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There once was a boy named Demetri. 

Demetri loved math and was in a 

secret organization called Y. Yet, in 

order to be a full member of the 

organization, one must be able to 

complete a mission. Demetri waited 

and waited for a mission to present 

itself, but it never did. 

Until one day, the leader of the group, 

Euclid, came to Demetri with wonderful 

news. “I have found you a mission,” he 

said. “I need you to go to the secret 

cave of Geos and retrieve the buried 

treasure. If you are able to 

successfully complete this mission, 

Demetri, you will be a full member of 

the organization Y.”

The following day, Demetri sets out 

for his journey. He travels to a far 

away land, the land of Calculations 

where the secret cave of Geos is 

located.   He goes up to the door, 

and tries to open it, but it is locked! 

He steps back in sorrow, not 

knowing what to do. 

A message suddenly appeared on the 

door. 

Demetri starts looking for a rock 

with four sides right away. After a 

short while, he finds one. It is in 

the shape of a quadrilateral!  

He takes the rock back to the door 

and tries to put it into the keyhole, 

but it won’t fit. Another message 

appears on the door.

Demetri tries to find a rock with 

four sides, and at least one set, but 

no more than two sets, of parallel 

lines. He looked around the cave and 

finally found one that looked like a 

rhombus. He grabbed it and went to 

place it in the keyhole.

Again, the key did not work and 

another message appeared on the 

door.

Demetri walked around the cave until 

he found another rock with   four 

sides, at least one set, but no more 

than two sets, of parallel lines, but 

this rock also had 90 degree angles. 

The rock looked like a rectangle, 

which was exactly what he was looking 

for, so he brought it back to the 

keyhole.

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