UNITILE2D(1)

✨ unitile2d: uniform tilings, bestie ✨

Okay so this is the UNITILE2D(1) page from User Commands, and the manual name is unitile2d. It's literally about making uniform tilings on a surface, and we're doing the whole thing, no skips. 🫶

💖 NAME 💖

unitile2d — make uniform tilings on a surface.

🌸 SYNOPSIS 🌸

unitile2d [options] [pattern]

🦋 DESCRIPTION 🦋

It makes uniform tilings on a surface. Surfaces include plane or cylinder section, torus, Klein bottle, and many others. The patterns are (default: 1):

• 1 — 4,4,4,4 / {4,4}
• 2 — 3,3,3,3,3,3 / {3,6}
• 3 — 6,6,6 / {6,3}
• 4 — 3,6,3,6
• 5 — 3,3,3,4,4
• 6 — 3,3,4,3,4
• 7 — 3,3,3,3,6
• 8 — 3,12,12
• 9 — 4,8,8
• 10 — 3,4,6,4
• 11 — 4,6,12

✨ Options ✨

• -h, --help — this help message (run off_util -H help for general help). Slay, self-explanatory. 💅
• --version — version information.
• -s <type> — surface type. Pick your main character:
  • p — plane (default)
  • c — conical frustum (-R bottom radius, -r top radius, -d height, -T X,Y,0)
  • m — mobius strip (-R ring radius, -r strip width, -T X,0,0)
  • t — torus (-R ring radius, -r tube radius. -T X,Y,0)
  • T — trefoil (-R ring radius, -r tube radius. -T X,Y,0, -d N,D)
  • k — Klein bottle (-r tube radius, -T X,0,0)
  • K — figure-8 Klein bottle (-R ring radius, -r tube radius, -T X,0,0)
  • C — cross-cap (needs tile vertices at tiling rectangle corners)
  • w — cross-cap (does not preserve tiling, only works with pattern 1!)
  • r — Roman (does not preserve tiling)
  • b — Boy's (does not preserve tiling)
  • R — Roman to Boy's (-d stage of transformation, range 0.0-1.0; does not preserve tiling)
  • x — 4D torus (-W rotation in 4D before projection onto xyz, -T X,Y,0)
  • y — 4D Klein bottle (-W rotation in 4D before projection onto xyz)
• -w <wdth> — width of tiling (default: 20).
• -l <ht> — height of tiling (default: width).
• -g — use given height and width, don't increase to make rectangular tile.
• -r <rad> — 'minor' radius of surface.
• -R <rad> — 'major' radius of surface.
• -d <dist> — height of conic frustrum (-s C, default: 5.0) or parameter for Roman to Boy's surface (-s R, default 0.0).
• -T <tran> — translate pattern, three numbers separated by commas which are used as the x, y and z displacements.
• -S <X,Y> — "shear" the base rectangular tiling pattern by X units in the w direction and Y units in the l direction (used with -s t).
• -W <rot> — rotation of 4D surface before projection, six angles separated by commas to rotate in planes xy,yz,zw,wx,xz,yw.
• -o <file> — write output to file (default: write to standard output).

🌈 SEE ALSO 🌈

The full documentation for unitile2d is maintained as a Texinfo manual. If the info and unitile2d programs are properly installed at your site, the command

info unitile2d

should give you access to the complete manual. Go off, bestie. 📚✨

💖 That's the whole unitile2d page, no cap: source/version is Antiprism 0.32, footer URL is http://..., and the original footer doesn't give a date, so I'm not inventing one. Stay iconic. 💅👑