Polyomino 3 - Yu Zhao

Portfolio Polyomino 3 - Chroma Yu Zhao

Space Filling Geometry

Variat

Pattern #1

Fig.1 The Bisymmetric Hendecahedron

Fig.2 The hendecahedron form interlocking hexagonal “boat” shapes.

Fig.3 One layer (dashed) over another, showing the center of each translation unit.

Fig.4 A general stack

The polyhedron we use shown in Figure 1 has two planes of symmetry, i.e. it is bisymmetric. This hendecahedron also has eleven vertices; polyhedra with the same number of faces as vertices are not very common. It has 2 large rhombic faces, a small rhombic face (which in the proportions used here is square), 4 congruent iscosceles triangular faces which meet along edges at right angles, and 4 congruent kite-shaped faces. Figures 2 and 3 shows how four hendecahedra together form a kind of hexagonal boat shape which will stack in interlocking layers. This boat shape is also a ‘translation unit’ - it can be regularly stacked in a lattice to fill space, without any rotation or reflection. This lattice is similar to the body-centred cubic, but scaled vertically by a factor which is here one-half (but see below). In Figure 4 the way the hendecahedra themselves stack together to form a space-filling ‘honeycomb’ can be seen.

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Pattern #1

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Pattern #2

Polyomino 3 Team Chroma Team: Yuchuan Chen, Jiawen Ge, Qian Liu, Yu Zhao Instructor: Jose Sanchez.

Elevation

Section

Plan

Construction Method Shelter Connection Piece

Granular Base

Plain Condition

Granular Columns

Connection Piece

Granular Columns

Granular Base

Plain Condition

Support