5/6

TILER Tiles space. 18 copies fill a 3×5×6 box, and boxes stack.

shape tiling

drag to orbit, scroll to zoom

cells: 5, bounding box 1×3×3
symmetry order: 2
chiral: no, its own mirror image
record: data/5/6/shape.json

Stages

stage	outcome	at
box	certified	90

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": "5/6",
  "n": 5,
  "cells": [[0, 0, 0], [0, 0, 1], [0, 0, 2], [0, 1, 0], [0, 2, 0]],
  "symmetry_order": 2,
  "chiral": false,
  "mirror_id": "5/6",
  "verdict": "tiler",
  "tiles_rotations_only": true,
  "tiles_with_reflections": true,
  "certificate": {
    "box": [3, 5, 6],
    "placements": [
      { "offset": [0, 1, 3], "rotation": 1 },
      { "offset": [1, 1, 3], "rotation": 1 },
      { "offset": [0, 0, 2], "rotation": 2 },
      { "offset": [1, 0, 2], "rotation": 2 },
      { "offset": [0, 0, 1], "rotation": 3 },
      { "offset": [0, 1, 0], "rotation": 3 },
      { "offset": [1, 0, 1], "rotation": 3 },
      { "offset": [1, 1, 0], "rotation": 3 },
      { "offset": [0, 0, 0], "rotation": 10 },
      { "offset": [0, 1, 3], "rotation": 10 },
      { "offset": [0, 0, 3], "rotation": 11 },
      { "offset": [0, 1, 0], "rotation": 11 },
      { "offset": [0, 2, 0], "rotation": 15 },
      { "offset": [0, 2, 1], "rotation": 15 },
      { "offset": [0, 2, 2], "rotation": 15 },
      { "offset": [0, 2, 3], "rotation": 15 },
      { "offset": [0, 2, 4], "rotation": 15 },
      { "offset": [0, 2, 5], "rotation": 15 }
    ],
    "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": 90 }
  ]
}