WYTHOFF(1)

💖 NAME 💖

This is the WYTHOFF(1) manual page from the User Commands section, and the main character is wythoff — Wythoff-style constructions ✨ bestie, that’s the whole vibe.

🌸 SYNOPSIS 🌸

wythoff [options] [input_file]

🦋 DESCRIPTION 🦋

okay so wythoff reads a file in OFF format and applies a specified pattern to generate polygon tiles. 🎀

The polyhedron faces get divided by a 'meta' operation into triangles, and each triangle has vertices that are a vertex V, an edge centre E, and a face centre F. A start point is positioned on one of these triangles, and the next point is found by using the pattern to step between triangles, leading to a circuit. 🔥

If input_file is not given, the program reads from standard input. 🫶

✨ Options ✨

• -h, --help — this help message (run off_util -H help for general help) 🥰
• --version — version information
• -p <pat> — pattern in form: [Coords0:Coords1:...]Path0,Path1.... Coordinates are barycentric, in form aVbEcF:
  • VEF are element letters, and a, b, c are barycentric coordinates corresponding to the following element letter. Omitting an element letter and coordinate sets the coordinate to zero. Omitting just the coordinate sets the coordinate to 1. E.g. V = (1,0,0), VE = (1,1,0), V2E3F = (1,2,3).
  • Paths are in the form: TrisPidx0Move0Pidx1Move1...
  • Tris: one of +-* (default +) indicating that paths should start for positive, negative or both kinds of triangles.
  • Pidx: an index number of a point from the coordinates list.
  • Move: an operation for stepping to the next triangle, given as a series of characters from the following:
    • _ — no move, stay on the same triangle.
    • v,e,f — step over side opposite V,E,F.
    • V,E,F — step two trianglesi, rotating about V,E,F, according to: V=ef, E=fv, F=ve.
  • Paths can start or end with either a move or a point.
• -c <op> — Conway polyhedron notation operator, or 'list' to list all available operators with their corresponding patterns.
• -R — reverse pattern, exchanges the signs of the start triangles.
• -r <elms> — relabel pattern, exactly three letters VEF written in any order.
  • e.g. EFV relabels the pattern as V->E,v->e,E->F,e->f,F->V,f->v.
• -M — input geometry is a 'meta' tiling, don't apply meta operation.
• -C <mthd> — tile colouring method, optionally followed by ':' and point colouring method.

Tile colouring methods

• none — do not colour tiles.
• index — use the path index, and apply colormap (default).
• association — colour tiles using corresponding base element.
• colour, optionally followed by a comma and a letter from V, E, F, or a colour, to use for all local tiles (default: F).

Point colouring methods (default: use tile coloring method)

• none — do not colour points.
• index — use the point index, and apply colormap.
• association — colour points using corresponding base element.
• colour, optionally followed by a comma and a letter from V, E, F, or a colour, to use for all local points (default: F).
• component — colour by non-zero components, V=1, E=2, F=4, V&E=3, E&F=6, V&F=5, V&E&F=7, and apply colormap.
• weight — colour using barycentric coordinates as RGB.

• -m <maps> — a comma separated list of colour maps used to transform colour indexes (default: spread), a part consisting of letters from v, e, f, selects the element types to apply the map list to.
• -u — output only one example of each type of tile (one per path).
• -a — add the 'meta'-transformed base.
• -f <ht> — lift the face centres by this height.
• -q — quiet, don't print report.
• -o <file> — write output to file (default: write to standard output).

🎀 SEE ALSO 🎀

The full documentation for wythoff is maintained as a Texinfo manual. If the info and wythoff programs are properly installed at your site, the command

info wythoff

should give you access to the complete manual. 💅

---

footer sign-off, bestie: source/version is wythoff: Antiprism 0.32 - http://ww... (the original cuts the URL off), and the date is the footer’s date field. 💖🎀✨