Tessellation Treasure Map

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Tessellation Treasure Map

Directions:

Ahoy matey! Captain Tessellation is guarding his treasure. He will only surrender to the most fearsome scallywag that sails the sea. Captain Tessellation claims that no pirate be fierce enough to complete this treasure map. Are you? Fill out each event and you may be the pirate who wins his booty. Good luck matey!  

Event 1: Answer the following questions

1.  What three rules must a regular tessellation follow?

 2.  How many degrees are at each vertex of a tessellation?

Event 2:  Take a screen shot (or print out and paste to this worksheet) the regular polygons that can be tessellated. Show more than just a few repeated shapes. Make it clear that you discovered the regular polygons that can be tessellated. 

Event 3: Answer the following questions

1.  What is a tessellation?

2.  Another word for tessellation is                                            

3.  What is a regular tessellation? Give an example.

 4.  What is a semi-regular tessellation? Give an example.

Event 4: Answer the following questions

1.  How many semi-regular tessellations are there? List them by their correct classification (i.e. 4.8.8).

2.  Explain why this image won't be a semi-regular tessellation?

3.   Explain why this image won't be a semi-regular tessellation?

Event 5: Name each of the semi-regular tessellations (i.e. 4.8.8)

Event 6: Take a screen shot (or print out and paste to this worksheet) at least two tessellations you made in Tessellation Town.

Event 7: Answer the following questions

1.    What is the difference between Alhambra style tessellation and Escher style tessellation?

2.    Were all of the Alhambra tessellation “true” tessellations? Explain why or why not.

3.    Who did the tilling/tessellations in the Alhambra?

4.    Where is the Alhambra located?

Event 8: How did M.C. Escher impact the “tessellation world”? Give examples.

Event 9: Using the formula (360/n) prove whether or not these shapes can be tessellated. Show all mathematical work.

1.    Triangle = 60°

2.    Square = 90°

3.    Pentagon = 108°

4.    Hexagon = 120°

Unlock The Code:

Ahoy there buccaneer! Looks like you are almost done with your treasure hunt. Unlock this secret code and you will be the first scallywag to find out where Captain Tessellations treasure is located. But remembarrrr Captain Tessellation be guarding his precious treasure and he will let no pirate pass unless they have the completed treasure map and the three keys.

Directions:

Unlock the secret code at the bottom of this page. Answer the following multiple-choice questions. Each question corresponds to a blank space in the riddle below. The first question corresponds with the first space. The second question corresponds with the second blank space, and so on. Place the letter to your answer in the corresponding space to unlock Captain Tessellation’s secret message.

1.  M.C Escher was born in

A.  1959

B.  1856

C.  1898

D.  2009

2.  A tessellation is

J.   a type of shape

K.  a mathematical equation 

L.  a repeated pattern with no gaps or overlaps

M.  none of the above

3.  How many semi-regular tessellations are there?

A.  8

B.  29

C.  5

D.  15

4.  Which regular polygon tessellates?

P.  Triangle

Q.  Square

R.  Hexagon

S.  All of the above

5.  Which of the following is NOT a semi-regular tessellation?

R.  3.3.3.3.6

S.  4.8.4

T.  3.3.3.4.4

U. 4.8.8

6.  Each vertices of a tessellation is exactly

R.  360°

S.  90°

T.  180°

U.  270°

7.  What famous 14th century palace is renowned for its incorporation of intricate tessellated patterns?

M.  Windsor Castle

N.  Castle Frankenstein

O.  The Alhambra

P.  none of the above

8.  What is a polygon?

O.  any two-dimensional, closed shape with three straight sides or more

P.  any two-dimensional, closed shape with four straight sides or more

Q.  any two-dimensional, closed shape with exactly four straight sides

R.  any three- dimensional, closed shape with three straight sides or more

9.  Which of the following would NOT be an example of a Tessellation?

L.  a honeycomb

M.  a rack of billiard balls

N.  a grid

O.  all of these are examples of tessellations

If the treasure is what you seek to find then you must also keep in mind. Without the map and the three keys Captain Tessellation will tell you to leave. Make sure that you have it all. If you try to trick him then you will fall. You’ll walk the plank you’ll lose your head so don’t think you can trick him instead. But if you have completed all of the tasks then this is what Captain Tessellation asks, “Come visit my home it is pretty cool. You can find me located at your school. If you be lying get ready to meet your doom. If your not then look inside your                                                              ."