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Mathematical Mail Lyubomir Lyubenov is a math teacher, born on 6th March 1960. He graduated from Plovdiv University in 1981. (Stara Zagora).

He worked as a mathematics teacher in secondary and higher education, and also in the state administration of Bulgaria from 2002 until 2012. Lyubomir Lyubenov is the founder of the international mathematics tournament "Drouzhba" („ Mathematics Competitions ” - "Drouzhba" Mathematical Contest , pp. 10-14, Vol 3, No 2, 199 0; Kvant, 1991 г.), during which was held the first mathematical linguistics competition in the world, in 1988. He is a member of the "International mathematics tournament of towns" organisers committee. Author of three articles, published in the magazine "Mathematics Competitions" of the World Federation of National Mathematics Competitions . (WFNMC) in 1990, 1998 и 2001 ( Ingenious Solutions to Competition Problems , pp. 75-85, Vol 14, No 1, 2001; Mathematics Competitions under the Aegis of a Newspaper , pp. 20-35, Vol 11, No 1, 1998; "Drouzhba" Mathematical Contest , pp. 10-14, Vol 3, No 2, 199 0 ). Publisher of the "Mathematics post" newspaper. (1991-2004)
Author of mathematical problems and articles, published in issues in Canada, Singapore, Germany, Poland, Romania, Russia and Australia.

22/09/2026

OLIVE WREATHS AND PHOTOGRAPHS IN FRONT OF THE LIBRARY OF CELSUS
WILL MARK THE ACHIEVEMENTS OF THE WINNERS OF THE NINTH EDITION
OF THE INTERNATIONAL MATHEMATICS TOURNAMENT “IN THE STEPS OF THALES”

The olive wreath (known in Ancient Greece as the kotinos) is one of the most recognizable symbols of peace, victory, wisdom and glory. In ancient times, the winners of the Ancient Olympic Games were crowned with such a wreath. It was made from branches of the sacred wild olive tree in Olympia.

The Library of Celsus in Ephesus is one of the most impressive monuments of the ancient world. It was built in honour and memory of the Roman senator Tiberius Julius Celsus Polemaeanus, whose tomb is located beneath the building. The library held approximately 12,000 scrolls. Its magnificent façade and ingenious architectural design have made it one of the symbols of ancient Ephesus.

There are only 3 days left until the deadline – 25 September 2026 – for submitting applications for participation and a copy of the payment document for the participation fee in the ninth edition of the International Mathematics Tournament “In the Steps of Thales”, which will be held on 10 October 2026.

The competition is intended for students aged 10 to 18, divided into 7 age groups. Participants will solve mathematical problems, and the competition time is 60 minutes.

The competition will start at:

10:00 – Türkiye
12:00 – Kazakhstan
12:30 – India
14:00 – Vietnam
16:30 – the Philippines
08:00 – Colombia

Competitors from countries located more than 2,000 km from the competition venue will participate remotely under organized supervision. The results of both in-person and remote participants will be included in one overall ranking, which will be announced on 11 October 2026.

AWARDS

The students who place first, second and third in each age group will receive trophies and olive wreaths.

Gold medals will be awarded to the top 10% of participants, silver medals to the next 15%, and bronze medals to the next 25%.

There will also be a school team ranking. Each school’s team score will be determined by the three best results achieved by students from three different grades of the same school.

Members of the best teams will receive gold, silver and bronze medals.

STUDENT PRESENTATION COMPETITION

As part of the tournament, there will also be a student presentation competition entitled “In the Steps of Thales.”

The students’ presentations will be published before the competition on www.izmirsmyrnamath.com, and the three best projects will be awarded during the awards ceremony.

IMPORTANT DATES

25 September 2026 – deadline for submitting applications for participation and a copy of the payment document for the participation fee.

30 September 2026 – publication of the list of tournament participants on www.izmirsmyrnamath.com.

10 October 2026, 10:00 Türkiye time – start of the competition at Grand Efe.

11 October 2026, 09:00 Türkiye time – awards ceremony at Grand Efe.

After the ceremony, photographs of the winners wearing their olive wreaths in front of the Library of Celsus in Ephesus are planned.

