Akamu Table
Adapted from "Compilation of Russian Olympiad problems between 1965 and 1975" by Vladimir
Belikov, Elena Muravenko, Alekseev Mikhail Egorovic
"Did you know that the Hawaiian language and the Maori language spoken by the Maori
people of
your country are related?" said Akamu, the tourist guide, to Tia, the tourist from New
Zealand,
who
was visiting Hawaii for the first time. "That's impossible!" exclaimed Tia. "The two
archipelagos are separated by 7500 km of water. How could two languages spoken in
islands so far
apart could be
similar?" Akamu smiled. "Well, it is not only these two languages. There are at least 30
other
languages spread
across the islands of the Pacific Ocean that evolved from the same common ancestor.
Linguists
call this
the Polynesian family of languages". He took out a piece of paper and wrote down the
words for
the
cardinal numbers (first, second, third etc.) in 5 Polynesian languages that he could
recall. He
handed it over to
Tia and said "You don't have to believe me; see it for yourself. How would a set of
unrelated
languages have so
similar words for the cardinal numbers?"
Tia looked at Akamu's table with utmost surprise (' and wh are specific consonants):
Language |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Hawaiian |
kahi |
lua |
(a) |
ha |
lima |
ono |
hiku |
walu |
(b) |
Maori |
tahi |
rua |
toru |
wha |
(c) |
ono |
whitu |
waru |
iwa |
Nuku Hiva |
tahi |
(d) |
to'u |
ha |
(e) |
ono |
(f) |
va'u |
(g) |
Rarotonga |
ta'i |
(h) |
(i) |
'a |
rima |
ono |
'itu |
varu |
iva |
Samoa |
tasi |
lua |
(j) |
(k) |
lima |
ono |
fitu |
(l) |
iva |
It was not hard to see the pattern. Akamu had forgotten some of the words — the gray
cells in the
table.
Tia could fill in the gaps simply by studying the pattern. She showed Akamu her guesses,
and
Akamu
exclaimed "Woah! You got everything right. When did you learn all these languages?"
"It's
actually
simple", said Tia.
Assignment 1 [Answer Booklet]: Guess the 12 missing words.
Assignment 2:Explain the rules that you used to convert
words from
one language to another. Here is one example rule (as well as a hint) for you: 'the
consonant
l
in Hawaiian is transformed to r in Maori.