Accession No

1251


Brief Description

Frost’s Magic Cube of 9, designed by Reverend Andrew Hollingworth Frost, English, 1877 (c)


Origin

England; Cambridge


Maker

Frost, Andrew Hollingworth


Class

mathematics


Earliest Date

1877


Latest Date

1877


Inscription Date


Material

wood (ebony); glass; paper (two types)


Dimensions

length 289mm; breadth 286mm; height 270mm


Special Collection


Provenance

On loan from St. John’s College, University of Cambridge from 1951.


Inscription


Description Notes

Frost’s Magic Cube of 9, designed by Rev. A. H. Frost, English, c. 1877.

Turned square ebony base carries glass cube (edges covered with gold paper) which contains 7 glass plates. Each plate, together with the back and front of the cube carries 81 numbers, printed on paper, arranged in 9 rows of 9 columns. Each position on the grid has two numbers, one facing in each direction. These numbers run from 1 to 729, but not in a standard order.

Complete.


References


Events

Description
This model demonstrates the mathematical concept of a ‘magic square’, in which the numbers in any row across, column down, or diagonal of the square all add up to the same number. This cube, devised by the Rev. A.H. Frost (1819-1907), carries this idea into three dimensions, so that rows through the cube also sum to the same total. In addition, this cube has numbers on both sides of the glass sheets, one side using consecutive numbers 1 to 729, the other non-consecutive numbers 1 to 889. Both layouts are “perfect” magic cubes, so that every row, column, and pillar parallel to the cube’s edges sums up to the same figure (3285 for the consecutive side and 4005 for the non-consecutive side), as do the diagonals on every 9 x 9 orthogonal slice as well as the four triagonals that run between the opposite corners of the cube. The Rev. Frost worked on the solution to these mathematical puzzles whilst working as a missionary in India in the late nineteenth century. Glass models of various different magic cubes by Frost were made for display at the London Science Museum’s precursor, the South Kensington Museum. This model, which represents the first known solution to a perfect, pandiagonal, associated cube of order 9, was likely the possession of his brother, Percival Frost, also a mathematician and a fellow of St. John’s College, Cambridge.
04/12/2013
Created by: Joshua Nall on 04/12/2013


FM:44651

Images (Click to view full size):