Here are 30 torus variations, ranging from clean 2D graphics to sculptural 3D forms. I’ve made each concept distinct in geometry, surface treatment, or composition—not just a different colour.

The underlying design vocabulary is rich: changing the central opening, flattening or indenting the body, and balancing decorated and bare surfaces are all approaches explored in torus-based ceramic art. The suggestions below are my own creative directions built around those possibilities. ceramicartsnetwork

1–10: Change the shape

# Variation Design direction Format
1 Elliptical torus Stretch the whole ring into a slender oval. Pair a generous opening with a thin body for an elegant, understated silhouette. 2D or 3D
2 Rounded-square torus Replace the circular centreline with a rounded square, keeping the tube soft and curved. Try porcelain white with a dark inner edge. 2D or 3D
3 Rounded-triangle torus Sweep a smooth tube around a softly rounded triangle. Use broad corners rather than sharp points for a playful, flowing form. 2D or 3D
4 Petal torus Give the ring five or six gently rounded lobes, like a flower with an open centre. Use subtle rather than deeply cut petals. 2D or 3D
5 Heart-loop torus Shape the centreline into a rounded heart with a shallow upper notch. A continuous tubular body makes it feel sculptural rather than emblematic. 2D or 3D
6 Eccentric-aperture torus Shift the hole away from the centre, making one side thick and the opposite side thin. Keep the outer contour smooth for controlled asymmetry. 2D or 3D
7 Tapered torus Gradually vary the tube thickness around the loop, creating a swelling body that narrows and returns smoothly. Emphasize the transition with a restrained gradient. 3D
8 Saddle-wave torus Lift two opposite portions and lower the other two, producing an undulating ring. View it obliquely so the rise and fall are visible. 3D
9 Twisted oval-tube torus Use an elliptical tube cross-section and rotate that cross-section as it travels around the ring. This produces broad, flowing highlights without added ornament. 3D
10 Flattened pebble torus Compress the ring vertically and soften its contours into a river-stone shape. Use a matte finish and a small, gently irregular opening. 3D

11–20: Transform the surface or construction

# Variation Design direction Format
11 Fluted torus Add evenly spaced rounded ribs across the tube, like a softly corrugated pastry mould. Keep the rib depth shallow for a refined finish. 3D
12 Spiral-grooved torus Wrap continuous helical grooves around the ring. Combine a smooth overall silhouette with diagonal surface movement. 3D
13 Faceted gemstone torus Replace the smooth surface with deliberate planar facets. Use fewer, larger facets for a sculptural look rather than a noisy low-poly mesh. 2D or 3D
14 Wireframe torus Reveal the form through a sparse grid of meridians and parallels. Use thin copper-coloured lines on charcoal, or black lines on ivory. 2D or 3D
15 Lace-shell torus Perforate the surface with repeating leaf, diamond, or teardrop openings. Leave occasional solid bands to give the pattern visual breathing room. 3D
16 Contour-slice torus Construct the ring from separated parallel slices, like a topographic model. Let the gaps reveal the hollow centre and layered silhouette. 3D
17 Beaded torus Arrange spheres or rounded capsules along a circular path. Vary their sizes gradually so the ring has rhythm instead of uniform repetition. 2D or 3D
18 Braided torus Weave three tubular strands into a closed circular braid. Use one colour for unity or three closely related tones to distinguish the strands. 3D
19 Ribbon-wrap torus Wind a narrow contrasting ribbon around a plain torus, leaving most of the base exposed. Try a dark matte body with a slender metallic wrap. 3D
20 Crystalline-growth torus Keep most of the ring smooth, but grow small crystal-like projections along one outer arc. Concentrate the texture rather than covering everything. 3D

21–25: Turn it into a 2D graphic

# Variation Design direction Format
21 Contour-line torus Draw only selected cross-sectional curves, with line density increasing near the edges. Let the marks imply volume without a filled surface. 2D
22 Moiré torus Overlay two slightly rotated or offset toroidal line patterns. Restrict the interference to part of the ring, leaving a quieter region for contrast. 2D
23 Gradient halo Render the ring as a smooth colour field with an off-centre highlight and a crisp opening. Try indigo → violet → coral rather than a full rainbow. 2D
24 Negative-space torus Suggest the ring using surrounding shapes or interrupted arcs, leaving the torus itself unpainted. Aim for recognition with as few marks as possible. 2D
25 Cut-paper torus Build a stylized torus from nested, offset paper-like silhouettes. Give each layer a restrained colour shift and a small shadow for depth. 2D or shallow relief

26–30: Create a larger composition

Some of these move beyond a single torus into torus-inspired assemblies. Interlocked rings and twisted-loop constructions are also established directions in mathematical making and 3D-printing projects. instructables

# Variation Design direction Format
26 Interlocked pair Link two rings at different angles, balancing one thick ring against one slender ring. Contrast satin metal with matte ceramic. 3D
27 Nested tilted tori Place three progressively smaller rings inside one another, each tilted differently. Keep enough separation to preserve the central negative space. 3D
28 Orbital torus bouquet Arrange several slender tori around a shared centre, like orbital paths. Use a limited palette and deliberately unequal angles to avoid a mechanical feel. 3D
29 Exploded torus Divide a ring into curved segments and separate them slightly while preserving the implied circular form. Alternate long and short segments for rhythm. 2D or 3D
30 Torus-knot sculpture Replace the simple circular loop with a tube that winds around an imaginary torus and closes into a knot. Give the crossings generous separation and use a single material so the geometry remains the focus. 3D

A cohesive way to develop the ideas

For a first exploration, I’d choose six contrasting directions:

  • Minimal: eccentric-aperture torus, #6.
  • Organic: flattened pebble torus, #10.
  • Sculptural: twisted oval-tube torus, #9.
  • Architectural: contour-slice torus, #16.
  • Graphic: negative-space torus, #24.
  • Mathematically intricate: torus-knot sculpture, #30.

To make them feel like a designed collection, keep the background, palette, and viewing angle consistent. Give each piece one dominant gesture—shape, texture, or arrangement—and keep the other elements quiet. That way, the variation itself becomes the visual subject rather than competing decoration.