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Crochet and Hyperbolic Geometry

Interesting topic. These three books might be worth buying. The concept combines crochet, math, art, and nature.

https://en.wikipedia.org/wiki/Hyperbolic_geometry

Crocheting Adventures with Hyperbolic Planes http://www.amazon.com/Crocheting-Adventures-Hyperbolic-Planes-Taimina/dp/1568814526

https://en.wikipedia.org/wiki/Daina_Taimina

Taimina's way of exploring hyperbolic space via crochet and connections with nature, combatting math phobia ...

Crocheting Hyperbolic Planes: Daina Taimiņa at TEDxRiga
https://www.youtube.com/watch?v=w1TBZhd-sN0

https://mathandfiber.wordpress.com/2012/03/19/introduction-to-crocheting-hyperbolic-planes/

https://en.wikipedia.org/wiki/Mathematics_and_fiber_arts

http://www.amazon.com/Field-Guide-Hyperbolic-Space-Intersection/dp/0977962210

http://www.ted.com/speakers/margaret_wertheim

http://www.ted.com/talks/margaret_wertheim_crochets_the_coral_reef

http://www.theiff.org/

https://www.guernicamag.com/interviews/at-home-in-the-universe/

http://www.amazon.com/gp/product/0977962237/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0977962237&linkCode=as2&tag=gueamagofarta-20&linkId=UX25KXU2JZFO4IQ2

http://crochetcoralreef.org/index.php

http://crochetcoralreef.org/order-crochet-coral-reef-book.php

http://www.math.cornell.edu/~henderson/books/eg00/

http://theiff.org/press/interweave.html

http://theiff.org/oexhibits/oe1.html

How to Crochet Hyperbolic Shapes
https://www.youtube.com/watch?v=iz3t7YrCjxM

The Complete Hyperbolic Crochet Video - Pseudosphere
https://www.youtube.com/watch?v=EZ2Fw-mS8c0

YouTube: Hyperbolic Geometry within the dynamics of space and time

http://proactive-art.org/post/26377191103/hyperbolic-crochet-coral-reef

http://www.cabinetmagazine.org/issues/16/crocheting.php

http://math.stackexchange.com/questions/93765/what-are-the-interesting-applications-of-hyperbolic-geometry

http://www.math.cornell.edu/~dwh/papers/crochet/crochet.html

http://www.mnh.si.edu/exhibits/hreef/

http://hyperbolic-crochet.blogspot.com/2011/05/geometric-manifolds-for-hyperbolic.html

http://www.d.umn.edu/cs/thesis/kedar_bhumkar_ms.pdf

http://asymptotia.com/2007/01/01/hooking-up-manifolds/

http://asymptotia.com/2006/09/21/go-figure/

http://homepage.ntlworld.com/crispin.roche/klein.txt ????????

http://members.tripod.com/professor_tom/hyperbolic/

http://hyperbolic-crochet.blogspot.com/2015/01/my-fiber-year-2014.html

http://www.cooperhewitt.org/2013/03/13/learning-by-crocheting/

http://blog.ted.com/crocheting_in_h/

  • euclidean space
    • a point
    • a line
    • parallel line: one line can run through the point and never touch the other line
  • spherical space
    • within a circle
    • a point
    • a straight line (curved on a sphere)
    • how many straight lines can be drawn through the point that never meet the original line. answer = 0.
    • on a sphere, the straight line (geodesic) is the biggest line that can be drawn: equator or lines of longitude.

My Little Projects

October 2015:

  • project one:
    • chained six.
    • used single crochet.
    • crocheted two stitches in each stitch.
    • at the end of each row, i think that i chained one, turned, and then two stitches in each stitch.
    • crocheted four or five rows after the chain row.
  • project two:
    • chained four.
    • slip-stitched into first stitch to make circle.
    • used single crochet.
    • six stitches into the ring.
    • then crocheted 12 additional rows, spiraling around with the following pattern:
    • one stitch, one stitch, two stitches into the previous row. is this a 1-1-2 ?

The small one is Project 1.

Another photo of Project 2.

August 2016 - Good way to use of inexpensive yarn. This uses the project 2 pattern above. It starts out slowly, but then it curls in on itself significantly.

#book - #math - #video

by john - 361 words - 2 min read
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