Monday, March 24, 2008

Hexagon Star Twist Box: Variations

I have been preparing diagrams and sample foldings for a forthcoming publication.

In the process I reworked one of my hexagon designs for a Star Twist Box (the white box with the copper star in the center which is shown far left) and came up with some variations (the brown and white boxes shown on the right).

The crease pattern does both of the boxes shown on the right. One is put together by tucking the top sections under the adjoining left section and the other is put together by tucking the top sections under the adjoining right section.

The CP shows shading for the version on the far right - the box with the raised center section. Mate the colored sections with the corresponding color. Pale yellow sections indicate the that the mating surface is on the other (back) side. Mate the bright yellow parts with the underside of the pale yellow sections.

Modular Vase: Part 3

The middle section of the modular vase has been folded. It has been connected in a circle but not connected to the base yet. There are some logistical problems with doing this.

I have decided to fold the top section pieces first. Then I will undo the base and middle groupings and re-connect the three pieces vertically before trying to connectthem all horizontally.

This may work better. OTOH, this will make construction of the floor difficult as it is slotted together from the top, not from the bottom. I may not be able to reach inside to put the last section together.

I think I am in for a frustrating time until I figure this puzzle out.

Monday, March 10, 2008

The Modular Vase: Part 2

After a labor intensive foray into non-origami-related areas, I am returning to the Obsession.

This morning I completed the Crease Pattern for the eight unit base section of the Modular Vase. Here it is.

Each section is 3n wide x 2n high and most usefully divided into 12 columns by 8 columns. A parsimonious folding sequence does not, however, require that all these columns be creased. First fold all the binary-based creases. Next use my Division Helper to make a vertical crease at two-thirds of the width. All the other third-based creases can be found from this one in combination with foldings using the binary-based creases.

The thin lighter-shaded lines are those which are required to find other lines or are used in the creasing or folding process. The alternating red-and-blue lines change direction during the process.

Yesterday I spent all day making Step Foldings for this base. There are 30 of them, which will give you an idea of the work I will need to put into converting these into standard format diagrams. Hint: LOTS. Needless to say, you won' t be seeing these tomorrow.

Today I intend to spend some time working on the eight unit middle section.