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Posts tagged #mathcrochet

Norma B Gordon
Norma B Gordon
@normabgordon.bsky.social
7 months ago

New project #mathcrochet hexaflexagon #mathplay #iteachmath #MathPhoto25 #hexagon #shapes

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Susan Goldstine
Susan Goldstine
@sgoldstine.bsky.social
1 year ago
Video

Those were all regular maps sewn out of crocheted regular polygons. If you’re willing to go semi-regular, you can bump up to Granny’s Double Torus, here. Find the conference paper, video lecture, and pattern to make your own through the link.

#mathcrochet

2020.bridgesmathart.org/short/413.html

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Susan Goldstine
Susan Goldstine
@sgoldstine.bsky.social
1 year ago
Four colorful crochet objects in a 2 by 2 square on a tablecloth. Each is sewn out of traditional granny polygons in bright colors, and the complexity grows as you go clockwise from the upper right, where 4 granny triangles in red, orange, yellow, and blue are sewn into a little triangular pyramid. In the lower right, 5 granny squares in red, orange, yellow, blue, and cyan make an open cylinder with a collapsed tubular edge. In the lower left, 6 granny pentagons in the square colors plus purple form an undecipherable twisty mass. In the upper left, 7 granny hexagons in the pentagon colors plus green are sewn into a bumpier version of the 5-square tube whatsit. In fact, the 5-color and 7-color objects are tori (that is, each one is a torus, or a donut surface), and the 6-color object is a möbius band pretending to be a projective plane.

Four colorful crochet objects in a 2 by 2 square on a tablecloth. Each is sewn out of traditional granny polygons in bright colors, and the complexity grows as you go clockwise from the upper right, where 4 granny triangles in red, orange, yellow, and blue are sewn into a little triangular pyramid. In the lower right, 5 granny squares in red, orange, yellow, blue, and cyan make an open cylinder with a collapsed tubular edge. In the lower left, 6 granny pentagons in the square colors plus purple form an undecipherable twisty mass. In the upper left, 7 granny hexagons in the pentagon colors plus green are sewn into a bumpier version of the 5-square tube whatsit. In fact, the 5-color and 7-color objects are tori (that is, each one is a torus, or a donut surface), and the 6-color object is a möbius band pretending to be a projective plane.

The same four colorful crochet thingies, but each is arranged so that the orange polygon is in the front center. This highlights the fact that orange always touches all the other colors. And that is the point of these objects: in each nugget of topological crochet, each color touches all the others. On the surface of a ball, the maximum number of colors you can achieve this with is four. That is why the other three objects are higher genus surfaces.

The same four colorful crochet thingies, but each is arranged so that the orange polygon is in the front center. This highlights the fact that orange always touches all the other colors. And that is the point of these objects: in each nugget of topological crochet, each color touches all the others. On the surface of a ball, the maximum number of colors you can achieve this with is four. That is why the other three objects are higher genus surfaces.

The four colorful crochet humdingers in different configurations, for fun. The tetrahedron in the upper right is just pyramiding as in the first photo. The torus in the lower right is flattened into a multilayered square that is mostly red and yellow on the front, with orange, blue, and cyan peeking out near two corners. The projective plane has the purple pentagon smoothed out at the front. The torus in the upper left is flattened into a multilayered equilateral triangle, with the front in orange, yellow, red, and cyan.

The four colorful crochet humdingers in different configurations, for fun. The tetrahedron in the upper right is just pyramiding as in the first photo. The torus in the lower right is flattened into a multilayered square that is mostly red and yellow on the front, with orange, blue, and cyan peeking out near two corners. The projective plane has the purple pentagon smoothed out at the front. The torus in the upper left is flattened into a multilayered equilateral triangle, with the front in orange, yellow, red, and cyan.

#CrochetAway #quickcrochet Quick is relative, but the doodads on the right went fast. The link is me describing the #topology principles in six minutes. Fifth gadget in the series is anti-quick: see me fail hard at making it in the video. 😉

🧶 #crochetsky #mathcrochet

youtu.be/LjPTSEJh1GM?...

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Susan Goldstine
Susan Goldstine
@sgoldstine.bsky.social
1 year ago
An unusually shaped shawl composed of sunburst granny squares in five color ways. The granny squares are attached so each interior corner has five squares around it, one from each color way, and the entire shawl is sort of horseshoe shaped. Since there are 450° total at each vertex, the squares proliferate farther from the center, and the outer edge of the shawl is extremely ruffled. Each square has light and dark grey outer layers around a bright, flower-like sunburst with a pale yellow center.

An unusually shaped shawl composed of sunburst granny squares in five color ways. The granny squares are attached so each interior corner has five squares around it, one from each color way, and the entire shawl is sort of horseshoe shaped. Since there are 450° total at each vertex, the squares proliferate farther from the center, and the outer edge of the shawl is extremely ruffled. Each square has light and dark grey outer layers around a bright, flower-like sunburst with a pale yellow center.

A white woman with light brown curly hair and glasses standing in front of a yellow garden shed and wearing the shawl from the previous photo. A round shawl pin at the right shoulder holds the shawl, which sits more or less like a poncho, in place.

A white woman with light brown curly hair and glasses standing in front of a yellow garden shed and wearing the shawl from the previous photo. A round shawl pin at the right shoulder holds the shawl, which sits more or less like a poncho, in place.

Five granny squares sewn together into a “flat” torus with a square profile. On the top surface, over half of a red granny square is visible, along with slightly less than half of a yellow granny square and smaller bits of orange, dark blue, and cyan granny squares. Near the bottom right, you can see the corner where the red, cyan, dark blue, and yellow squares come together. The back of the cyan square is visible through the holes in the red and yellow squares.

Five granny squares sewn together into a “flat” torus with a square profile. On the top surface, over half of a red granny square is visible, along with slightly less than half of a yellow granny square and smaller bits of orange, dark blue, and cyan granny squares. Near the bottom right, you can see the corner where the red, cyan, dark blue, and yellow squares come together. The back of the cyan square is visible through the holes in the red and yellow squares.

Well, damn: you forget to check #CrochetAway, and you miss #grannysquare week! Here are a couple of #mathcrochet uses of granny squares in fives: a five-to-a-corner granny square hyperbolic plane shawl, and a torus sewn out of five granny squares, each touching the other four.

🧶 #crochetsky

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