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 Finchampstead
 House Design
 Size and Distance Effect
 Numerical Separators
 Round and Sharp Numbers
 Graham’s Maze Game: TestFlight Help
 Königsberg Bridges
 Weber’s Law
 Baboon Counting Algorithms
 Place Value
 Jevons’es Data
 Shooting Baboons: A Story
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 Counting Cormorants
 Otto Koehler
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 Counting Ants
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 Spatial Representation of Number
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Author Archives: Graham Shawcross
Finchampstead
BACKGROUND This post recreates the report issued for the opening of the Gorse Ride Housing Estate Finchamptead by Mr Peter Walker Minister of Housing and Local Government on 17th July 1970. The estate was designed by the Ministry’s Research and … Continue reading
House Design
This post adds extra information to part of an earlier post “Severely Constrained Design”. The Scottish Special Housing Association (SSHA) and the Edinburgh University Architectural Research Unit (ARU) developed a Computer Aided Design program, called House Design. (Bijl et al., … Continue reading
Size and Distance Effect
The Distance Effect In whatever way they are presented, it is easier to compare two magnitudes that are quantitatively further apart, than it is to compare two magnitudes that are quantitatively closer together. This is the distance effect. Figure 1: … Continue reading
Posted in Architecture, Brain Physiology, Design, Illusions
Tagged Architecture, Brain Physiology, Design
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Numerical Separators
With a base 10 place value number system, Britain and America use the period as the radix symbol, to separate integers and decimals, and use a comma to separate groups of digits; for example, they would write 3,200,100.56 Other Europeans … Continue reading
Posted in Aperiodic Tiling, Architecture, Classification, Enumeration, Logic
Tagged Classification, Enumeration, Logic
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Round and Sharp Numbers
“Don’t interrupt,” Bruno said as we came in. “I’m counting the Pigs in the field!” “How many are there?” I enquired. “About a thousand and four,” said Bruno. “You mean ‘about a thousand,’” Sylvie corrected him. “There’s no good saying … Continue reading
Königsberg Bridges
Background The great Swiss mathematician Leonhard Euler, who had been asked by the Mayor of Danzig to provide a solution to the Königsberg Bridge problem, sent him this disdainful reply: “. . . Thus you see, most noble Sir, how this type of … Continue reading
Posted in Architecture, Enumeration, Geometry, Logic
Tagged Architecture, Design, Enumeration, Geometry, Logic
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Weber’s Law
Weber’s Law expresses a general relationship between an initial stimulus, a quantity or intensity, and the increased stimulus required for a change in the stimulus to be detected. The task is to tell apart, or discriminate, two things that differ … Continue reading
Posted in Architecture, Brain Physiology, Embodiment, Enumeration
Tagged Architecture, Brain Physiology, Embodiment, Enumeration
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Baboon Counting Algorithms
Human counting can be thought of as a kind of condition controlled logic where counters increment a sequence of labels “one, two, three four…” until some condition is met. (Cantlon et al. 2015) The diagram below illustrates some, but not all, … Continue reading
Posted in Architecture, Brain Physiology, Enumeration, Logic
Tagged Architecture, Brain Physiology, Enumeration, Logic
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Place Value
Laplace “The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its significance and profound importance … Continue reading
Posted in Architecture, Classification, Enumeration, Logic
Tagged Architecture, Classification, Enumeration, Logic
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