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*AppliedMath*, Volume 2, Issue 3 (September 2022) – 10 articles

**Cover Story**(view full-size image): The infinite sequence of triangular numbers, {

*Tn*}={n(n+1)/2}, takes on interesting structure upon performing the modulo by any positive integer

*m*. The key structural feature is

*2m*periodicity which allows for the properties of this infinite sequence to be studied via a

*2m*-member sequence of residue classes. Additional structural features are present and can be explored using various representations including with network graphs. The cover image shows a graph representation of the triangular numbers modulo several different values of

*m*. Graphs for low composite numbers exhibit web-like structure. Graphs for high composites get rather complicated, but one can still see a web-like overall structure. View this paper

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