smbelcas > notebook > projects > stockinette center of Y x I

Project info
stockinette center of Y x I
Y x I twist cowl by sarah-marie belcastro
Knitting
Needles & yarn
US 6 - 4.0 mm
South West Trading Company Karaoke
0.5 skeins = 54.5 yards (49.8 meters), 25 grams
Notes

This is an instantiation of an image on page 52 of Allen Hatcher’s Algebraic Topology. (You can download this
book for free.) Here’s how to construct it: Start with the Cartesian product Y × I. Now rotate one end by 1/3 and glue it to the other end. The resulting object has only one boundary and is not a manifold.

There is a companion project that attempts to instantiate the example on p. 52 of Hatcher, in which a disk is glued to along the boundary of the twisted/glued Y x I. It’s pictured in the last photo.

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Finished
May 15 2012
September 2012
 
About this pattern
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10 projects, in 35 queues
About this yarn
Karaoke
by South West Trading Company
Worsted
50% Wool, 50% Soy Silk
109 yards / 50 grams
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2582 projects

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  • Project created: May 16, 2012
  • Finished: October 1, 2012
  • Updated: November 13, 2012
  • Progress updates: 2 updates