Inactive X chromosome

More mathematical modelling

Mathematical modelling takes many forms (Cundy and Rollett, 1981). In the last ten years a plastic modelling kit, Zome, has provided a versatile and easy way to construct polyhedral models, for people of all ages.

A Zome hands-on workshop was included in this year's annual Bridges Conference on: Mathematical Connections in Art, Music, and Science, held in London. Michael Green, Division of Mathematical Biology, joined thirty other enthusiasts, led by Daniel Duddy, Paul Hildebrandt and Samuel Verbiese, and helped to create a 3D shadow of a 4D polytope (a truncated 120 cell) from 21,000 Zome components. Some images from the workshop are shown below.

Zome 03
Zome 02

Hanging of the Truncated 120-Cell

The model below can be seen in the entrance hall of the London Knowledge Lab, a department of the London University Institute of Education.

Originally it was standing on the floor, but it became distorted under its own weight. It is now suspended 50cm above the floor by twelve lengths of kite line (Dynema) attached to the rim of cycle wheel. Vertical internal lines prevent distortion. The main symmetry axes are approximately at eye level and provide fascinating perspectives of the internal structure.

Hanging of the Truncated 120-Cell

1. View down one of the ten threefold axes, showing the model supported on a scaffold prior to suspension.

Hanging of the Truncated 120-Cell

2. View down one of the twelve fivefold axes.

Hanging of the Truncated 120-Cell

3. View down one of the fifteen twofold axes.

Hanging of the Truncated 120-Cell

4. View of the underside (another twofold) through a fisheye lens.

References

  • H.M. Cundy and A.P. Rollett (1981)
    Mathematical Models, Third Edition
    Tarquin Publications

External links

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