
The connection between mathematics and
art goes back thousands of years. Mathematics has been
used in the design of Gothic cathedrals, Rose windows,
oriental rugs, mosaics and tilings. Geometric forms were
fundamental to the cubists and many abstract expressionists,
and awardwinning sculptors have used topology as the
basis for their pieces. Dutch artist M.C. Escher represented
infinity, Möbius ands, tessellations, deformations,
reflections, Platonic solids, spirals, symmetry, and
the hyperbolic plane in his works.
Mathematicians and artists continue to
create stunning works in all media and to explore the
visualization of mathematicsorigami, computergenerated
landscapes, tesselations, fractals, anamorphic art, and
more.
Jump to one of the galleries


Explore the world of mathematics and art, share an epostcard, and bookmark this page to see new featured works..
Home > Daina Taimina's Hyperbolic Crochet

Daina Taimina's Hyperbolic Crochet
Click on the thumbnails to see larger image and share.




"Seven Shades of Purple," by Daina Taimina (Cornell University, Ithaca, NY), photo Â© Daina TaiminaInspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratioafter every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures  Daina Taimina (Cornell University, Ithaca, NY)


Autumn (Thanksgiving), by Daina Taimina (Cornell University, Ithaca, NY), photo @Daina Taimina44x44x29 cm, 20062010, wool, silk
Inspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratioafter every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures  Daina Taimina (Cornell University, Ithaca, NY)


"Manifold II (in tree) in memory of Bill Thurston," by Daina Taimina (Cornell University, Ithaca, NY), photo Â© Daina TaiminaInspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratioafter every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures  Daina Taimina (Cornell University, Ithaca, NY)


"Manifold 5," by Daina Taimina (Cornell University, Ithaca, NY), photo Â© Daina TaiminaInspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratioafter every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures  Daina Taimina (Cornell University, Ithaca, NY)


"Manifold II (Bird's Eye View) in memory of Bill Thurston," by Daina Taimina (Cornell University, Ithaca, NY), photo Â© Daina TaiminaInspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratioafter every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures  Daina Taimina (Cornell University, Ithaca, NY)


"Land and the Sea," by Daina Taimina (Cornell University, Ithaca, NY), photo Â© Daina TaiminaInspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratioafter every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures  Daina Taimina (Cornell University, Ithaca, NY)



