Cast I Ching Hexagram Online

The Kabala I Ching Hexagram Casting tool is a specialized application developed based on the Six Lines Hexagram Casting, catering to both beginners and experienced users of the I Ching. Kabala accurately simulates the traditional six-line casting algorithm (with the algorithm explained below) while providing basic interpretations and integrating 384 lines of commentary. This system ensures comprehensive information for each I Ching hexagram, allowing users to easily approach and understand the philosophy of the I Ching.

Scientific Explanation of the I Ching Casting Algorithm

This algorithm simulates the casting of a hexagram in the I Ching by using three coins to determine each line of the hexagram. Each line may be one of the following: Moving Yin, Moving Yang, Static Yin, or Static Yang

The algorithm uses three coin tosses, each resulting in either 0 or 1 with a 50% probability:

• 0: Yin side
• 1: Yang side

The sum of the three tosses will determine one of the four states of the line:

• 0 (3 Yin sides): Moving Yin
• 1 or 2: Static Yin or Static Yang
• 3 (3 Yang sides): Moving Yang

Probability Formula

1. General probability for each side of the coin:
   • Each coin has two outcomes: 0 or 1, with a probability of 50%.
   • Combining three coins gives four possible states:

Algorithm Evaluation

Advantages

1. Simple and understandable: The algorithm is straightforward and easily implemented using random functions and conditional statements.
2. Accurate simulation of the traditional process: Casting coins to determine the line is similar to using three actual coins in hexagram casting.
3. High applicability: It can be expanded to calculate more complex hexagrams or used in other applications of the I Ching.

Disadvantages

1. Assumption of equal probability: The algorithm assumes that each side of the coin is completely equal in probability, not accounting for physical factors that might affect the outcome in real life.
2. Limitations of computer-generated randomness: The Math.random() function is not truly random but pseudo-random, which may not fully replicate true randomness in casting.

This algorithm simulates the I Ching hexagram casting system using three coins as a feasible, simple, and comprehensible approach for basic applications. However, in-depth philosophical studies of the I Ching or randomness research should consider the limitations of computer simulations and the simplified nature of this model.