Sketchplanations
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Explaining the world one sketch at a time

Sketchplanations makes complex ideas simple with clear, insightful sketches. Explore topics from science, creativity, psychology, and beyond explained in pictures.

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Learn something new in a sketch each Sunday

Recent sketches

Fix wobbly tables by rotating illustration: a puzzled character considers how to prevent their 4-legged table from wobbling. Instead of popping something under one of the legs, they're encouraged to try rotating it. It's worked, and they celebrate with a glass of something cold!

Fix wobbly tables by rotating

Since I learned this remarkable trick I actually find I quite like getting a wobbly table for the chance to retest this simple, and still kind of remarkable, fix. A number of smart people have spent probably more time than justified demonstrating that, for a four-legged table with even length legs on uneven ground, as long as the ground is not excessively bumpy you’ll be able to fix your wobble by rotating the table up to ¼ turn. Now, it’s definitely true, that if you have a square table, not a round one, or, say, two square tables next to each other, it’s not always possible to start rearranging the café, but…when you can it’s really neat to see it work. Give it a try. HT: Iqbal Gandham
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Square cube law illustration with volume increasing faster than length and an elephant, an ant carrying a giant leaf and a child on the monkey bars as examples

The Square-Cube law

For years, I’ve wondered at how as a kid I found the monkey bars in a playground (often a jungle gym in the US) so much easier to swing on than I do as an adult. And I see our kids swinging around easily on them, while now it’s hard for me just to hang off them. The reason why is partly to do with the square-cube law. The square-cube law is the deceptively simple observation that as you scale up dimensions — say, as you get taller — then area of the object increases proportional to the square of the length, while volume increases proportional to the cube of length. This fundamental relationship has enormous significance in the sizes and shapes of animals and the limits of how big trees can get and how big we can build our bridges and buildings. Because the strength of our bones, muscles or wooden beams is proportional to their cross-sectional area, this means that while the strength of a larger object, assuming the same proportions as the smaller one, increases according to the square of a length, the weight (from the volume it takes up) increases according to the cube of a length. So, relative strength decreases as size increases. Some corollaries are therefore that children’s small size relative to the area of their muscles and bones makes them relatively stronger than adults and so they can more easily support their weight as they swing on the monkey bars. In the same way, press ups are harder for bigger people than they are for smaller. And while an ant has tiny spindly legs, those legs could easily support 50 other ants of its size, whereas for an elephant to support its own weight it needs chunky legs — not spindly ones — and there’s no chance it could get close to carrying 50 other elephants on its back. It’s also part of the reason short trees can be spindly, but big sequoias have relatively chunkier trunks, and we need increasingly strong materials to build bigger and bigger skyscrapers compared to the shed in your garden. Galileo discussed this back in 1638, and it still requires some getting your head around today. For this and other fascinating insights of scaling check out Scale, by Geoffrey West. Also see: Buoyancy
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Pour, don't dip when sharing snacks illustration: on the left the snack sharer seems sad that their friend has plunged their hand into their open snack packet. On the right, they're a lot happier to share by pouring snacks from the packet into their friend's open hand.

Pour, don’t dip when sharing snacks

Pour, don't dip when sharing snacks was something I learned for backpacking but it really always makes sense once you think about it. Pouring onto a hand keeps dirty hands out of the rest of the snacks in much the same way as a drinking fountain manages to be hygienic by shooting out the water. Some alternative sides to sharing: Compliments are gifts Give gifts others can give And two more about germs: Sneezes and coughs Dracula sneeze
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A little bit of slope makes up for a lot of Y-intercept illustration: on a line graph, a red line starts well below the blue line, but over time, it overtakes and surpasses the blue line because it has slightly more gradient to it.

A little bit of slope makes up for a lot of y-intercept.

— John Ousterhout I like this simple idea that evidently illustrates that anything that is able to improve, learn, and grow at a faster rate than something else stands a decent chance of making up lost ground pretty quickly. Consider this when you’re hiring, or when you’re worried that some other person or company has got a headstart on knowledge. Position yourself always as the fastest and most persistent ‘improver’ and you’ll stand a chance whatever you’re doing. Read the full story of Stanford Professor John Ousterhout’s thought for the weekend: a little bit of slope.
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The Implicit Association Test illustration: using gender roles as an example, we are asked to sort Career words into a Men's column and Home/Family words into a Women's column. We are then asked to do the opposite. One's bias is calculated as the difference in time it takes to complete both tasks.

The Implicit Association Test

The Implicit Association Test (IAT) is an amazingly simple way to uncover if and how strong your implicit biases may be. For example, you could test if you have a bias on gender roles (as in the sketch), race, religion or in fact any attitudes you may have. You could forget about reading this and simply go take the Implicit Association Test online now and you’ll get the idea and perhaps surprise yourself. In the example I gave in the sketch, you could see how strong your biases are for traditional gender roles by measuring the difference in time it takes to sort first career words towards men and home and family words towards women, and then sorting the other way around. It’s fascinating, and a little uncomfortable, to see your implicit attitudes so clearly come to light. Don’t forget to try taking a test.
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Forest bathing illustration — shinrin-yoku

Forest bathing

I love this term. From the Japanese shinrin-yoku, it means to soak in the atmosphere of a forest. And I think it’s not too far of an overstatement to say that a walk in Nature is about the closest to a miracle cure we have. There appear to be myriad benefits from simply spending time in Nature. As my sister put it, if it was a drug we’d be prescribing it. Though we didn’t call it forest bathing at the time it’s definitely some of my happiest memories, like here, here, here, here, and here.
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