For questions and additional information, please contact:

[email protected]

Best regards,

Mustafa Öztürk
Lyubomir Lyubenov

Organizers of the International Mathematics Tournament
“In the Steps of Thales”

“MATHEMATICS WITHOUT BORDERS” – MATHEMATICS, FRIENDSHIP AND A MESSAGE OF PEACEThe International Tournament “Mathematics ...
18/09/2026

“MATHEMATICS WITHOUT BORDERS” – MATHEMATICS, FRIENDSHIP AND A MESSAGE OF PEACE
The International Tournament “Mathematics Without Borders” was founded in 2013 by Lyubomir Lyubenov, Vanya Dimova and Dimana McCallum, with the idea of giving children from different parts of the world an opportunity to meet through a language that needs no translation – the language of mathematics.
In June 2014, Nessebar welcomed the participants in the first International Final.
Since then – thirteen Finals.
And the venue of the great summer gathering has remained unchanged.
Nessebar – where the Balkan Mountains meet the sea, and where the millennia-old town, part of the world’s cultural and historical heritage under UNESCO protection, becomes the capital of young mathematicians every summer.
FROM 7 TO 18 YEARS OF AGE – NINE AGE GROUPS
“Mathematics Without Borders” is a tournament for students from 7 to 18 years of age, divided into nine age groups.
Group 1 – 7-year-olds; Group 2 – 8-year-olds; Group 3 – 9-year-olds; Group 4 – 10-year-olds; Group 5 – 11-year-olds; Group 6 – 12-year-olds; Group 7 – 13-year-olds; Group 8 – 14-year-olds; Group 9 – students aged 15 to 18.
Thus, a child can take their first steps in the tournament at the age of seven and remain part of it until graduating from school.
AUTUMN, WINTER, SPRING AND… SUMMER BY THE SEA
The tournament was created as a competition held in stages – three rounds during the school year and an International Final in the summer.
The three rounds follow the seasons in Bulgaria – an Autumn Round in October, a Winter Round in January and a Spring Round in March. They are held remotely at partner schools. A Semifinal is also organized for Bulgarian participants to determine the finalists.
And in summer, all roads lead to Nessebar.
Each individual round and the individual Final follow the same basic format – 20 problems in 60 minutes.
MATHEMATICAL RELAY
The Final also has its own team competition – the “Mathematical Relay”.
Here, mathematics becomes a team game. The problems are interconnected – the answer to each preceding problem is used in the statement of the next one.
Thus, success depends not only on knowledge, but also on speed, trust and the ability to work together with others.
NESSEBAR – A MEETING PLACE FOR 25 COUNTRIES
Over the thirteen editions of the tournament, Nessebar has welcomed young mathematicians from 25 countries:
Australia, Azerbaijan, Armenia, Belarus, Bulgaria, Vietnam, Estonia, Iran, Kazakhstan, China, Kyrgyzstan, Malta, Mexico, Romania, Russia, North Macedonia, the USA, Slovenia, Serbia, Turkey, Uzbekistan, Ukraine, the Philippines, Hong Kong and Montenegro.
At the thirteenth Final alone, held in Nessebar in July 2026, nearly 900 students from 11 countries came together.
A TOURNAMENT THAT HAS REACHED 43 COUNTRIES
The geographical reach of the remote rounds and Finals is even broader. Over the years, students from 43 countries have taken part:
Australia, Azerbaijan, Albania, Armenia, Afghanistan, Belarus, Bosnia and Herzegovina, Brazil, Bulgaria, the United Kingdom, Venezuela, Vietnam, Estonia, Indonesia, Iran, Kazakhstan, Canada, Kyrgyzstan, China, Malaysia, Malta, Mexico, Myanmar, Moldova, Nigeria, Poland, Romania, Russia, the USA, North Macedonia, Singapore, Slovenia, Serbia, Taiwan, Turkmenistan, Turkey, Uzbekistan, Ukraine, the Philippines, Hong Kong, Montenegro, Switzerland and South Africa.
By the Spring Round of 2026, 626,217 certificates had been issued for participation in the tournament.
Behind this number stand hundreds of thousands of children, thousands of teachers and countless hours of work in schools from different parts of the world.
DOVES AND OLIVE BRANCHES – A MESSAGE OF PEACE
“Mathematics Without Borders” has never been merely a competition for points, medals and trophies.
Among its symbols are white doves and olive branches – a message of peace.
At the 2026 Final, the stars of the tournament, the organizers and the hosts once again released white doves over Nessebar – with a message of peace to the world.
This is also one of the ideas embedded in the tournament from its very beginning – children can be rivals when facing a mathematics problem without being enemies.
Different languages.
Different flags.
The same problems.
Mathematics Without Borders.
THE EMBLEM OF THE TOURNAMENT
“Mathematics Without Borders” has its own emblem, created by Aliya Iskakova from Kazakhstan.
This, too, is part of the symbolism of the tournament – a competition created in Bulgaria, whose identity has been shaped over the years with the participation of people from different countries.
THE TOURNAMENT HAS ITS OWN SONG
“Mathematics Without Borders” also has its own song.
The lyrics are by Ivan Nenkov, the poet of the sea, the music is by Milena Dobreva, and the arrangement is by Ruslan Karagyozov.
The song is performed by “The Sea Grains of Sand” and remains part of the musical history of the Finals in Nessebar.
Ivan Nenkov’s message is expressed in the chorus of the song:
