Pattern 61: Genesis 1:1 Words in Strings Generated from Pi, e, and Phi

Why this pattern matters

This test asks whether the original arrangement of the letters within the seven Genesis 1:1 words reappears unusually early in strings generated from digit combinations of π, e, and φ.

The comparison preserves each word’s length while scrambling its letters, providing a direct control for the original word spellings.

How this pattern is measured

The program performs the following steps:

1. Remove the spaces from the transliterated Genesis 1:1 text, producing a sequence of 28 letters.
2. Read digits of π, e, and φ without their decimal points.
3. At each position, add the corresponding digits from the selected constants.
4. Add that digit sum to a running total and reduce the total modulo 28.
5. Use the resulting position to select a letter from the 28-letter Genesis 1:1 sequence.
6. Repeat the process to construct a 50-million-character letter string.
7. Find the first occurrence of each of the seven Genesis 1:1 words.
8. Record the latest of those seven positions—the point by which all seven words have appeared—and compare it with a control in which the letters within each word have been shuffled.

The program separately tests:

• π + e
• π + φ
• π + e + φ
• π alone
• π combined with random digits as a control

Result

See the complete results, source files, and verification software

Control comparison

The program generates 170 within-word shuffled controls and compares the position by which all seven original words are found with the corresponding position for each shuffled control.

These are empirical software comparisons. They should not be converted into a stand-alone probability unless the test conditions, number of wins, treatment of ties, and statistical model are stated explicitly.

Supporting tables

The seven Genesis 1:1 words used as the search targets are highlighted below.