Aqua Sphere

Other names for this Geometry

Icosahedron

Building an Aqua Sphere

To build a Aqua Sphere, you need 12 Aqua Sphere Vertexes (see image below), along with 30 pipes of equal length (that fit around the Vertex connectors tightly) to create the edges.

Useful Maths

Determining the required length of side for a given height of an Aqua Sphere
When an Aqua Sphere is resting on one of its faces

When an Aqua Sphere is resting on one of its faces, the height of the Aqua Sphere is equivalent to the diameter of an inscribed sphere (tangent to each of the Aqua Sphere's faces).

So for a given height of an Aqua Sphere, the length of the side of the Aqua Sphere is found using the formula :-

Aqua Sphere Side Length = (height / 2) / 0.7557613141

When an Aqua Sphere is balanced on one of its Vertexes

When an Aqua Sphere is balanced on one of its vertexes, the height of the Aqua Sphere is equivalent to the diameter of a circumscribed sphere (one that touches the Aqua Sphere at all vertices).

So for a given height of an Aqua Sphere, the length of the side of the outer Aqua Sphere is found using the formula :-

Aqua Sphere Side Length = (height / 2) / 0.9510565163

Files for use with 3D editing packages and 3D printers

Aqua Sphere Pipe Connector

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