Kaleidostilings & polyhedra

Construction

Preset

Family

Triangle

p q r

Integers, fractions such as 5/2 (sphere only) or ∞ (type inf). The angle sum decides the geometry.

View

Reach

DualMirrors

Click a mirror node to ring it, or drag the generator point inside the triangle for non-uniform variants. Sweep moves it around the triangle’s edges.

Type

Dual

Tiles

Depth

Grids

Offsets

Five grids give Penrose rhombs; four give the Ammann–Beenker tiling of squares and 45° rhombs.

Level

Style

Group

Aspect

Angle

Draw with the pointerCell

Brush

Each stroke is repeated by every symmetry of the group. Turn drawing off to pan.

Tile type

Drag the round handles on the outlined tile. Matching edges follow automatically.

Colour

Fill by

Palette

Tiles

Edges

Zoom

Star pattern

Draw Hankin star lines

Contact

Offset

Width

RibbonsWovenAnimate

Rays leave each edge midpoint at the contact angle and meet their neighbours inside the tile (Hankin’s method). Woven ribbons pass alternately over and under.

Export

Edge (mm)