7/62
TILER Tiles space periodically. 1 copies per repeating block, on a lattice of index 7. No box through volume 96 was found first.
- cells
- 7, bounding box 1×4×4
- symmetry order
- 2
- chiral
- no, its own mirror image
- record
- data/7/62/shape.json
Stages
| stage | outcome | at |
|---|---|---|
| box | exhausted | 96 |
| torus | certified | 7 |
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": "7/62",
"n": 7,
"cells": [[0, 0, 0], [0, 0, 1], [0, 0, 2], [0, 0, 3], [0, 1, 0], [0, 2, 0], [0, 3, 0]],
"symmetry_order": 2,
"chiral": false,
"mirror_id": "7/62",
"verdict": "tiler",
"tiles_rotations_only": true,
"tiles_with_reflections": true,
"certificate": {
"lattice": [[1, 0, 0], [0, 7, 0], [0, 1, 1]],
"placements": [
{ "offset": [0, 6, 0], "rotation": 1 }
],
"type": "torus"
},
"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": "exhausted", "stage": "box", "volume": 96 },
{ "index": 7, "outcome": "certified", "stage": "torus" }
]
}