“We gather all the smiles,
subtract the sadness,
and life becomes different,
not only in the song.
We share what we have
and we are strong because
we multiply the good
for everyone around the World!”
But the music of “Mathematics Without Borders” is much more than a single song.
It is part of the way Bulgaria welcomes the children of the world.
Bulgarian National Radio soloist Georgi Dobrev tells the legends of Bulgaria through the sound of the kaval.
The rhythm and synchrony of “Dimitrov’s Boys” bring to the stage the power of Bulgarian dance.
And the Final ends with a song that left the boundaries of Earth long ago.
“Izlel e Delyo Haydutin”, performed by Valya Balkanska – the song sent into space on the Voyager Golden Record.
At the last two Finals, it was performed in Nessebar by Nikolina Savova and Maria Stefanova, also known from the music show “The Voice of Bulgaria”.
And then the ceremony is no longer simply an awards ceremony.
In one place come together mathematics, Bulgarian music, dance, the sea and children from different parts of the world.
MEDALS, TROPHIES, LAUREL WREATHS AND A BULGARIAN ROSE
In the individual rounds, participants receive certificates, while the best-performing students receive gold, silver and bronze medals.
The Final adds cups and other special trophies.
And the winners take the stage wearing laurel wreaths and holding Bulgarian roses.
The laurel wreath – a symbol of victory.
The Bulgarian rose – a memory of the host country.
THIRTEEN FINALS – THIRTEEN FILMS
A short film has been created for each of the thirteen Finals of “Mathematics Without Borders”. All the films have been published on YouTube and preserve the atmosphere of the gatherings in Nessebar – the competitions, the award ceremonies, the children’s smiles, the music and those little moments that cannot be recorded in any official protocol.
Throughout all these years, Veselin Lazarov has invariably been behind the camera, while the photographic history of the tournament is the work of Marian Dimitrov.
The short versions of the films were created by Diana McCallum, Glen McCallum and Vergina Mateva, who brought together in just a few minutes the most characteristic moments and emotions from the Finals.
Thirteen Finals. Thirteen films. Thousands of photographs. One story that continues.
THEY BELIEVED IN THE TOURNAMENT
An idea cannot travel such a long road alone.
Over the years, “Mathematics Without Borders” has received support and prizes for its winners from the publishing houses Anubis, Bulvest 2000, Klett, Prosveta and Regalia 6, as well as from Bachkovo Spring Water, OMV, Musala Soft, SAP Bulgaria, Telenor, Bulgargaz and Ficosota Syntez.
Their support helped make each prize not only an award, but also a lasting memory of hard work, effort and success.
And, of course, behind the thirteen editions stand the teachers and school coordinators from Bulgaria and around the world – the people who devote their time, knowledge and energy so that the idea of “Mathematics Without Borders” can reach children.
Without them, the tournament would not have crossed so many borders.
MESSAGES TO THE PARTICIPANTS AND ORGANIZERS
Over the years, the tournament has received congratulatory addresses from prominent individuals and institutions whose messages have been directed above all to the young mathematicians.
Among them are the Presidents of the Republic of Bulgaria Rumen Radev and Iliana Iotova, UNESCO Director-General Irina Bokova, UNESCO Acting Assistant Director-General for Natural Sciences Abou Amani, H.E. Nargiz Gurbanova, Ambassador of Azerbaijan to Bulgaria, as well as Bulgaria’s Ministers of Education Todor Tanev, Meglena Kuneva, Krasimir Valchev and Galin Tsokov.
We regard these messages not simply as recognition of the organizers, but as recognition of the children and their teachers, who give meaning to the tournament.
WE ALSO HAVE LIKE-MINDED FRIENDS
Over the years, the guests and friends of the tournament have included Assoc. Prof. Rusi Rusev, Prof. Minko Balkanski, Prof. Atanas Stefanov, Prof. Maria Neykova, mathematics publisher Willie Yong from Singapore, Ni Ming from China, representatives of the Ministry of Education and Science, diplomats and many teachers from Bulgaria and around the world.
But a special place in the history of the Final belongs to the hosts – Nessebar Municipality and Lyuben Karavelov Secondary School.
People who, over the years, have not simply hosted the tournament, but have become part of it.
AND EVERY SUMMER – BACK TO NESSEBAR
There, the Mathematical Garden also awaits us, created in 2019 with rose bushes planted by the leaders of the participating teams. The tradition continues – in 2026, the planting of Singapore’s rose was also planned in the garden.
The roses grow.
The children grow up.
Some leave, while others arrive for the first time.
But every summer by the sea, different languages and different flags meet again, and mathematics brings them together.
And when the white doves fly over Nessebar, the winners hold the Bulgarian rose, the kaval tells its legends, and the song that humanity sent towards the stars is heard, the words “Mathematics Without Borders” come to mean much more than the name of a competition.
They mean knowledge, friendship, respect and peace.
In Nessebar – where the Earth is a red rose, summer and sea!

