Place $n$ equally spaced points on a circle, label them $0,1,\dots,n-1$, and join point $i$ to $ki \bmod n$ for a fixed integer $k$. The picture shows orbits and cycles in the ring $\mathbb{Z}_n$ and its units.
NAMSSN UI Chapter
Math-art galleryA dedicated space for algebra-flavoured mathematics at UI: multiplication-table patterns, symmetry diagrams, Cayley graphs, subgroup lattices, and clean posters built from groups and rings.
Where algebra becomes visible
Many of the ideas in UI mathematics courses live in abstract symbols: groups, rings, quotients, homomorphisms. This gallery is designed to let those ideas appear as pictures that can be printed, pinned on a noticeboard, or shared online.
- • Easy: multiplication-table colourings, symmetry of regular polygons, residue classes drawn on circles.
- • Intermediate: Cayley graphs, subgroup lattices, quotient diagrams, visualisations of group actions and rings modulo n.
- • Mixed: algebra seminar posters, carefully drawn exam-style diagrams, LaTeX–TikZ experiments, and basic Manim scenes for algebra stories.
As algebra courses run and students create projects, selected pieces can be placed here as a permanent record of what was done in each session.
How submissions will work
The gallery is set up to receive real work from UI students. When math-art activities begin to run regularly, NAMSSN can use the following simple process:
- • Students create algebra-based artwork or diagrams individually or in groups.
- • Each piece is exported or scanned as a
.pngor.jpgfile. - • A short explanation (3–6 lines) is written to describe the mathematics behind it.
- • Files and explanations are collected by the NAMSSN PRO or a small gallery team.
From there, selected works can be uploaded here with the student’s name, level, course, and semester, so that future students can see what has been achieved in previous years.
Suggested instruction: “Send your algebra art to the NAMSSN PRO with subject ‘Math-art submission’.”
This page is intentionally left without sample images from other institutions. It is reserved for mathematics done at the University of Ibadan. Once students start submitting algebra art, their work can appear here in a simple gallery grid.
Typical entries might be labelled by title, student name, level, course (for example “MTH 325: Abstract Algebra”), semester, and tools used. The structure below is fixed; only the images and descriptions will change as new work is produced.
- • Each row can hold several images from the same semester or course.
- • Simple tags can indicate “Groups”, “Rings”, “Cayley graphs”, or “Posters”.
- • Over time, this becomes a record of how algebra has been studied and visualised at UI.
Project ideas in algebra art
To make it easier to start, here are some project ideas that lecturers, tutors, or NAMSSN organisers can adapt. These are templates, not records of past submissions. They can be used as assignment prompts, competition themes, or voluntary projects.
Draw a regular polygon and illustrate its symmetries as elements of the dihedral group $D_n$. Rotations and reflections can be separated by colour or style to highlight the group structure.
Choose a small group such as $S_3$ or $D_8$, select generators, and draw its Cayley graph. The aim is to see how algebraic relations appear as loops and cycles in the diagram.
For a finite group with a manageable number of subgroups, build a subgroup lattice diagram. Use height to represent subgroup order and emphasise normal or maximal subgroups by colour.
Design an A4 or A3 poster that explains a single group or ring: its elements, operation table, simple examples, and one or two key theorems, supported by a clean diagram.
Arrange the elements of $\mathbb{Z}_n$ on a circle, highlight the units in a different colour, and show visually how the units form a group under multiplication modulo n.
Lecturers and tutors can choose one or two of these ideas per semester, adapt the instructions, and invite students to submit their best attempt. The gallery then records the strongest examples from each run of the course.