seamless

1142: Daniel Brown’s Seamless Chessboards

| wonko

Having folded Steven Casey’s 8×8 40 grid seamless chessboard and singularly failing to fold Marc Kirschembaum’s 40 grid because of crease-creep inaccuracies, I was approached by Daniel Brown and asked if I was interested in his chessboards – naturally I jumped at the chance. “Seamless” chessboards are deliciously more complicated because it required each square to be represented by an un-broken surface (as opposed to being able to be comprised of bits and pieces of layers – a much easier path):

A "clusterfuck" of seamless chessboards
A “clusterfuck” of seamless chessboards

I say CHESSBOARDS because Daniel has developed a series of coloured/white alternate seamless models of LOTS of sizes, and the skills necessary to migrate edge paper towards the centre to effect colour changes is a thing that needs some work and, often, particular “widgets” (or self-contained localised fold structures).

I started with the 4×4, rather efficiently designed on a 9×9 grid ( 0.444 efficiency). I had a piece of blue-white kami, so gave it a whirl. Even dimensions require different approaches for adjacent corners as they are different colours – the same colour corner exists on the diagonal.

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1135: Steven Casey’s Seamless Chessboard

| wonko

Colour-change models are astonishing to me, designing models that use colour change are something special:

I have folded a number of different models like this, nothing quite like it however – what sets this model apart form any other is that each “tile” on the board is a seamless square.

Folding this from a SINGLE UNCUT square ends up being a bit of a brain-fuck. The paper was blue one side, white the other (actually cheap and nasty 70cm wrapping paper from my local dollar store). Distributing the “colour” is achieved, mostly, by bringing the sheet edges up through pleat bundles using a variety of techniques.

You can see the final location of the 4 corners of the original sheet in this development photo:

Planning/designing of a model like this is beyond me – pre-preparing the colour changes means that every bit of the paper has a job – either visible “tile”, spacer, flipper, mover etc to get the bits of colour to get where they need to go. Fold accuracy is the make or break of such designs – novices who use a “near enough is good enough” approach will not succeed here.

I was asked to test fold this, by Steven Casey, prior to publication. The diagrammed sequence is intense, starting with a 40×40 grid. Most of the folding is working on the wrong side, creating interacting pleat stacks that sit flat but that strategically manipulation pleat order. The run towards the “checkerboard” effect happens around the edges first, they they are migrated further towards the centre (although really only in a 4-unit strip around the periphery.

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