Benoit Mandelbrot accepts an award in 2003.
Benoit Mandelbrot accepts an award in 2003.

Father of fractals Mandelbrot dies



The mathematical visionary Benoit Mandelbrot, who has died aged 85, was best known for his advances in geometry, but his theories would also have a significant impact on economics.

Known for his sharp tongue and geeky appearance - his magnifying-lens spectacles made him a cartoon mathematician for many - he was revered for the aesthetic beauty of his ideas and went to his grave denouncing the follies of capitalism.

A Polish Jew who escaped the Holocaust, Mandelbrot developed a theory of fractal (broken) dimensions that shed light on the geometry of nature. Where standard Euclidean geometry defines relationships in three-dimensional space, fractal geometry gives us access to the complexity and irregularity of natural surfaces and boundaries, such as clouds, coastlines and cauliflowers, which he explained in terms of "self-similarity", or the tendency to look the same at all scales.

A founding father of chaos theory, his ideas gained darker resonance when applied to markets. "The financiers of the world are like mariners who heed no weather warnings," he warned in 2004.

But he was also noted for his charm. "Being a language, mathematics may be used not only to inform but also to seduce," he said. That is certainly true of the beguiling beauty of the mathematical object that bears his name, the Mandelbrot set, where you can zoom in indefinitely - or at least to the limits of your computer's precision - revealing fantastic structures and patterns.

Mandelbrot also turned his insight upon himself. "For most of my life, the person most baffled by my work was myself. Yet, when I look back I see a pattern," he remarked.

Dust and sand storms compared

Sand storm

  • Particle size: Larger, heavier sand grains
  • Visibility: Often dramatic with thick "walls" of sand
  • Duration: Short-lived, typically localised
  • Travel distance: Limited 
  • Source: Open desert areas with strong winds

Dust storm

  • Particle size: Much finer, lightweight particles
  • Visibility: Hazy skies but less intense
  • Duration: Can linger for days
  • Travel distance: Long-range, up to thousands of kilometres
  • Source: Can be carried from distant regions
ONCE UPON A TIME IN GAZA

Starring: Nader Abd Alhay, Majd Eid, Ramzi Maqdisi

Directors: Tarzan and Arab Nasser

Rating: 4.5/5

Company profile

Date started: 2015

Founder: John Tsioris and Ioanna Angelidaki

Based: Dubai

Sector: Online grocery delivery

Staff: 200

Funding: Undisclosed, but investors include the Jabbar Internet Group and Venture Friends

MISSION: IMPOSSIBLE – FINAL RECKONING

Director: Christopher McQuarrie

Starring: Tom Cruise, Hayley Atwell, Simon Pegg

Rating: 4/5

COMPANY PROFILE
Name: Kumulus Water
 
Started: 2021
 
Founders: Iheb Triki and Mohamed Ali Abid
 
Based: Tunisia 
 
Sector: Water technology 
 
Number of staff: 22 
 
Investment raised: $4 million 
How Sputnik V works
Skewed figures

In the village of Mevagissey in southwest England the housing stock has doubled in the last century while the number of residents is half the historic high. The village's Neighbourhood Development Plan states that 26% of homes are holiday retreats. Prices are high, averaging around £300,000, £50,000 more than the Cornish average of £250,000. The local average wage is £15,458. 

Jewel of the Expo 2020

252 projectors installed on Al Wasl dome

13.6km of steel used in the structure that makes it equal in length to 16 Burj Khalifas

550 tonnes of moulded steel were raised last year to cap the dome

724,000 cubic metres is the space it encloses

Stands taller than the leaning tower of Pisa

Steel trellis dome is one of the largest single structures on site

The size of 16 tennis courts and weighs as much as 500 elephants

Al Wasl means connection in Arabic

World’s largest 360-degree projection surface

At a glance

Global events: Much of the UK’s economic woes were blamed on “increased global uncertainty”, which can be interpreted as the economic impact of the Ukraine war and the uncertainty over Donald Trump’s tariffs.

 

Growth forecasts: Cut for 2025 from 2 per cent to 1 per cent. The OBR watchdog also estimated inflation will average 3.2 per cent this year

 

Welfare: Universal credit health element cut by 50 per cent and frozen for new claimants, building on cuts to the disability and incapacity bill set out earlier this month

 

Spending cuts: Overall day-to day-spending across government cut by £6.1bn in 2029-30 

 

Tax evasion: Steps to crack down on tax evasion to raise “£6.5bn per year” for the public purse

 

Defence: New high-tech weaponry, upgrading HM Naval Base in Portsmouth

 

Housing: Housebuilding to reach its highest in 40 years, with planning reforms helping generate an extra £3.4bn for public finances

The five pillars of Islam

1. Fasting

2. Prayer

3. Hajj

4. Shahada

5. Zakat 

Dr Afridi's warning signs of digital addiction

Spending an excessive amount of time on the phone.