The Final at Grand Efe Hotel, Özdere, Türkiye is open to students who have successfully passed the qualification rounds,...
06/09/2026

The Final at Grand Efe Hotel, Özdere, Türkiye is open to students who have successfully passed the qualification rounds, as well as, by exception, medalists from the Individual Final of “Mathematics Without Borders” – Nessebar 2026.

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Във финала в Grand Efe Hotel, Йоздере, Турция участват учениците, преминали успешно квалификацията, както и, по изключение, медалистите от индивидуалния финал на турнира „Математика без граници“ – Несебър 2026.
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TÜRKÇE

Grand Efe Hotel, Özdere, Türkiye’de düzenlenecek finale eleme turlarını başarıyla geçen öğrenciler ile istisnai olarak “Sınır Tanımayan Matematik” – Nessebar 2026 Bireysel Finali’nde madalya kazanan öğrenciler katılabilir.

26/08/2026
🇹🇷 IN THE FOOTSTEPS OF THALES – İZMİR 2026 🇹🇷We are pleased to invite students from Grades 3 to 12 to the Ninth Internat...
20/08/2026

🇹🇷 IN THE FOOTSTEPS OF THALES – İZMİR 2026 🇹🇷

We are pleased to invite students from Grades 3 to 12 to the Ninth International Final of Mathematics Without Limits – “In the Footsteps of Thales”, to be held in İzmir, Türkiye, from 9 to 12 October 2026.

📐 10 October – Mathematics Competition at İTÜ Geliştirme Vakfı İzmir Okulları
🏆 11 October – Award Ceremony
🎓 International Student Project Competition dedicated to mathematics, science, history and culture
🏛️ Optional excursions to Ephesus and the House of the Virgin Mary, as well as a tour of İzmir

The mathematics competition consists of 7 problems in 60 minutes:
• 5 problems with open answers;
• 2 problems requiring a detailed solution and justification.

Up to 5 students from each school may participate directly. If more students wish to participate, the school may organize a qualifying round using problems provided by the organizers.

