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Abstract

acent gaps to stitch:</p><figure id="47a8"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*NGOfbLDgWEwl6wbAm9VczQ.jpeg"><figcaption>Order of Gaps to Stitch on a Seamed Mobius Twist. The blue dots show gaps. (Photo by Author)</figcaption></figure><p id="b211">Two variations of a Cook Twist use all four edges of a strip as a twisted ring.</p><p id="3d5f">The simple Cook Twist, below, connects front-face kitty corners, and back-face, at the other kitty corners:</p><figure id="4101"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*emrAfW3I7ryajz4F9whflw.jpeg"><figcaption>A Simple Cook Twist once the corners are connected, A to B and C to D (Photo Property of Author)</figcaption></figure><p id="8ad2">The third option below uses a twist to connect A and B, while C and D connect behind without a twist:</p><figure id="b060"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*EirxKyPtrETm23l0hfwiUw.jpeg"><figcaption>A Complex Cook Twist , once the corners are connected A to B and C to D (Photo Property of Author)</figcaption></figure><p id="de49">Here is the order to stitch into the next adjacent gap along a Simple Cook Twist: ( Also applies to a complex Cook Twist)</p><figure i

Options

d="0304"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*Bokan-csLzjW3lfAmlqNGA.jpeg"><figcaption>Blue Dots show Gaps. Order of Stitches into Gaps to Grow-On a Cook Twist (Photo Property of Author)</figcaption></figure><p id="71d6">If you use the three sides of the crochet chain, you can grow-on a Mobius Twist, without using a seam:</p><figure id="4afe"><img src="https://cdn-images-1.readmedium.com/v2/resize:fit:800/1*qUojn_hdwu3U8vntX6MP9w.jpeg"><figcaption>A Mobius Twist Map, Using Three Sides of the Chain, without using a Seam. Green dots show gaps. (Photo Property of Author)</figcaption></figure><div id="0463" class="link-block"> <a href="https://readmedium.com/the-mobicorikon-understanding-quantum-physics-through-crocheting-topological-objects-68a3c3726ca9"> <div> <div> <h2>The Mobicorikon</h2> <div><h3>Introduction</h3></div> <div><p>medium.com</p></div> </div> <div> <div style="background-image: url(https://miro.readmedium.com/v2/resize:fit:320/1*lm8pMuVYA8SR6u7rEYhkgw.jpeg)"></div> </div> </div> </a> </div></article></body>

Three kinds of Crocheted Twists: Mobius and Cook Twists

Defined on paper, by how their corners connect, and using dots to represent gaps

Mobius Twist Strip, and the Two Variations of Cook Twists Squares, on right, once the corners are connected, A to B and C to D ( Photo Property of Author)

A Mobius Twist strip traditionally uses a separate seam to join the two short ends, and that seam is not part of the continuous edge. (Though my method of crochet grows Mobius Twists from a chain, and does without a separate seam, see below at very bottom).

The Mobius twist strip below connects back face kitty corners, through a 180 degree twist, to front face kitty corners:

A Mobius Twist, once the corners are connected A to B, and C to D (Photo Property of Author)

If you grow it on around its one continuous edge, the blue dots show the order of adjacent gaps to stitch:

Order of Gaps to Stitch on a Seamed Mobius Twist. The blue dots show gaps. (Photo by Author)

Two variations of a Cook Twist use all four edges of a strip as a twisted ring.

The simple Cook Twist, below, connects front-face kitty corners, and back-face, at the other kitty corners:

A Simple Cook Twist once the corners are connected, A to B and C to D (Photo Property of Author)

The third option below uses a twist to connect A and B, while C and D connect behind without a twist:

A Complex Cook Twist , once the corners are connected A to B and C to D (Photo Property of Author)

Here is the order to stitch into the next adjacent gap along a Simple Cook Twist: ( Also applies to a complex Cook Twist)

Blue Dots show Gaps. Order of Stitches into Gaps to Grow-On a Cook Twist (Photo Property of Author)

If you use the three sides of the crochet chain, you can grow-on a Mobius Twist, without using a seam:

A Mobius Twist Map, Using Three Sides of the Chain, without using a Seam. Green dots show gaps. (Photo Property of Author)

The Mobicorikon

Introduction

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