6 Collatz tiles

This is a short follow-up on how to read base 3/2 in Collatz tilings.

Building on the $20 = T^6(45)$ example of the 6 tiles blog post:

The mapping from tiles to base 3/2 digits is as follows:

• Tiles 0 and 1 map to digit 0/2
• Tile 2 maps to digit 2/2
• Tile 3 maps to digit -1/2
• Tiles 4 and 5 map to digit 1/2

Here: ‘2515524’ (lowest significant digit at the end) becomes:

1/2 + 2/2 (3/2) + 1/2 (3/2)^2 + 1/2 (3/2)^3 + 0/2 (3/2)^4 + 1/2 (3/2)^5 + 2/2 (3/2)^6 = 20