Lissajous Vase and Flowers

This is the application of Lissajous* figures utilising the interaction of two perpendicular sinusoidal waveforms to create 3D artistic forms for home decoration in the shape of a vase and flowers.

The outer area of the vase is an open void framework of vertically orientated curved elements arranged in a circle with a hollow cylinder forming the cavity. 
The flowers again use an open void framework of curved elements however, the orientation is horizontal and at a point on the circumferance a horizontally orientated stem is added. 

These models were created using BlocksCAD which allowed the mathemetical creation and manipulation of Lissajous figures to create the basic forms to which elements are added or removed.

Flowers (real or faux), can be displayed in the vase and the cavity will accept a variety of Floral WaterTubes to support real flowers (singular or in small groups), if required. Negating the requirement to ensure that the model is watertight.

The following are examples of Floral water tubes that can be used:

1. Acrylic Clear 24(lip) x 1.7(tube) x 120(long) mm (protudes a little above the vase top)

2. Transluscent Plastic with lid 19(lip) x 110(long), lid 24(dia) mm (sits beneath the level of the vase top without the lid, sits on the rim of the cavity if the lid is fitted)

No affiliation to suppliers or products feel free to use your own preferred sources.
Links valid at the time of publication.

*Lissajous figures named after Jules-Antoine Lissajous (Also known as Bowditch Curves after the initial work of Nathaniel Bowditch), who devised a method to study compound vibrations. Originally employing pendulums, tuning forks and optical methods. Reflecting light from mirrors on two tuning forks vibrating at right angles will display Lisssjous figures as will other devices such as Harmonographs and Pantographs.

Vase
Size: 64.5(dia) x 154.5(H) mm
Weight: 177g
Cavity: 23(dia) x 118(H) mm

Medium Flower
Size: 51(W) x 246(L) x 2(H) mm
Weight: 4g

Large Flower
Size: 77(W) x 251(L) x 2(H) mm
Weight: 6g

Print Details
Filament: Vase - PLA orange, Flowers - PLA yellow, white blue & red (colours subject to used preference).
Layer Height: 0.15 mm
Infill: 100%
Build Adhesion: Skirt
No supports

• Flowers can be printed with default settings

• Orientated diagonally on a (225 x 225 mm ) bed to maximise length.

• Vase specific options

• Speed: 150 mm/s

• Avoid parts when travelling

• Z Hop over printed parts

Parts orientated for printing directly.

Post Processing
Minimal

Flower Arranging
Different colours and quantities of faux flowers can be printed subject to user taste; (single flower, multiple flowers in single or multiple colours).
Simply trim the length of the stems to create tiered arrangements.
The position of the arranged flowers may be maintained using a plug of floral foam or material of similar properties alternatively bound in position with wire.