Author Archives: Graham Shawcross

About Graham Shawcross

Architect PhD student at Edinburgh University Interested in order, rhythm and pattern in Architectural Design

Size and Distance Effect

Posted on November 19, 2022 by Graham Shawcross

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 →

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Numerical Separators

Posted on November 1, 2022 by Graham Shawcross

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 →

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Round and Sharp Numbers

Posted on October 30, 2022 by Graham Shawcross

“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 →

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Graham’s Maze Game: TestFlight Help

Posted on October 8, 2021 by Graham Shawcross
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Königsberg Bridges

Posted on March 7, 2016 by Graham Shawcross

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 →

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Weber’s Law

Posted on November 18, 2015 by Graham Shawcross

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 →

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Baboon Counting Algorithms

Posted on October 2, 2015 by Graham Shawcross

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 →

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Place Value

Posted on September 24, 2015 by Graham Shawcross

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 →

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Jevons’es Data

Posted on September 15, 2015 by Graham Shawcross

In 1871 the early economist and logician William Stanley Jevons published an article in Nature “The Power of Numerical Discrimination” (Jevons 1871) According to Jevons, Sir William Hamilton had clearly stated the problem: “Assuming that the mind is not limited to … Continue reading →

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Shooting Baboons: A Story

Posted on August 7, 2015 by Graham Shawcross

If a man with a gun goes to shoot baboons near the edge of a forest, the baboons will see him coming, hide in the forest and not come out until he is seen to go away. If the first … Continue reading →

Posted in Architecture, Brain Physiology, Camouflage, Enumeration | Tagged , , , | 2 Comments