The Lebombo Bone: The Oldest Mathematical Artifact in the World

Lebombo bone_2
The Lebombo bone

Have you ever heard of the Lebombo Bone? It is even older than the Ishango bone. It is indeed the oldest known mathematical artifact in the world. Discovered in the 1970s in Border Cave, a rock shelter on the western scarp of the Lebombo Mountains in an area near the border of South Africa and Swaziland (now Eswatini). The bone was found on the Eswatini side, and dates from 35,000 BC. It consists of 29 distinct notches that were deliberately cut into a baboon’s fibula.

The bone is between 44,200 and 43,000 years old, according to 24 radiocarbon datings. This is far older than the Ishango bone with which it is sometimes confused. Other notched bones are 80,000 years old but it is unclear if the notches are merely decorative or if they bear a functional meaning.

According to The Universal Book of Mathematics, the Lebombo bone’s 29 notchesmay have been used as a lunar phase counter, in which case African women may have been the first mathematicians, because keeping track of menstrual cycles requires a lunar calendar.” However, the bone is clearly broken at one end, so the 29 notches may or may not be a minimum number. In the cases of other notched bones since found globally, there has been no consistent notch tally, many being in the 1–10 range. The Lebombo bone resembles a calendar used by the early men of the area, coming from the San clans of Namibia; this way of making tallies is still used by the San people today.

 

Lebombo Ishango bones
Top image: Lebombo bone. Bottom: Ishango bone with prime numbers engraving (J.D. Loreto and D.H. Hurlbert Smithsonian)

According to The Universal Book of Mathematics, the Lebombo bone’s 29 notches “may have been used as a lunar phase counter, in which case African women may have been the first mathematicians, because keeping track of menstrual cycles requires a lunar calendar.” However, the bone is clearly broken at one end, so the 29 notches may or may not be a minimum number. In the cases of other notched bones since found globally, there has been no consistent notch tally, many being in the 1–10 range. This resembles a calendar used by the early men of the area, coming from the San clans of Namibia. These represent the earliest unambiguous evidence for modern human behavior. An article in the Proceedings of the National Academy of Sciences (PNAS) on recent archaeological discoveries, “Early evidence of San material culture represented by organic artifacts from Border Cave, South Africa” , has shown that bone tools were already present 75,000 years ago and were used in San culture.

To anyone who ever doubted it, Africa is indeed the cradle of humanity… and women (if it is indeed a lunar tool) were quite advanced mathematicians 35,000 years ago, using calculators to make lunar calendars!

 

Who/What did We Say Goodbye to in Africa in 2018?

In the year 2018, we said goodbye to some people, some events, and some things.  Here are 10 of those:

  1. Winnie Mandela_5
    Winnie Madikizela Mandela

    Winnie Madikizela-Mandela the Great: the Mother of the Nation, and a Warrior like No Other! Everyone celebrates Nelson Mandela, but everybody forgets that without Winnie Mandela, there would have been no Nelson. While he was in jail, she carried on the battle, carried his name high, and carried the nation: Strong African Women and History Amnesia, Patriarchy, Sexism, and Racism: the Case of Winnie Mandela. Below is the strong and powerful eulogy given by Julius Malema,  for an exceptional woman.

  2. The trumpetist Hugh Masekela… no more “Strawberries” for me… but I still love dancing to the sound of the “The Boy is doing it!“. His genius, spirit and music remain with us. So Long to Africa’s Jazz Maestro: Hugh Masekela
  3. Hugh Masekela4
    Hugh Masekela

    Kofi Annan , the previous UN Secretary-General passed away, and was buried in Ghana.

  4.  We said bye-bye to division between Eritrea and Ethiopia, as peace treaties were signed:  Peace at last between the 2 sisters Eritrea and Ethiopia.
  5.  We said goodbye to the name ‘Swaziland‘ for the country Swaziland, and welcomed Eswatini, officially known as the Kingdom of Eswatini.
  6. The world said goodbye to Aretha Franklin, the African American singer, who reveled us with ‘I say a little prayer for you‘, ‘Respect‘, and so many other hit tubes.
  7. Aretha Franklin
    Aretha Franklin

    We also said goodbye to Joseph Kadji Defosso, the great Cameroonian business magnate head of a conglomerate of companies, creator of the Kadji Sport Academy from which world-renowned football player Samuel Eto’o, and others like Idriss Carlos KameniNicolas Nkoulou and Benjamin Moukandjo came out of. Kadji was 95 years old.

  8. The statue of ‘racist’ Gandhi was removed from the University of Ghana campus. It is important to have our own African heroes represented on our campuses and  textbooks.
  9. Over 200 people lost their lives when a ferry capsized on Lake Victoria, in Tanzania. This marked the second-most deadliest ferry disaster in Tanzania.
  10. This was the last world cup for the Egyptian Goalkeeper Essam El-Hadary, who at 45 was the oldest player at the World cup. And lastly, the African Teams at the 2018 FIFA World Cup performed poorly. We wish for a better one next time.

Why the Name: Mbabane?

Mbabane1
Flag of Swaziland

Have you ever wondered about the meaning of Mbabane, the name of the capital of Swaziland? Have you ever wondered what the local people called their land, before the arrival of European settlers?  Well, I have. It sounds so off, to be called Swaziland, or the land of the Swazi people. Very often in world history, it seems as if a place or people gets its name from foreigners, rather than the indigenous people, i.e how could a place be called Léopoldville (Kinshasa), when the locals do not call it? How could a place be called Cote d’Ivoire? Was there not a local name for that area? After digressing a bit, I wondered about the name Swaziland, or the land of the Swazi people. How do the Swazi know themselves? Or how do they call their land? How do they call their capital?

Swaziland_king-mswati-iii
King Mswati III of Swaziland (Source: News24.com)

The city of Mbabane gets its name from a local king, Mbabane Kunene, who lived in the region when the British colonizers first arrived there.  It is the capital of Swaziland, and the country’s largest city. It is located on the Mbabane River and its tributary the Polinjane River in the Mdzimba Mountains. It is located in the Hhohho Region, of which it is also the capital. The average elevation of the city is 1243 meters. Swaziland is a monarchy headed by King Mswati III, who was crowned King on 25 April 1986 and Ingwenyama of Swaziland. He reigns with his mother, Queen Mother Ntfombi Tfwala, the Ndlovukati and Joint Head of State of Swaziland since 1986. The country, Swaziland, gets its name from King Mswati II who helped expand and unify the area in the 19th-century.  Today, most people belong to the Swazi tribe, and the country is also known as kaNgwane, after King Ngwane III.

Whenever you find your way in Swaziland, do not forget to visit Mbabane, King Mswati III’s capital, and enjoy Swazi culture.