Given the question: Information:  - Arsinoe I (305 BC-after c. 248 BC) was a Greek Princess who was of Macedonian and Thessalian descent. She was the second daughter and youngest child born to King Lysimachus from his first wife, Nicaea of Macedon. Arsinoe I had two older siblings: a brother called Agathocles and a sister called Eurydice.  - Agathocles ( Greek :  ; born between 320 -- 310s BC -- died 284 BC ) was a Greek Prince who was of Macedonian and Thessalian descent . He was the son born to Lysimachus from his first wife the Queen consort , Nicaea a daughter of the powerful regent Antipater . His full blooded siblings were his younger sisters : Eurydice and Arsinoe I. Agathocles was sent by his father against the Getae , about 292 BC , but was defeated and taken prisoner . He was kindly treated by Dromichaetes the king of the Getae , and sent back to his father with presents ; but Lysimachus , notwithstanding , marched against the Getae , and was taken prisoner himself . He too was also released by Dromichaetes , who received in consequence the daughter of Lysimachus in marriage . According to some authors it was only Agathocles and according to others only Lysimachus , who was taken prisoner . In 287 BC Agathocles was sent by his father against Demetrius I Poliorcetes , who had marched into Anatolia to deprive Lysimachus of Lydia and Caria . In this expedition he was successful ; he defeated Demetrius I and drove him out of his father 's provinces . Agathocles was destined to be the successor of Lysimachus , and was popular among his subjects . His stepmother Arsinoe II , prejudiced the mind of his father against him and after an unsuccessful attempt to poison him , Lysimachus cast him into prison and had him executed ( 284 BC ) . His maternal cousin - wife and now widow Lysandra with their children fled with Alexander ( Agathocles ' paternal half - brother ) to Seleucus I Nicator in Syria , who made war upon Lysimachus in consequence . Louis Robert has suggested that coins  of 300 BC belong to an Agathocleia city in Mysia founded by Agathocles .  - Brunei, officially the Nation of Brunei, the Abode of Peace (Jawi: ), is a sovereign state located on the north coast of the island of Borneo in Southeast Asia. Apart from its coastline with the South China Sea, the country is completely surrounded by the state of Sarawak, Malaysia. It is separated into two parts by the Sarawak district of Limbang. Brunei is the only sovereign state completely on the island of Borneo; the remainder of the island's territory is divided between the nations of Malaysia and Indonesia. Brunei's population was 408,786 in July 2012.  - A queen consort is the wife of a reigning king (or an empress consort in the case of an emperor). In Brunei, the wife of the Sultan is known as a "Raja Isteri" with prefix "Pengiran Anak", equivalent with queen consort in English, as were the consorts of tsars when Bulgaria was still a monarchy. A queen consort usually shares her husband's social rank and status. She holds the feminine equivalent of the king's monarchical titles, but historically, she does not share the king's political and military powers. A queen regnant is a queen in her own right with all the powers of a monarch, who (usually) has become queen by inheriting the throne upon the death of the previous monarch.  - Lysimachus (Greek: , "Lysimachos"; c. 360 BC  281 BC) was a Macedonian officer and diadochus (i.e. "successor") of Alexander the Great, who became a basileus ("King") in 306 BC, ruling Thrace, Asia Minor and Macedon.  - Alexander III of Macedon (20/21 July 356 BC  10/11 June 323 BC), commonly known as Alexander the Great ("Aléxandros ho Mégas" ), was a king ("basileus") of the Ancient Greek kingdom of Macedon and a member of the Argead dynasty. Born in Pella in 356 BC, Alexander succeeded his father, Philip II, to the throne at the age of twenty. He spent most of his ruling years on an unprecedented military campaign through Asia and northeast Africa, and by the age of thirty he had created one of the largest empires of the ancient world, stretching from Greece to northwestern India. He was undefeated in battle and is widely considered one of history's most successful military commanders.    What is the relationship between 'agathocles ' and 'nicaea of macedon'?
The answer is:
mother