6/31

TILER Tiles space. 2 copies fill a 2×2×3 box, and boxes stack.

shape tiling

drag to orbit, scroll to zoom

cells: 6, bounding box 2×2×3
symmetry order: 1
chiral: yes, twin 6/57
record: data/6/31/shape.json

Stages

stage	outcome	at
box	certified	12

Downloads

model.stl the shape, printable
tiling.obj a chunk of the tiling, one colour per copy
shape.json the record

The record, as stored

{
  "id": "6/31",
  "n": 6,
  "cells": [[0, 0, 0], [0, 0, 1], [0, 0, 2], [0, 1, 0], [0, 1, 1], [1, 0, 2]],
  "symmetry_order": 1,
  "chiral": true,
  "mirror_id": "6/57",
  "verdict": "tiler",
  "tiles_rotations_only": true,
  "tiles_with_reflections": true,
  "certificate": {
    "box": [2, 2, 3],
    "placements": [
      { "offset": [0, 0, 0], "rotation": 9 },
      { "offset": [0, 0, 0], "rotation": 10 }
    ],
    "type": "box"
  },
  "heesch": null,
  "budgets": { "box_max_volume": 96, "torus_max_index": 48 },
  "credits": { "prior_art": null, "solved_by": "polycube-census v0.1.0", "verified_by": null },
  "stages": [
    { "outcome": "certified", "stage": "box", "volume": 12 }
  ]
}