3-Dollar Umulius Rectangulum
Jul 1, 2009Public
Photo: The original 6-dollar Umulius on the left (two dollars per inter-locked rectangular ring) and the 3-dollar version on the right (one dollar per rectangular ring)
Photo: Behind the dollar Umulius's you can see some of my prototypes - a single plain-paper folded rectangular ring (from a dollar bill sized piece of paper), a small unfolded early prototype crease pattern, and an over-sized older prototype crease pattern.
Photo: Under the dollar Umulius's is a close-to-final print of my crease pattern. The blue outer markings are reference lines for using a ruler and scoring/embossing tool to score crease lines on the dollar bill for easier folding.
Photo: Cute little thing, isn't it?!
Photo: A shot from another angle.
Photo: And one more shot from another angle.
Photo: Screenshot of my crease pattern drawing. When printed from the original file, the black rectangle is exactly the dimensions of a U.S. dollar bill. The blue outer markings are straight-edge reference marks for hand-scoring a bill. I used Inkscape (http://inkscape.org/) to create the diagram.

When folded, the upper 2 and a half rows are extra paper and are rolled over onto each other and hidden inside the model, it's the bottom 5 rows that make up the main part of the model.

Refer to Jim Cowling's web page (http://erikdemaine.org/thok/umulig.html) to get an idea as to how my crease pattern is used for folding, as I used Jim's pattern as a guide for developing my pattern.
Photo: Screenshot of an updated version of my crease pattern. The image of a dollar is dropped behind the pattern to indicate paper orientation (will result in a model with green on the outside).

Blue outer marks are straight-edge reference marks for hand-scoring a bill using a ruler and scoring tool.

Pre-crease on all the black lines.

Yellow section is extra paper area to be hidden inside the model. The rows are folded/rolled down on top of each other, then folded down onto the top white row.

Green section is folded in to provide a slot/tab type mechanism for locking that end of the tube closed. What tube you ask? Bring the top white row (with the folded yellow mass) and bottom white row together and overlap them (the thicker mass goes on the outside). The result is a long, hollow, four-sided tube.

The four diamond-shaped areas are then collapsed to form the elbow corners in the tube. Tuck the shorter tube end section inside the longer tube end section to complete the hollow, square-tube, rectangular ring.
Photo: JPG version of my first diagram & instruction sheet. To get a PDF version that will print to proper scale, join the moneyfolders_unite Yahoo! group (http://groups.yahoo.com/group/moneyfolders_unite/)

Use the diagram in conjunction with my tutorial video, available in this photo gallery.
Video: