"A kaleidocycle is a closed chain of tetrahedra that can cycle endlessly through a center hole.”
Best known for his strangely realistic depictions of things that defy the laws of physics, Maurits Cornelis Escher became interested in problems of repetition and symmetry after traveling to the Alhambra, a 14th century Moorish castle in Granada, Spain.
Fascinated by the periodic (i.e. regularly recurrent) designs of the castle's mosaics, he began to pursue the idea that a plane can be divided into uniform, interlocking figures, forming a pattern that repeats itself at set intervals, theoretically to infinity.
Your are going to download, enlarge and print out the templates. thicker paper recommended.
Cut one out, then construct a kaleidocycle using the instructions from the files on the cache page.
Once you construct the kaleidocycle, follow the coordinate instructions to fold it in and out to obtain the coordinates to the cache.
*Be advised, you may need the kaleidocycle when you get to the cache.
Instructions for folding the Kaleidocycle to obtain the cache coordinates: For North coordinates:
After constructing the kaleidocycle, fold unit until the “N” is facing away from you and at the top or “North” position, as noted in illustration labeled with the “N” and two dots and “Step 1a” on it.
(You may have to turn the object over and fold a few times to get it this position.).
Step 1: Turn inside out by folding the unit from the back and folding up towards you, one time/cycle. Do not move or rotate the object. Keep it in it’s relative position.
Step 1a: Read the second number going counterclockwise from where the “N” was. This is “?”.
Step 2: Repeat step one.
Step 2a: Read the second number going counterclockwise from where the number for “?” was. This is “!”.
Step 3: Repeat step one.
Step 3a: Read the second number going counterclockwise from where the number for “!” was. This is “$”.
For West coordinates: Fold the unit until the “E” and the one dot is in the position, as noted in illustration labeled with the “E” and one dot and “Step 4a” on it.
Step 4: Turn inside out by folding the unit from the top and folding down away from you, one time/cycle. Do not move or rotate the object. Keep it in it’s relative position.
Step 4a: Read the number opposite from where the “E” was. This is “%”.
Step 5: Repeat step four.
Step 5a: Read the next number clockwise from the position where “%” was. This is “<”.
Step 6: Repeat step four.
Step 6a: Read the next number clockwise from the position where “<” was. This is “^”.
Attached files, include:
Kaleidoscope Templates (Two in case you need to make another)
Kaleidoscope Construction
Coordinate Instructions
CHECKSUM: ?+!+$+%+<+^=XY, X+Y=11
You can check your answers for this puzzle on GeoChecker.com.
FTF HONORS GO TO spink167!!!