Math Help Forum

Math Help Forum Feed Site Feed

Go Back   Math Help Forum > Pre-University Math Help > Geometry
Reply
 
Thread Tools Display Modes
  #1  
Old December 2nd, 2008, 11:22 PM
Newbie
 
Join Date: Dec 2008
Posts: 1
Country:
Thanks: 1
Thanked 0 Times in 0 Posts
Olorion is on a distinguished road
Default 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.











Please Help!!

Last edited by Olorion; December 2nd, 2008 at 11:41 PM. Reason: mistake
Reply With Quote
Advertisement
 
  #2  
Old December 3rd, 2008, 12:30 AM
CaptainBlack's Avatar
Grand Panjandrum
 
Join Date: Nov 2005
Location: South of England
Posts: 11,375
Country:
Thanks: 667
Thanked 3,618 Times in 2,915 Posts
CaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond repute
Default

Quote:
Originally Posted by Olorion View Post
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.











Please Help!!
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
__________________
Truth does not change because it is, or is not, believed by a majority of the people.

Giordano Bruno
Reply With Quote
The following users thank CaptainBlack for this useful post:
Donate to MHF
  #3  
Old December 3rd, 2008, 01:01 AM
earboth's Avatar
Super Member

 
Join Date: Jan 2006
Location: Germany
Posts: 4,182
Country:
Thanks: 177
Thanked 1,805 Times in 1,657 Posts
earboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant futureearboth has a brilliant future
Default

Quote:
Originally Posted by Olorion View Post
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.
Attached Thumbnails
geometry-kreisleiste1_waagerklein.jpg  geometry-kreisleiste2klein.jpg  geometry-meander_simplklein.jpg  geometry-meander_komplklein.jpg  
Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are Off
Refbacks are Off
Forum Jump


All times are GMT -7. The time now is 05:26 AM.


Powered by vBulletin® Version 3.7.3
Copyright ©2000 - 2009, Jelsoft Enterprises Ltd.
SEO by vBSEO 3.2.0 ©2008, Crawlability, Inc.
©2005 - 2009 Math Help Forum


Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.