Discovering Frieze Patterns with Kali -- Answer Key

Discovering Frieze Patterns with Kali

Answer Key

No one is expected to get all answers correct. Be sure to discuss the answers with the students so that they understand why certain patterns can or cannot be made with a particular group.

Beginner's Exercises

Flags

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Traffic jam

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A row of:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A row of:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A row of:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A row of:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A row of:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A single letter:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Intermediate Exercises

Paper dolls

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A string of pearls

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A single triangle

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A horizontal ladder

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A vertical ladder

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Flowers in vases

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Light bulbs

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Advanced Exercises

The string of letters:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

The string of numbers:

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Rope

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Braid

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Aces of diamonds

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Aces of spades

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

A row of spades

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle     None

Pattern Gallery

X's

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle

Triangle Patterns

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle

Arabic

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle

2552

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle

Hands 'n' Feet

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle

Boatmen

 Hop           Spinhop       Jump          Sidle       
 Step          Spinjump      Spinsidle