# Mathematics

## On Display

Set of 7 assembled cardboard geometrical models on wooden stands showing the surfaces of the second order.

A single surface model made in glass by Alan Bennett in Bedford, 1995. It consists of a Klein bottle with three loops, one of which has been cut away and sectioned to form a pair of single twist Mobius strips. A Klein bottle is a surface which has n

A single surface model made in glass by Alan Bennett in Bedford, United Kingdom. It consists of a Klein bottle with three inlet tubes, one of which has been cut out and sectioned to produce a pair of single twist Mobius strips. A Klein bottle is a su

A single surface model made by Alan Bennett in Bedford, 1995. It consists of a parallel-sided coil with remote return tube with the inlet and singularity at the same end, which when theoretically cut gives a pair of 17-twist Mobius strips. A Klein bo

Hyperboloid of one sheet with its asymptotic cone; the tangent plane to the cone is also drawn.This is one of a large set of ruled surface models made by Fabre de Lagrange of Paris in 1872, following designs introduced in the early 19th century. They

Elliptic trammel by Stanley, 1876. Trammels were used for curve drawing from the Rennaissance until the use of computers made them obsolete.

Plaster model of the surface z = 3a(x2 - y2) - (x3 + y3). Alexander Crum Brown was both a mathematician and chemist. He was a prolific maker of mathematical models. In this example, every section made by a plane passing through the blue line forms an

Harmonographs demonstrate the action of two pendulums acting at the same time at right angles to each other.

A circular engineer's slide rule made by Apps, c.1870. A circular slide rule affords a long and therefore accurate logarithmic line in a small amount of space. The potential of circular rules was not really utilized until the Victorian period, when s

Model of a half-twist surface. Alexander Crum Brown (1838-1922), who was professor of mathematics at Edinburgh, was a prolific maker of mathematical models. This one is related to the Klein bottle and Mobius strip.