🥇 In each age group, the awards will include a Champion, two Runners-up and three Bronze Medalists. There will also be a team ranking for schools.

📅 Application deadline: 20 September 2026

📧 [email protected]
📧 [email protected]

We look forward to welcoming students from around the world to İzmir – and to following together in the footsteps of Thales!

🇹🇷 ПО СТЪПКИТЕ НА ТАЛЕС – ИЗМИР 2026 🇹🇷

От 9 до 12 октомври 2026 г. в Измир, Турция, ще се проведе Деветият международен финал на Mathematics Without Limits – „По стъпките на Талес“ за ученици от 3. до 12. клас.

📐 10 октомври – математическо състезание в İTÜ Geliştirme Vakfı İzmir Okulları
🏆 11 октомври – церемония по награждаването
🎓 Международен ученически конкурс за проекти, посветени на математиката, науката, историята и културата
🏛️ В програмата са предвидени и възможности за посещение на Ефес и Дома на Дева Мария, както и обиколка на Измир.

Състезанието включва 7 задачи за 60 минути – 5 задачи с кратък отговор и 2 задачи с подробно решение и обосновка.

До 5 ученици от едно училище могат да участват директно. При повече желаещи училището може да проведе квалификация по предоставени от организаторите задачи.

🥇 Във всяка възрастова група ще бъдат определени шампион, двама вицешампиони и трима бронзови медалисти. Предвидено е и отборно класиране на училищата.

📅 Краен срок за заявки: 20 септември 2026 г.

📧 [email protected]
📧 [email protected]

Очакваме ви в Измир – градът на Егейско море, откъдето ще тръгнем „По стъпките на Талес“!

TOURNAMENT TIME SCHEDULE MWB FINAL 2026July 317:00 – Autograph Session and Photo Opportunity with Willie Yong (Singapore...
30/06/2026

TOURNAMENT TIME SCHEDULE
MWB FINAL 2026

July 3
17:00 – Autograph Session and Photo Opportunity with Willie Yong (Singapore), publisher, author, and co-author of the “Doodles” book series.

July 4
08:30 Tournament opening ceremony - Lyuben Karavelov Secondary School, Nessebar – in the south school yard
Participants enter the school building 15 minutes before the start of the competition for their group, through the south yard, from Ivan Vazov Street – across from the Health Center, and exit through the north entrance, 1 Lyuben Karavelov Street.
09:00 – 10:00 – Individual Contest for G4 and G9
10:30 – 11:30 – Individual Contest for G2 and G6
12:00 – 13:00 – Individual Contest for G3 and G5
13:30 – 14:30 – Individual Contest for G1, G7 and G8

July 5
09:00 – 09:40 - Team Contest – (G1, G7 and G9)
10:00 – 10:40 - Team Contest – (G4 and G8)
11:00 – 11:40 - Team Contest – (G3 and G5)
12:00 – 12:40 - Team Contest – (G2 and G6)
15:00 – 16:30 - Lodovico Ferrari Tournament for solving Algebraic Equations and Puzzles
12:00 - Announcement of the answers to the questions for the individual competition and the points obtained by the competitors by the INDEX NUMBER on their certificate.

July 6
10:00 – Announcement of the results (points obtained) by TEAM NUMBER
10:00 - Announcement of the names of the winners of medals, cups and other trophies from the individual competition
15:00 - Announcement of the names of the winners from the team competition
20:00 - Awarding of the winners in the team contests and Lodovico Ferrari Tournament for solving algebraic equations and puzzles in the south school yard

July 7
9:00 - Award Ceremony on the stage of the Ancient Theatre in Old Nessebar:
Greetings from the participating countries; Awarding of the winners in the individual contest;
Awarding by the Mayor of the municipality of Nessebar; Announcement of the Math Stars of the Tournament – the most successful participant of each country; Presentation of a cup and a Bulgarian rose to the winners of the "Mathematics Without Borders" Tournament 2026.