Neglecting personal, social, or academic responsibilities.

Losing interest in other activities or hobbies that were once enjoyed.

Having withdrawal symptoms like feeling anxious, restless, or upset when the technology is not available.

Experiencing sleep disturbances or changes in sleep patterns.

What are the guidelines?

Under 18 months: Avoid screen time altogether, except for video chatting with family.

Aged 18-24 months: If screens are introduced, it should be high-quality content watched with a caregiver to help the child understand what they are seeing.

Aged 2-5 years: Limit to one-hour per day of high-quality programming, with co-viewing whenever possible.

Aged 6-12 years: Set consistent limits on screen time to ensure it does not interfere with sleep, physical activity, or social interactions.

Teenagers: Encourage a balanced approach – screens should not replace sleep, exercise, or face-to-face socialisation.

Source: American Paediatric Association
Our family matters legal consultant

Name: Hassan Mohsen Elhais

Position: legal consultant with Al Rowaad Advocates and Legal Consultants.

Frankenstein in Baghdad
Ahmed Saadawi
​​​​​​​Penguin Press

Countries offering golden visas

UK
Innovator Founder Visa is aimed at those who can demonstrate relevant experience in business and sufficient investment funds to set up and scale up a new business in the UK. It offers permanent residence after three years.

Germany
Investing or establishing a business in Germany offers you a residence permit, which eventually leads to citizenship. The investment must meet an economic need and you have to have lived in Germany for five years to become a citizen.

Italy
The scheme is designed for foreign investors committed to making a significant contribution to the economy. Requires a minimum investment of €250,000 which can rise to €2 million.

Switzerland
Residence Programme offers residence to applicants and their families through economic contributions. The applicant must agree to pay an annual lump sum in tax.

Canada
Start-Up Visa Programme allows foreign entrepreneurs the opportunity to create a business in Canada and apply for permanent residence. 

House-hunting

Top 10 locations for inquiries from US house hunters, according to Rightmove

  1. Edinburgh, Scotland 
  2. Westminster, London 
  3. Camden, London 
  4. Glasgow, Scotland 
  5. Islington, London 
  6. Kensington and Chelsea, London 
  7. Highlands, Scotland 
  8. Argyll and Bute, Scotland 
  9. Fife, Scotland 
  10. Tower Hamlets, London 

 

The Sand Castle

Director: Matty Brown

Stars: Nadine Labaki, Ziad Bakri, Zain Al Rafeea, Riman Al Rafeea

Rating: 2.5/5

UK's plans to cut net migration

Under the UK government’s proposals, migrants will have to spend 10 years in the UK before being able to apply for citizenship.

Skilled worker visas will require a university degree, and there will be tighter restrictions on recruitment for jobs with skills shortages.

But what are described as "high-contributing" individuals such as doctors and nurses could be fast-tracked through the system.

Language requirements will be increased for all immigration routes to ensure a higher level of English.

Rules will also be laid out for adult dependants, meaning they will have to demonstrate a basic understanding of the language.

The plans also call for stricter tests for colleges and universities offering places to foreign students and a reduction in the time graduates can remain in the UK after their studies from two years to 18 months.

The 12 Syrian entities delisted by UK 

Ministry of Interior
Ministry of Defence
General Intelligence Directorate
Air Force Intelligence Agency
Political Security Directorate
Syrian National Security Bureau
Military Intelligence Directorate
Army Supply Bureau
General Organisation of Radio and TV
Al Watan newspaper
Cham Press TV
Sama TV

The specs
 
Engine: 3.0-litre six-cylinder turbo
Power: 398hp from 5,250rpm
Torque: 580Nm at 1,900-4,800rpm
Transmission: Eight-speed auto
Fuel economy, combined: 6.5L/100km
On sale: December
Price: From Dh330,000 (estimate)

Mercer, the investment consulting arm of US services company Marsh & McLennan, expects its wealth division to at least double its assets under management (AUM) in the Middle East as wealth in the region continues to grow despite economic headwinds, a company official said.

Mercer Wealth, which globally has $160 billion in AUM, plans to boost its AUM in the region to $2-$3bn in the next 2-3 years from the present $1bn, said Yasir AbuShaban, a Dubai-based principal with Mercer Wealth.

Within the next two to three years, we are looking at reaching $2 to $3 billion as a conservative estimate and we do see an opportunity to do so,” said Mr AbuShaban.

Mercer does not directly make investments, but allocates clients’ money they have discretion to, to professional asset managers. They also provide advice to clients.

“We have buying power. We can negotiate on their (client’s) behalf with asset managers to provide them lower fees than they otherwise would have to get on their own,” he added.

Mercer Wealth’s clients include sovereign wealth funds, family offices, and insurance companies among others.

