Welcome to the Quilting Board!

Already a member? Login above
loginabove
OR
To post questions, help other quilters and reduce advertising (like the one on your left), join our quilting community. It's free!

Results 1 to 14 of 14

Thread: Backing: Why a Rectangle is bigger than a Square

  1. #1
    Senior Member
    Join Date
    Jun 2009
    Location
    Bright, Ontario, Canada
    Posts
    496

    Backing: Why a Rectangle is bigger than a Square

    Twists your minds but it makes sense!

    https://i.chzbgr.com/completestore/1...QjIGjVgaQ2.gif
    GrannyLady - Having too much fun dressing my grandaughters.

  2. #2
    Super Member auntpiggylpn's Avatar
    Join Date
    Jun 2011
    Location
    Michigan. . .FINALLY!!!!
    Posts
    6,913
    Blog Entries
    1
    Yes, it did twist my mind and No, it doesn't make sense to me!!!
    No one has ever become poor by giving. - Anne Frank
    Darkness cannot drive out darkness; only light can do that. Hate cannot drive out hate; only love can do that. - Martin Luther King, Jr.

    http://www.etsy.com/shop/TheQuiltedPig

  3. #3
    Super Member Ditter43's Avatar
    Join Date
    Jan 2007
    Location
    Crystal River Florida
    Posts
    9,770
    That is one of THOSE things!!!!!AArrrggg
    I quilt, therefore I am.

  4. #4
    Super Member Latrinka's Avatar
    Join Date
    Aug 2010
    Location
    Slidell, Louisiana
    Posts
    6,946
    Mind boggling!
    If a woman's work is never done....why start?

  5. #5
    Senior Member Rubesgirl's Avatar
    Join Date
    Jan 2012
    Location
    Tidewater Virginia
    Posts
    829
    I'm math challenged on my good days! This seems totally improbable. If you take the square and reposition the parts without adding on, it should be the same no matter what... right?
    Wendy in VA

    If I had a dollar for every time I got distracted I wish I had some ice cream.

  6. #6
    Moderator QuiltnNan's Avatar
    Join Date
    Mar 2011
    Location
    western NY formerly MN, FL, NC, SC
    Posts
    44,530
    Blog Entries
    45
    Quote Originally Posted by Rubesgirl View Post
    I'm math challenged on my good days! This seems totally improbable. If you take the square and reposition the parts without adding on, it should be the same no matter what... right?
    ditto. doesn't make sense to me either
    Nancy in western NY
    before you speak T.H.I.N.K.
    T is it True? H is it Helpful? I is it Inspiring? N is it Necessary? K is it Kind?


  7. #7
    Senior Member raynhamquilter's Avatar
    Join Date
    Nov 2009
    Location
    MA
    Posts
    653
    WHAT?! I don't understand it.
    raynhamquilter
    I hope you dance!

  8. #8
    Super Member mom-6's Avatar
    Join Date
    Feb 2010
    Location
    Texas
    Posts
    6,487
    Makes my brain hurt! LOL!
    legendarycandles.com
    Just discovered I qualify for FABLE (Fabric Acquired Beyond Life Expectancy)

  9. #9
    Super Member ptquilts's Avatar
    Join Date
    Jun 2010
    Location
    Vermont
    Posts
    6,068
    the solution, courtesy of Google (of course)

    actually these fit in the category of optical illusions

    In the first diagram, the red and blue triangle have different angles. W/o using trig, you can see the slope of the red triangle is portrayed as 2/5, while the blue triangle is portrayed as 3/8. In the picture with emboldened lines, the eye can't see the difference between .4 and .375, but it is there. If the angles were the same, the blue triangle would intersect halfway between the first 2 graph points, and in the second portion of that diagram, the blue shouldn't actually cover the 8 spaces spanned by the green and light blue figures. The hole comes from the fact that you cannot calculate the total area of the first triangle as (13*5)/2=32.5, because in actuality, keeping the angles to be the same, it's (12.5*5)/2=31.25. In the second picture, to keep the angles the same, you would have to add the areas because the blue wouldn't complete a triangle, so blue=7.5*3/2=11.25, green=8,lblue=7,red=2*5/2=5, total is magically 31.25

    The second diagram is the same principal, the angles that are being matched between the 2 symetrical orange pieces and the 2 symetrical green pieces don't match. Again, .375 vs .4, the unseen gap is what equates to the differing apparent areas.

  10. #10
    Super Member DogHouseMom's Avatar
    Join Date
    Jan 2011
    Location
    Knot Merrill, Southern Indiana
    Posts
    5,744
    PTQuilts - thanks for the "translation"

    I actually see it now ... look close at the red triangle and the green triangle - especially when matched to each other in the rectangle - and you will see that where the two meet to make a completed square of both red and green ... it's not a true square.
    May your stitches always be straight, your seams always lie flat, and your grain never be biased against you.

    Sue

  11. #11
    Super Member willferg's Avatar
    Join Date
    Aug 2010
    Location
    Northern California, Sonoma Co.
    Posts
    2,703
    I showed this to my daughter and asked her to figure it out for me. She cut it out in graph paper, cut the pieces, and then showed me how when she went to reassemble them, they didn't truly fit right, despite what the video clip shows. That accounted for the extra square. She said the slopes of the boxes didn't match and that's why they didn't fit together right.

    I wouldn't have thought to do that...
    People who start projects and never finish them are cooler
    than people who never start projects at all.


    http://quiltingquick.weebly.com/blog.html

  12. #12
    Junior Member
    Join Date
    Jan 2011
    Posts
    283
    I don't think I am smart enough to understand that.Oh well.

  13. #13
    Super Member caspharm's Avatar
    Join Date
    Jan 2011
    Location
    Nevada
    Posts
    6,963
    It looks similar to the way one quilt teacher ( John Flynn) was showing how to make a quilt backing by cutting the fabric at an angle and sliding it.

  14. #14
    Senior Member gmcsewer's Avatar
    Join Date
    Oct 2009
    Posts
    607
    Maybe this explains why our quilts don't always fit together like they should!

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  

SEO by vBSEO ©2011, Crawlability, Inc.