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In our terms, Vanilla Ice Cream is a polyhedron with five vertices bound together by an indivisible 5-ary relation. This can be written as Vanilla Ice Cream = ⟨Cold, Sweet, Vanilla, Softness, Yellow ⟩ ̸= ⟨ Cold ⟩ + ⟨Sweet⟩ + ⟨Vanilla⟩ + ⟨ Softness⟩ + ⟨Yellow⟩ with the “Gestalt” construct of Vanilla Ice Cream represented by a polyhedron with five vertices. 7 illustrates the distinction between an unrelated set of vertices and the “Gestalt” polyhedron. It also illustrates the difference between a polyhedron with five vertices embedded in a 4-dimensional space and a networktheoretic clique embedded in 2-dimensional space in which every vertex is connected to every other by a 1-dimensional link.

Ketchup fried bread sausage waistcoat s ✪❡ ✪ ❡ ✪ ❡ s✪ ❡s jacket trousers (a) The Full Monty (b) English breakfast Fig. 6 Examples of simplices The phrase “The Full Monty” has come to mean “complete” or everything that could be expected. It is said to come from the Montague Burton tailoring chain which hired three-piece suits to men getting married ⟨jacket, trousers, waistcoat⟩ (Fig. 6(a)). Another, less likely, explanation is that it comes from the full English breakfasts General Montgomery recommended for his troops ⟨egg, bacon, sausage, fried bread, baked beans, mushrooms, tomatoes, ketchup⟩ ((Fig.

2 The Dual Berge hypergraphs Let R be a relation between A and B. Let the notation a R b mean that a is R-related to b. Let R(a) = {b | for all b in B with a R b} and R(b) = {a | for all a in A with a R b}. In general a relation R between sets A and B has two associated hypergraphs, HA (B; R) and HB (A; R), defined as follows: def HA (B; R) = {R(a) | a in A), def HB (A; R) = {R(b) | b in B). As an example let A = {London Bus, London Taxi, Postbox} and B = {red, black, big, small, wheels, slot, metal}.

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