From its office in Dubai, Mercer also looks after Africa, India and Turkey, where they also see opportunity for growth.

Wealth creation in Middle East and Africa (MEA) grew 8.5 per cent to $8.1 trillion last year from $7.5tn in 2015, higher than last year’s global average of 6 per cent and the second-highest growth in a region after Asia-Pacific which grew 9.9 per cent, according to consultancy Boston Consulting Group (BCG). In the region, where wealth grew just 1.9 per cent in 2015 compared with 2014, a pickup in oil prices has helped in wealth generation.

BCG is forecasting MEA wealth will rise to $12tn by 2021, growing at an annual average of 8 per cent.

Drivers of wealth generation in the region will be split evenly between new wealth creation and growth of performance of existing assets, according to BCG.

Another general trend in the region is clients’ looking for a comprehensive approach to investing, according to Mr AbuShaban.

“Institutional investors or some of the families are seeing a slowdown in the available capital they have to invest and in that sense they are looking at optimizing the way they manage their portfolios and making sure they are not investing haphazardly and different parts of their investment are working together,” said Mr AbuShaban.

Some clients also have a higher appetite for risk, given the low interest-rate environment that does not provide enough yield for some institutional investors. These clients are keen to invest in illiquid assets, such as private equity and infrastructure.

“What we have seen is a desire for higher returns in what has been a low-return environment specifically in various fixed income or bonds,” he said.

“In this environment, we have seen a de facto increase in the risk that clients are taking in things like illiquid investments, private equity investments, infrastructure and private debt, those kind of investments were higher illiquidity results in incrementally higher returns.”

The Abu Dhabi Investment Authority, one of the largest sovereign wealth funds, said in its 2016 report that has gradually increased its exposure in direct private equity and private credit transactions, mainly in Asian markets and especially in China and India. The authority’s private equity department focused on structured equities owing to “their defensive characteristics.”

The specs
Engine: 4.0-litre flat-six
Power: 510hp at 9,000rpm
Torque: 450Nm at 6,100rpm
Transmission: 7-speed PDK auto or 6-speed manual
Fuel economy, combined: 13.8L/100km
On sale: Available to order now
Price: From Dh801,800
Our legal consultant

Name: Dr Hassan Mohsen Elhais

Position: legal consultant with Al Rowaad Advocates and Legal Consultants.

Specs
Engine: Electric motor generating 54.2kWh (Cooper SE and Aceman SE), 64.6kW (Countryman All4 SE)
Power: 218hp (Cooper and Aceman), 313hp (Countryman)
Torque: 330Nm (Cooper and Aceman), 494Nm (Countryman)
On sale: Now
Price: From Dh158,000 (Cooper), Dh168,000 (Aceman), Dh190,000 (Countryman)
UK-EU trade at a glance

EU fishing vessels guaranteed access to UK waters for 12 years

Co-operation on security initiatives and procurement of defence products

Youth experience scheme to work, study or volunteer in UK and EU countries

Smoother border management with use of e-gates

Cutting red tape on import and export of food

The National's picks

4.35pm: Tilal Al Khalediah
5.10pm: Continous
5.45pm: Raging Torrent
6.20pm: West Acre
7pm: Flood Zone
7.40pm: Straight No Chaser
8.15pm: Romantic Warrior
8.50pm: Calandogan
9.30pm: Forever Young

Key figures in the life of the fort

Sheikh Dhiyab bin Isa (ruled 1761-1793) Built Qasr Al Hosn as a watchtower to guard over the only freshwater well on Abu Dhabi island.

Sheikh Shakhbut bin Dhiyab (ruled 1793-1816) Expanded the tower into a small fort and transferred his ruling place of residence from Liwa Oasis to the fort on the island.

Sheikh Tahnoon bin Shakhbut (ruled 1818-1833) Expanded Qasr Al Hosn further as Abu Dhabi grew from a small village of palm huts to a town of more than 5,000 inhabitants.

Sheikh Khalifa bin Shakhbut (ruled 1833-1845) Repaired and fortified the fort.

Sheikh Saeed bin Tahnoon (ruled 1845-1855) Turned Qasr Al Hosn into a strong two-storied structure.

Sheikh Zayed bin Khalifa (ruled 1855-1909) Expanded Qasr Al Hosn further to reflect the emirate's increasing prominence.

Sheikh Shakhbut bin Sultan (ruled 1928-1966) Renovated and enlarged Qasr Al Hosn, adding a decorative arch and two new villas.

Sheikh Zayed bin Sultan (ruled 1966-2004) Moved the royal residence to Al Manhal palace and kept his diwan at Qasr Al Hosn.

