Knot a Problem — Help

Create Celtic Knots

With the icon set to scissors (✄), you can design your Celtic Knot by drawing walls. These are breaks in the knotwork where instead of crossing, the ribbons turn back on themselves. By default, the walls are drawn symmetrically (this can be changed in the settings).

• Single tap on where a crossing was to put it back.
• Double tap to undo the last action.
• Triple tap to remove all the walls.
• Tap on the scissors icon to cycle through the different modes.

Zoom In/Out

With the icon set to the magnifying glass (🔍), use pinch to zoom and drag to move the knot around. Double tap to reset the zoom so that the knot fits on the screen.

Resize

With the icon set to the plus/minus (±), you can resize the knot itself adding to or subtracting from each edge.

Configure

• Show/hide orientation of self-crossings. When a ribbon crosses itself, there are two ways in which it can do so. These are called orientations. This option shows those orientations.
• Show/hide walls. This option is for drawing the walls.
• Force symmetric walls, or not. This option determines whether new walls will be added symmetrically or not. The symmetry is rectangular (even if the knot happens to be square).
• Adjust ribbon thickness. By tapping the two sides of this button, the ribbon can be made thicker or thinner.
• Set base colour. The colours are chosen by sampling from a colour wheel. There are four options for that wheel, either the full wheel or one tinted red, green, or blue.
• Save knot to photos. Save a picture of the knot to the photo library. Note: the knot will have a transparent background.
• Copy TeX code to clipboard. This will copy the TeX code for the knot to the clipboard, which can be used with the Celtic Knots package for TikZ/pgf.
• Reset everything. Resets the knot back to its initial state.
• Toggle help. Toggles whether to show the help texts, or not.

Credits

• Author: loopspace
• Email: loopspace - mathforge - org
• Twitter: @mathforge
• Coded: using Codea on an iPad