Sketchplanations
Big Ideas Little Pictures

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Explaining the world one sketch at a time

Simplifying complex ideas through fun and insightful sketches.

A weekly sketch by email

Learn something new in a sketch each Sunday

Recent sketches

Imposter Syndrome illustration: even as an appreciative audience applaud, an award recipient at the rostrum on stage questions whether they actually deserve this recognition.

Imposter syndrome

Ever had that feeling when people said "well done" or "thank you" for what you did, that you didn’t deserve it? It’s called imposter syndrome. It’s a pernicious and pervasive feeling of doubting your accomplishments and fear of being exposed as a fraud — at any moment, everyone will wake up and realise you aren’t so great after all. My thoughts: Hang in there, keep trying your best, stay humble, and don’t take things too seriously. And accept compliments.
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Plogging illustration: a happy jogger runs along with a bin bag in hand. Whenever they see litter, they stop to pick it up and pop it in the bag.

Plogging

Plogging—from the Swedish plocka upp (pick up)—is the simple combo of picking up litter while out jogging. Litter in our environment is all our responsibility, and I’m still surprised by how much impact a small effort can make on tidying up a place. Plogging gives the multiple gratification of making your local area nicer and helping out Nature while getting a decent workout and some fresh air to boot. Maybe combine it with these other jogging sketchplanations: Fartlek London running kit Clingfilm your keys Run further, or, heck, swimrun for the adventurous or There is no away
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The Trust Equation illustration: set out as a mathematical equation, we understand that the trust we have in someone professionally is proportional to how credible they are in their field, how dependable they are and how safe you feel around them. That trust is inversely proportional to how self-orientated they are.

The trust equation

What is the trust equation and what makes you trust someone in a professional context? I liked this simple equation by Charles Green, which makes it a combination of how credible, reliable, and how intimate — or how safe you feel with that person — divided by the self-orientation of the person — are they focused on their interests, or simply paying more attention to themselves vs being genuinely interested in you and your success. Depending on how you scored this abstract model, I guess that would mean that trust is either undermined by someone focusing on their own interests or strengthened the more they are focused on yours. More at Trusted Advisor. Also see: The most beautiful equation HT: Buzz Pearce
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Tax Freedom Day illustration: a year-long scale from January to December shows how long into the year it takes for different countries to cover the bill for public services through income tax. After that point, the money you earn is for you to spend however you like.

Tax freedom day

If you took all the taxes a country pays each year on one hand, and all the money that people earn on the other, tax freedom day represents the day after which the country’s taxes would be paid by its citizens and the remaining earnings free to spend as they wish. It’s a national average as each individual’s tax freedom day would be different, though in principle you can calculate your own. Given taxes vary between countries, each country has a different tax freedom day — though it’s not easy to compare as calculations tend to differ. In the US it’s calculated by the Tax Foundation.
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Factfulness: A world of 4 income levels explained — beyond developing and developed countries

A world of 4 income levels

I grew up with the idea that there are developed countries and developing countries. There was the ‘rich’ world and the ‘poor’ world. I didn’t actively consider it. It’s just always been there. And it’s wrong. In his excellent book Factfulness, Hans Rosling shows that wealthier countries tend to have smaller families and a low child mortality rate. In contrast, poorer countries are more likely to have larger families and a high child mortality rate. Plotting the spread of countries in 1965 gives a reasonable approximation of a cluster of ‘developed’ countries with small families where most children survive and a cluster of ‘developing’ countries with larger families where more children die. But that was in 1965. The world has changed a lot since then, and that model of dividing the world into two buckets no longer holds true with the data. Most people in the world are somewhere in the middle. And more helpful than dismantling my worldview was providing a new model to replace it: a model with 4 income levels instead of 2 and the number of billions of people living at each level. It’s a model with most people somewhere in the middle. For more, check out the Factfulness book, or Gapminder. And you could do much worse than watch Hans’ entertaining TED talk: the best stats you’ve ever seen. Also see: The destiny instinct
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The 3 Tallest Mountains illustration: on the left, Mount Everest is measured from sea level. In the centre, Mauna Kea is measured from its base (well below sea level) to its summit. On the right, Chimborazo is located near the equator where the earth bulges making its summit the furthest from the centre of the earth (and hence closest to the sun).

The 3 tallest mountains

Everyone knows Everest is the highest mountain at a colossal 8,848m above sea level. But, depending on how you’re measuring, there are two other candidates for tallest mountain. Mauna Kea is a volcano on the big island of Hawaii. In fact the whole island is made from volcano, so as a peak it rises from the base of the Pacific ocean to over 4,200m above sea level. Including the part of the mountain that rises from the sea bed it is over 10,000m tall. Mt Chimborazo can also lay a claim to the tallest mountain. The Earth is not a perfect sphere — it bulges around the Equator meaning that points on the Equator are several kilometres further from the centre of the Earth than points further North or South. A bulging around the centre is a common shape for a spinning sphere due to the force exerted by the spinning. Sitting almost exactly on the Equator means that Chimborazo’s already enormous 6,263m from sea level makes its summit the furthest point on the Earth’s surface from the centre of the Earth. I’m not totally sure if that means that at some point Chimborazo’s summit makes it the closest point to the sun, but it definitely sounds plausible!
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