CS 791: Assignment 2 - Symmetry and Celtic Knots

Index

Note that there are some rendering artefacts in the PDFs that I have not had a chance to investigate. Specifically, the cell grid is faintly visible, which is most obvious on the larger images with thicker knot ribbons. My best guess as to the cause, without further examination, is that this is due to some sort of anti-aliasing settings in the PDF renderer or path filling option.

Celtic Knot Frieze Groups

These are five examples of different frieze groups for celtic knots as identified by Cromwell's paper.

This is group p111.

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This is group p112.

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This is group p1a1.

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This is group p1(2/a)1.

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This is group p222.

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Rendering Style Examples

A curved knot rendered with a single colour and moderate width.

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The same knot with each strand rendered in a different colour.

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The same knot again, but with different colours and much thicker this time.

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And again, this time with thicker borders.

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Other Examples

These examples show some of the other features of the knot editor.

The last example from the previous section with some square corners.

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The letters M and T, illustrating the cell disabling feature.

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A knot showing two independently coloured strands (also seen in many of the other examples).

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Another knot with multiple strands and some square corners.

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(From here, you can go back to the main assignment page or read about the extensions.)