Triangles

Acute, obtuse, right, equilateral, scalene, isosceles, isosceles right: these are some of the different types of triangles. Up until the release of Palace Gates yesterday, all of the triangular shawls I’ve designed have either been paired isosceles right triangles butted up next to each other with a central spine, or a simple isosceles triangle.

Triangles-2

These triangles have all been basically the same, but for variety have been knit from different directions. Here are some examples:

  • Paired isosceles right triangles
    • Top to bottom increasing. Antares. Starts with a tab cast on of just a few stitches, and increases along both legs of each triangle.
    • Bottom to top decreasing. Tilia. Starts by casting on a lot of stitches, enough for both hypotenuses, and decreases at edges and center point to meet at the top.
  • Single isosceles triangles
    • Top to bottom decreasing. Hesperia. Starts with a lot of stitches, and decreases only along outer edges to a center point.
    • Bottom to top increasing. Clematis. Starts with a few stitches, and increases only along the outside edges to the top edge.

Palace Gates

Palace Gates is a whole different animal. Sort of. I didn’t realize until I measured the finished shawl that Palace Gates is a simple isosceles right triangle. The real difference is in its construction. This shawl starts out with just four little stitches like some of the others, but grows only along the hypotenuse until it’s as big as it’s going to get. Except for that frilly little edging that goes in and out a bit, that vertical leg doesn’t increase at all. It stays in one place, and makes a lovely 90° turn at the end.

Isosceles right

The fun thing about making triangles this way is that the top and bottom points of the hypotenuse curve inward, and the ends will spiral, if they’re long enough, and left to their own devices.

Palace Gates

If you’re interested in reading more about triangles, including little pictures that better show what’s what, and who’s who, go to this math site. The words will get pretty technical on you, but the pictures are clear, and it’s all good stuff.

P.S. The gray shawl featured at the top of this post is In the Starlight. Just saying.