Download Twelve Days Of Christmas

On the twelfth day of Christmas my
true love sent to me: 12 drummers
drumming, 11 pipers piping,10 lords a
leaping, 9 ladies dancing, 8 maids a
milking, 7 swans a swimming, 6 geese
a laying, 5 gold rings, 4 calling birds,
3 French hens, 2 turtle doves and a
partridge in a pear tree.
Day Number Number of Presents
1
2
3
4
5
6
7
8
9
10
11
12
Running Total
Day Number
Number of Presents
Running Total
1
1
1
2
3
4
3
6
10
4
10
20
5
15
35
6
21
56
7
28
84
8
36
120
9
45
165
10
55
220
11
66
286
12
78
364
The numbers of new gifts given on the
consecutive days
The combined gifts given on the
consecutive days
The cumulative total number of gifts given
Pascal’s triangle
is called after
the French
mathematician,
and physicist
Blaise Pascal
(1623 – 1662)
Although Pascal’s Triangle is named after the
seventeenth century mathematician, Blaise
Pascal, several other mathematicians knew
about the triangle hundreds of years before
his birth in 1623. The triangle appears to
have been discovered independently by both
the Persians and the Chinese during the
eleventh century.
The title of this diagram
is “The Old Method
Chart of the Seven
Multiplying Squares“. It
is from the front of Chu
Shi-Chieh's book "Ssu
Yuan Yü Chien"
(Precious Mirror of the
Four Elements), written
in 1303. In the book it
says that the triangle
was known about more
than two centuries
before that.
It is thought that
the Persian
mathematician and
poet
Ghiyāth ad-Dīn
Abul-Fat'h Umar
ibn Ibrāhīm
Khayyām
Neyshābūri knew
about this special
triangle. He is
better known as
Omar Khayyam
(1048 – 1122)
France
Persia
now
Iran
China