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Yijing Reversed Hexagram Calculator

Reverse the bottom-to-top order of a six-line figure and report exact self-reversal; no interpretation or sequence-number lookup.

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Description

Reverse six bottom-to-top binary lines and report whether the figure is unchanged by reversal.

These tools represent a six-line figure as six binary values ordered from bottom to top, with yin represented by zero and yang by one. Three adjacent lines form a trigram. Binary encoding, line reversal, and changing selected lines are separate operations under this explicit representation.

Reverse six bottom-to-top binary lines and report whether the figure is unchanged by reversal.

When to use this tool

Use Yijing Reversed Hexagram Calculator when you need a reproducible binary line transformation with an inspectable output figure.

How to use the tool and how it works

  1. Enter lines. Keep parallel arrays aligned. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Require exactly six binary lines in bottom-to-top order. Reverse their array order, compare it exactly with the original for selfReversing, and return both fields inside result.1

Input fieldMeaning and unitsAccepted input
linesLinesRequired. Array of Finite number..
Output fieldInterpretationReturned shape
resultResultRequired. Object.
json
{
  "input": {
    "lines": [
      1,
      0,
      0,
      0,
      0,
      0
    ]
  },
  "output": {
    "result": {
      "reversedLines": [
        0,
        0,
        0,
        0,
        0,
        1
      ],
      "selfReversing": false
    }
  }
}

Limitations and assumptions

  • Reversal exchanges line positions rather than complementing yin and yang. No cultural sequence number, prediction, or textual interpretation is inferred.
  • Outputs are nested inside result. The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.

Alternative or Complementary methods

Keep one explicit line-order and binary convention throughout. Use a separate attributed text or scholarly source when the task requires a figure name or interpretation.

References

  1. Calculation and input contract: yijing/reversed-hexagram — tool.io

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