Recreational Mathematics

Consecutive & Mirror-Style
Multiplication Patterns – Generator

Product pairs · substring and insertion patterns · all growth modes

Created by Inder J. Taneja

factor A

factor B

pattern digits (new each step)

wrap (substring mode)

Seed A

Seed B

Steps

Max digit

Interval — scan A×(A+gap) for a range of seeds

A from

A to

Gap (B=A+gap)

Multiple ranges

Min steps

Steps/pair

Max digit

Filter

Two pattern types detected: substring (result contains previous result) and insertion (same digits inserted at regular positions each step). Click "Show interval results" to generate.

Mirror-style products — paired reversed factors

Compare A×B with reverse(A)×reverse(B). The products are mirror partners when the second product is the digit-reversal of the first.

Seed A

Gap (B=A+gap)

Steps

Insert digit

Growth position

Mirror interval — automatic search

A from

A to

Gap

Steps

Insert digit

Position

Find complete mirror-product families across a range of seeds.