.
And Allah knows best.
From next year, migrants wishing to stay in the UK permanently will need to speak, listen, read and write in English to an A-level equivalent standard.
It is right that those who wish to build a life here work hard, contribute and are able to play a full part in British life.
His Excellency the President of Religious Affairs, Sheikh Abdur Rahman As Sudais delivered a wireless message to the field staff of the Presidency:
โRamadan is at the doorsโฆ Seek reward from Allah, be sincere, and be truthful with Allah, the Almighty.โ
@instagram can you just allow the video to continue from where I stopped watching, rather than restarting it the moment I scrolled up or down or minimized the app to attend to other matters? Thanks
Convicted kidnap kingpin, Chukwudimeme Onwuamadike, alias Evans, on Thursday, told the Lagos State High Court in Ikeja that he has repented from his criminal activities and has applied to the Lagos State Government for mercy.
https://t.co/53zDMN3Fnd
GOOD NEWS!
Bello Turji, the notorious bandit leader, has reportedly fled following a decisive military offensive that resulted in the elimination of his second-in-command, Aminu Kanawa, along with several key members of his group
Aminu Kanawa was notorious for masterminding numerous violent banditry attacks across Zurmi, Shinkafi, Isa, and Sabon Birni in Zamfara and Sokoto States.
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