07/03/2026

The sixth Ludovico Ferrari Tournament for Solving Algebraic Equations is approaching. We present to you the authors of the problems for the qualification round, scheduled for April 2026. One of them is the Italian colleague Carmelo Di Stefano — a mathematics teacher, author, and passionate promoter of mathematics. After graduating from the University of Catania in 1984, he dedicated his professional career to school education, mathematical creativity, and the search for elegant, clever, and original problems. For many years he taught mathematics and physics at the “Vittorini” scientific high school in Gela, becoming a well-known figure in the Italian community of mathematics teachers.

His work goes far beyond the classroom. Carmelo Di Stefano is a speaker at conferences and seminars, an organizer of events devoted to mathematical creativity, and the author of articles, educational materials, and books. In 2015, he was among the teachers recognized in the “Bruno de Finetti” competition of the Italian Mathematical Union, an acknowledgment of his active and inspiring work in mathematics education. He also maintains the educational website matdidattica.altervista.org, where he publishes problems, ideas, and teaching resources.

For the participants, we hope that encountering the problems of Carmelo Di Stefano will be both a real pleasure and an inspiring mathematical challenge.

Предстои шестият турнир по решаване на алгебрични уравнения „Лудовико Ферари“. Представяме Ви авторите на задачи за квалификационния кръг, предвиден за април 2026 г. Един от тях е италианският колега Carmelo Di Stefano — учител по математика, автор и ярък популяризатор на математиката. Завършил Университета в Катания през 1984 г., той посвещава професионалния си път на училището, на математическата креативност и на търсенето на красиви, умни и нестандартни задачи. Дълги години преподава математика и физика в лицея „Vittorini“ в Гела и се утвърждава като разпознаваемо име в италианската общност на учителите по математика.

Неговата дейност далеч надхвърля класната стая. Carmelo Di Stefano е лектор на конференции и семинари, организатор на събития, посветени на математическата креативност, автор на статии, учебни материали и книги. През 2015 г. е сред отличените в конкурса „Bruno de Finetti“ на Италианския математически съюз — признание за активна и вдъхновяваща работа в обучението по математика. Той поддържа и образователния сайт matdidattica.altervista.org, където публикува задачи, идеи и методически материали.

За участниците срещата със задачите на Carmelo Di Stefano, надяваме се, ще бъде истинско удоволствие и предизвикателство.
Предстоит шестой турнир по решению алгебраических уравнений «Лудовико Феррари». Представляем авторов задач для квалификационного тура, который запланирован на апрель 2026 года. Один из них — итальянский коллега Carmelo Di Stefano, учитель математики, автор и активный популяризатор математики. Окончив Катанийский университет в 1984 году, он посвятил свою профессиональную деятельность школе, математическому творчеству и поиску красивых, остроумных и оригинальных задач. На протяжении многих лет он преподавал математику и физику в научном лицее «Витторини» в Геле и стал хорошо известной фигурой в итальянском сообществе учителей математики.

Его деятельность выходит далеко за пределы классной комнаты. Carmelo Di Stefano выступает на конференциях и семинарах, организует мероприятия, посвящённые математическому творчеству, является автором статей, учебных материалов и книг. В 2015 году он был отмечен в конкурсе «Bruno de Finetti» Итальянского математического союза — признание его активной и вдохновляющей работы в области преподавания математики. Он также поддерживает образовательный сайт matdidattica.altervista.org, где публикует задачи, идеи и методические материалы.

Надеемся, что для участников встреча с задачами Carmelo Di Stefano станет настоящим удовольствием и увлекательным математическим вызовом.

01/02/2026

Dear Colleagues,

We would like to inform you that the international tournament Mathematics Without Limits – 2026 will begin according to the official schedule.

On 6 February 2026, we will send the following materials to all schools that have submitted a participation request:

competition problems;

answer sheet (template);

protocol form (Excel template);

answer keys;

instructions for conducting the qualification round.

The Qualification Round will take place during the period 7 February – 31 March 2026.

We will accept participation requests even after the beginning of the qualification period; however, the deadline for submitting the protocols remains 31 March 2026. The International Final will be held in early October 2026 in Izmir.

Participation requests should be sent to the following email addresses:
📧 [email protected]

📧 [email protected]

Sincerely,
Lyubomir Lyubenov
Mustafa Ozturk

Address

P. O. Box 288
Stara Zagora
6000

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