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hexie Forever Project - down the rabbit hole   General Discussion

Started 5/1/20 by Pirate (PIRATE_SR); 10952 views.
Pirate (PIRATE_SR)

From: Pirate (PIRATE_SR)

5/23/20

Suze (casuzenn) said:

I have a question about the rhombuses..

Actually, I had been thinking on that and after some research (that I should have done in the first place), I realized that I mis-identified the shape of the border pieces.

According to Wiki, a rhombus is In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.  Or, in visual terms:


This is obviously NOT the shape of the border pieces.  The border pieces have TWO parallel sides and the other two sides have mirror image angles.

Further research, which again, I do apologize for my initial sloppiness, shows that the border pieces are properly called trapezoids.  Trapezoids, i
n Euclidean geometry, are a convex quadrilateral with at least one pair of parallel sides is referred to (as a trapezium in English outside North America, but) as a trapezoid in American and Canadian English.  In visual terms:


The last trapezoid being the one that resembles the shape of the border (if you were to lengthen it).

As far as my photo in the original post, it *is* an optical illusion that the border pieces are different widths.  The side one was kinda "standing up" on its seam allowance (which is underneath).  In reality, the border pieces are the *same* width.  The lengths are different because they fit to different places on the triangle.

Now, the size of the width is kinda arbitrary.  It's what looks good to you and the effect that you want.  The wider the border pieces, the "fatter" the frame will be on the hollow cube.  There very well could be an ideal ratio between the size (i.e. height) of the triangle and the width of the border pieces, but I don't know what that ratio is.


In my samples, the height of the small triangle is 2" (from pointy tip to the base).  The width of the border pieces is 1/2".  There was nothing special about the 1/2"; it just looked good to my eyeballs.  Lynne came up with other widths that I think look nice also.  I believe that for her 3" triangle, her borders are 3/4"; for her 4" triangle, the borders are 1".  (if that's incorrect .. because I haven't looked back to whatever thread she posted the numbers in ... she can correct me.  :-)  )

So, the bottom line is the border pieces are correctly called trapezoids, not rhombus.  :-)   I have returned to the original post and corrected all instances of the incorrect name.

Pirate (PIRATE_SR) said:

I have returned to the original post and corrected all instances of the incorrect name.

Well I guess I better go back thru my posts and correct them too...............who knew that you would lead us astray!

Mishii

From: Mishii

5/23/20

Pirate (PIRATE_SR) said:

a rhombus is In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. 

::blink::

latterberry

From: latterberry

5/24/20

I see you got your question answered about the width of the trapezoid being consistent.  I think for my 3 inch triangle  I cut a 1.25 inch strip giving a 3/4 finished frame.  I also did not cut out trapezoids.  I just sewed a strip of my frame fabric on the side with a bit extending over the side. Then used my triangle ruler to trim it up.  Works for me anyway.

Suze (casuzenn)

From: Suze (casuzenn)

5/24/20

interesting!

Thanks for the explanation!

latterberry

From: latterberry

5/26/20

OK, Shelley.  First you lead me to the rabbit hole and then you open up the bag of chips (you know you can't eat/make just one).  I kept wanting to make another one just to play with the color combinations.  Then, I thought it would be fun to do black, gray, and white.  Then I spent some time on pintrest.  And that led me to this.  Blocks aren't sewn down yet--just sitting on the blue background fabric I will use.  I sure am having fun making these--thanks for enabling.

Pirate (PIRATE_SR)

From: Pirate (PIRATE_SR)

5/26/20

that is FANTASTIC!  WOOOOO HOOOOO!

The more I look at this block, the more possibilities occur to me.   Your gray/black/white + color Hollow Cubes look like Luminaries (without the cutouts).  They absolutely appear to be glowing from within. I don't think I would have jumped to making **just the triangles** one color ... but that is the secret to your glowing Hollow Cubes.  Wowsers!

Duly put on my list.  :-)

latterberry

From: latterberry

5/26/20

Thank you!  I knew those bright batik scraps would come in handy someday.

LABFIEND

From: LABFIEND

5/26/20

I love the dark around the edges!  Makes they look like lanterns!

But no, you haven't tempted me to go down the rabbit hole....yet!

Lynne your blocks look like they are glowing..........how cool!

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