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The artillery loop [1] is a knot with a loop on the bight for non-critical purposes. The artillery loop must have the loop loaded or it will slip and contract easily. It is an inferior knot to the alpine butterfly knot, [2] possibly dangerously so, in that it can be yanked out of shape and turn into a running knot or noose.
A versatackle [1] is a self-locking tensioning structure implemented in cordage. It consists of two loops with the rope passed back and forth between them. It is functionally similar to the trucker's hitch; however, unlike the trucker's hitch, the versatackle is self-locking under tension.
If one draws the data-flow diagram for this pair of operations, the (x 0, x 1) to (y 0, y 1) lines cross and resemble the wings of a butterfly, hence the name (see also the illustration at right). A decimation-in-time radix-2 FFT breaks a length-N DFT into two length-N/2 DFTs followed by a combining stage consisting of many butterfly operations.
The security of the knot arises from the fact that at step 3 in the tying sequence the knot is a Double Harness Bend (ABoK #1420). The additional step of passing the ends through the outer loops to complete the knot results in each line entering and exiting the knot being clamped at two points within the knot.
The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name. A commutative diagram depicting the five lemma
The bowline (/ ˈ b oʊ l ɪ n / or / ˈ b oʊ l aɪ n /) [2] is an ancient and simple knot used to form a fixed loop at the end of a rope. It has the virtues of being both easy to tie and untie; most notably, it is easy to untie after being subjected to a load. The bowline is sometimes referred to as king of the knots because of its importance.
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Tying steps two and three in progress. To tie: Create a loop in the rope. Then pull a bight of the working part through the loop, creating an overhand noose knot.; Pull another bight of the working part through the loop of the previous stitch.