Sources: Jayanti Maitra, www.adach.ae

The Settlers

Director: Louis Theroux

Starring: Daniella Weiss, Ari Abramowitz

Rating: 5/5

2020 Oscars winners: in numbers
  • Parasite – 4
  • 1917– 3
  • Ford v Ferrari – 2
  • Joker – 2
  • Once Upon a Time ... in Hollywood – 2
  • American Factory – 1
  • Bombshell – 1
  • Hair Love – 1
  • Jojo Rabbit – 1
  • Judy – 1
  • Little Women – 1
  • Learning to Skateboard in a Warzone (If You're a Girl) – 1
  • Marriage Story – 1
  • Rocketman – 1
  • The Neighbors' Window – 1
  • Toy Story 4 – 1
if you go
ICC Women's T20 World Cup Asia Qualifier 2025, Thailand

UAE fixtures
May 9, v Malaysia
May 10, v Qatar
May 13, v Malaysia
May 15, v Qatar
May 18 and 19, semi-finals
May 20, final

The Al Barzakh Festival takes place on Wednesday and Thursday at 7.30pm in the Red Theatre, NYUAD, Saadiyat Island. Tickets cost Dh105 for adults from platinumlist.net

2025 Fifa Club World Cup groups

Group A: Palmeiras, Porto, Al Ahly, Inter Miami.

Group B: Paris Saint-Germain, Atletico Madrid, Botafogo, Seattle.

Group C: Bayern Munich, Auckland City, Boca Juniors, Benfica.

Group D: Flamengo, ES Tunis, Chelsea, (Leon banned).

Group E: River Plate, Urawa, Monterrey, Inter Milan.

Group F: Fluminense, Borussia Dortmund, Ulsan, Mamelodi Sundowns.

Group G: Manchester City, Wydad, Al Ain, Juventus.

Group H: Real Madrid, Al Hilal, Pachuca, Salzburg.

HEADLINE HERE
  • I would recommend writing out the text in the body 
  • And then copy into this box
  • It can be as long as you link
  • But I recommend you use the bullet point function (see red square)
  • Or try to keep the word count down
  • Be wary of other embeds lengthy fact boxes could crash into 
  • That's about it
What is blockchain?

Blockchain is a form of distributed ledger technology, a digital system in which data is recorded across multiple places at the same time. Unlike traditional databases, DLTs have no central administrator or centralised data storage. They are transparent because the data is visible and, because they are automatically replicated and impossible to be tampered with, they are secure.

The main difference between blockchain and other forms of DLT is the way data is stored as ‘blocks’ – new transactions are added to the existing ‘chain’ of past transactions, hence the name ‘blockchain’. It is impossible to delete or modify information on the chain due to the replication of blocks across various locations.

Blockchain is mostly associated with cryptocurrency Bitcoin. Due to the inability to tamper with transactions, advocates say this makes the currency more secure and safer than traditional systems. It is maintained by a network of people referred to as ‘miners’, who receive rewards for solving complex mathematical equations that enable transactions to go through.

However, one of the major problems that has come to light has been the presence of illicit material buried in the Bitcoin blockchain, linking it to the dark web.

Other blockchain platforms can offer things like smart contracts, which are automatically implemented when specific conditions from all interested parties are reached, cutting the time involved and the risk of mistakes. Another use could be storing medical records, as patients can be confident their information cannot be changed. The technology can also be used in supply chains, voting and has the potential to used for storing property records.

PROFILE OF SWVL

Started: April 2017

Founders: Mostafa Kandil, Ahmed Sabbah and Mahmoud Nouh

Based: Cairo, Egypt

Sector: transport

Size: 450 employees

Investment: approximately $80 million

Investors include: Dubai’s Beco Capital, US’s Endeavor Catalyst, China’s MSA, Egypt’s Sawari Ventures, Sweden’s Vostok New Ventures, Property Finder CEO Michael Lahyani

COMPANY%20PROFILE
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IF YOU GO

The flights

FlyDubai flies direct from Dubai to Skopje in five hours from Dh1,314 return including taxes. Hourly buses from Skopje to Ohrid take three hours.

The tours

English-speaking guided tours of Ohrid town and the surrounding area are organised by Cultura 365; these cost €90 (Dh386) for a one-day trip including driver and guide and €100 a day (Dh429) for two people. 

The hotels

Villa St Sofija in the old town of Ohrid, twin room from $54 (Dh198) a night.

St Naum Monastery, on the lake 30km south of Ohrid town, has updated its pilgrims' quarters into a modern 3-star hotel, with rooms overlooking the monastery courtyard and lake. Double room from $60 (Dh 220) a night.

 

GAC GS8 Specs

Engine: 2.0-litre 4cyl turbo

Power: 248hp at 5,200rpm

Torque: 400Nm at 1,750-4,000rpm

Transmission: 8-speed auto

Fuel consumption: 9.1L/100km

On sale: Now

Price: From Dh149,900