1. ## geometry

Mere plans to redecorate her lounge. She wants to paint the walls one colour and then paint a
frieze (border pattern) from the top and the bottom of the walls

l-------------------------------------l
l l
l~~~~~~~~~~~~~~~~~~~~l
l l
l l
l~~~~~~~~~~~~~~~~~~~~l
l l
l-------------------------------------l

The frieze are the squiggly lines( sorry there is no right hand side frame, hence the extra l on the left)

Accurately construct a suitable frieze for Mere to use on her walls.
You must use at least 2 different types of constructions in your design and the frieze must have
at least 2 different types of transformations.
Leave any construction marks on your drawing.

2. Describe accurately the constructions and transformations you have used in designing the frieze.

3. Write a set of instructions, describing in detail, how to draw the frieze. You must use correct
mathematical language.

2. Originally Posted by Olorion
Mere plans to redecorate her lounge. She wants to paint the walls one colour and then paint a
frieze (border pattern) from the top and the bottom of the walls

l-------------------------------------l
l l
l~~~~~~~~~~~~~~~~~~~~l
l l
l l
l~~~~~~~~~~~~~~~~~~~~l
l l
l-------------------------------------l

The frieze are the squiggly lines( sorry there is no right hand side frame, hence the extra l on the left)

Accurately construct a suitable frieze for Mere to use on her walls.
You must use at least 2 different types of constructions in your design and the frieze must have
at least 2 different types of transformations.
Leave any construction marks on your drawing.

2. Describe accurately the constructions and transformations you have used in designing the frieze.

3. Write a set of instructions, describing in detail, how to draw the frieze. You must use correct
mathematical language.

Use a basic element composed of a triangle and circle. You will then use translations to move the pattern one step to the right, and rotations so each translated copy differes from its neighbours. You will need to complete the detail yourself and make sure that the translations and rotations produce a suitable pattern.

(You can use something other than circles and triangles, that is up to you)

CB

3. Originally Posted by Olorion
Mere plans to redecorate her lounge. She wants to paint the walls one colour and then paint a
frieze (border pattern) from the top and the bottom of the walls

l-------------------------------------l
l.............................................l
l~~~~~~~~~~~~~~~~~~~~l
l.............................................l
l l
l~~~~~~~~~~~~~~~~~~~~l
l l
l-------------------------------------l

...
I don't know what you need exactly. I've attached some "friezes" which I used as preliminary exercises in constructing with compass and straight edge.

You easily will detect the translations, reflections about a line or a point.