Ternary parallelogram scales are MOS substitution: Difference between revisions

Inthar (talk | contribs)
No edit summary
Inthar (talk | contribs)
Line 19: Line 19:
== Proof ==
== Proof ==
=== Step 1: Get a homomorphism <math>\mathbb{Z}^2 \to \mathbb{Z}/mn\mathbb{Z}</math> ===
=== Step 1: Get a homomorphism <math>\mathbb{Z}^2 \to \mathbb{Z}/mn\mathbb{Z}</math> ===
=== Step 2: Ternarity implies that one of the step vectors is parallel to an axis ===
=== Step 2: Ternarity implies that exactly one of the step vectors is parallel to an axis ===
 
=== Step 3: The axial step is a MOS substitution slot letter ===
=== Step 3: The axial step is a MOS substitution slot letter ===
==== When the two non-axial steps are identified, the result is a MOS ====
==== When the two non-axial steps are identified, the result is a MOS ====