triangular origami box by thoki yenn

7/2/13 1:32 PMTriangular Box

Page 1 of 4http://erikdemaine.org/thok/tribox.html

[These pages were authored by the late Thoki Yenn, and were restored here from the Internet Archive by Erik Demaine, withcontributions of missing files from various readers (notably Tommy Stevens, Roberto Morassi, and Boaz Shuval). If you spot anyother bugs like missing images or pages, please report them.]

TRIANGULAR BOX

This triangular box is actuallyvery easy to fold, but Thok hashad great difficulties in explaininghow to do it.

Vincente Palacios of Spain madea very clear diagram, and on thebasis of that Thok has made anew attempt to make a diagram.

First it has to be made clear thatthe proportion between the paperformat for the Lid and that forthe Box can both be found on thesame silver rectangle, as shown onthe drawings to the left.

In the last drawing I have left thehelping lines for drawing thecrease lines dividing the paper inthirds, and that gives me a greatopportunity to tell you about TheThok Trisection Theorem: theTTTT:

"A Diagonal in a rectangle istrisected by a diagonal in the halfRectangle. "

The story about how this cameabout will be told on theGeometry Cloud, in the nearfuture..

Here on the left is shown theactual proportion between theformats of the Lid and the Box.

It is clearly visible that thetriangles on the Lid part are justa fraction larger than those in the



Box part.

This gives the Lid a perfect fit onthe box, without you having tocalculate the sizes of the papers.

This was not calculated I was justtrying to use only one sheet of A4.

If you have made the creasessharp and precise valley andmountain folds as indicated, thebox will practically fold itself.Have fun.

1) Fold in half and then half thetop half. put a crease halving thelower half only at one end of thepaper. No scars on the bottom.

2) Form 60 by putting thecorner to the crease.

3) Copy the 60 makingequilateral triangles. Put increases from the top of thetriangles. Mountain fold adiagonal in no. 2 top section fromthe right.

4) Fold down 2 sections, at the



same time mountain fold thediagonal as shown in 5. This willforce the paper to become slightly3D.

5) Swing in left side. Folding lefttriangle with the arrow on to itsneighbor as in 6.

6) Fold the swung part in two andfold it up against the left wall asin 7.

7) Swing in the right section andkeep the half triangle at the endup against the wall as in 8.

8) Push the inner lining downstarting at the diagonal.

9) No explanation neededhere.Lid is complete.

The Box is folded in the sameway, but here you don't fold theswinging part in two, just put itup against the side wall, andcomplete the Box as you did theLid. It has a perfect fit.

This Box was made in 1993 anddedicated to Elsje van der Ploegof Holland, the diagram was firstmade in Jan. 1994.

Fold six small triangular Boxes from a silver rectanglequartered, which means if Hexbox is folded from an A4



the smaller triboxes are folded from A6. These six boxeswill fit exactly inside the Fujimoto hexagonal Box.

updated 28. Mar. 1999 Back to Origami

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triangular origami box by thoki yenn

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