Telly Monster is a friend of mine who loves triangles (and puzzles). He has asked me to make him a wooden calendar using triangles for the months. Can you design 9 wooden triangles with a letter in each corner that when rotated or rearranged will spell out all of the months of the year.
For example:
-/J\---/U\---/L\---/Y\-
/? ?\ /? ?\ /? ?\ /? ?\
The first thing I had to realize was that the needed letters in their required numbers exhausted all 27 available slots, so no letter could be repeated more than the largest number of times it appeared in any one month:
JAANUURRYFEEEBMCHPILGSTOOVD
The nine-letter month starts us off with a necessary spread to identify tiles:
123456789
SEPTEMBER
Trial and error, making sure never to use more than the allotment for any given letter, starting with the -EMBER and -OBER months, gives:
123456789
SEPTEMBER
DOCVOJUYG
FANRAUHIL
JANUARY 6237598
FEBRUARY 12796548
MARCH 62437
APRIL 23489
MAY 628
JUNE 6732
JULY 6798
AUGUST 279614
SEPTEMBER 123456789
OCTOBER 2345789
NOVEMBER 32456789
DECEMBER 12356789
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Posted by Charlie
on 2013-08-06 13:59:23 |
Solution
