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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1041.0. "8/6" by HERON::BUCHANAN (Andrew @vbo/dtn8285805/ARES,HERON) Mon Mar 20 1989 14:59

	 One of those farmer_with_a_field_dying_and_leaving_several_bene-
ficiaries_with_equal_claim_on_his_property puzzles, but it's a good one.
The details:

	Shape of field: octagon ABCDEFGH.   Angles A and E are 108�, the
other angles are 144�.

	Number of sons: 6

	Requirements: each son gets a field of equal shape and size.   Define
the boundaries, using only a ruler.   (This last restriction also means that
we can describe to one another how to solve the puzzle without heavy graphics
bandwidth.

Andrew.
T.RTitleUserPersonal
Name
DateLines
1041.1Darts and diamonds?NIZIAK::YARBROUGHI PREFER PITue Mar 21 1989 09:507
I haven't figured out the exact layout yet but it looks like a part of a
Penrose tiling made up of combinations of quadrilaterals with angles
{36, 144, 36, 144} (with unit sides) and triangles {36, 36, 108} with the 
shorter sides units. These combine into larger quadrilaterals with angles
{36, 72, 36, 216}, {72, 108, 72, 108}, and {72, 72, 72, 144}. 

Lynn Yarbrough