math.json

1[2  {3    "fn": "math::atoms::carpet_2d",4    "in": {5      "n": 36    },7    "out": {8      "shape": [9        3,10        311      ],12      "data": [13        1,14        1,15        1,16        1,17        0,18        1,19        1,20        1,21        122      ]23    },24    "note": "the 3 by 3 seed every carpet design rests on"25  },26  {27    "fn": "math::two::carpet",28    "in": {29      "number": 3,30      "level": 231    },32    "out": {33      "v": 1,34      "width": 9,35      "height": 9,36      "types": [37        [38          1,39          1,40          1,41          1,42          1,43          1,44          1,45          1,46          147        ],48        [49          1,50          0,51          1,52          1,53          0,54          1,55          1,56          0,57          158        ],59        [60          1,61          1,62          1,63          1,64          1,65          1,66          1,67          1,68          169        ],70        [71          1,72          1,73          1,74          0,75          0,76          0,77          1,78          1,79          180        ],81        [82          1,83          0,84          1,85          0,86          0,87          0,88          1,89          0,90          191        ],92        [93          1,94          1,95          1,96          0,97          0,98          0,99          1,100          1,101          1102        ],103        [104          1,105          1,106          1,107          1,108          1,109          1,110          1,111          1,112          1113        ],114        [115          1,116          0,117          1,118          1,119          0,120          1,121          1,122          0,123          1124        ],125        [126          1,127          1,128          1,129          1,130          1,131          1,132          1,133          1,134          1135        ]136      ]137    },138    "note": "the byte-grid crossing: the cell as math::two::to_json writes it"139  },140  {141    "fn": "math::two::census::census",142    "in": {143      "cell": {144        "fn": "math::two::carpet",145        "in": {146          "number": 3,147          "level": 2148        }149      }150    },151    "out": {152      "fills": 64,153      "voids": 17,154      "perimeter": 80,155      "vertices": 96,156      "edges": 168,157      "euler": -8158    },159    "note": "a struct crossing: the Census through its serde derive"160  },161  {162    "fn": "math::counts::fill",163    "in": {164      "code": "23",165      "number": 3,166      "dimension": 3,167      "level": 2,168      "base": 2169    },170    "out": "400",171    "note": "the sponge's filled cells in closed form, u128 as a decimal string"172  },173  {174    "fn": "math::bang::bang",175    "in": {176      "dimension": 3177    },178    "out": 22,179    "note": "Universe::distinct() of the dimension-3 universe"180  },181  {182    "fn": "math::three::census::census",183    "in": {184      "cell": {185        "fn": "math::three::carpet",186        "in": {187          "number": 3,188          "level": 1189        }190      }191    },192    "out": "72",193    "note": "the .surface field only, u128 as a decimal string"194  },195  {196    "fn": "math::spectrum::laplacian_spectrum",197    "in": {198      "network": {199        "dim": 1,200        "nodes": [201          [202            0.0203          ],204          [205            1.0206          ],207          [208            2.0209          ],210          [211            3.0212          ],213          [214            4.0215          ]216        ],217        "branches": [218          [219            0,220            1,221            1.0222          ],223          [224            1,225            2,226            1.0227          ],228          [229            2,230            3,231            1.0232          ],233          [234            3,235            4,236            1.0237          ]238        ]239      },240      "normalised": false241    },242    "out": [243      0.0,244      0.38196601125,245      1.38196601125,246      2.61803398875,247      3.61803398875248    ],249    "note": "the five eigenvalues of a 5-node path, ascending, to 12 decimals"250  }251]