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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

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What is isometric projection drawing technique explained with an example of the Bauhaus Dessau building

Isometric projection

Isometric projection is a simple way to draw 3D shapes. The meaning of isometric is "equal measure," from the Greek words iso- for equal and metric for measure. So, in an isometric drawing, all three axes, x, y, and z, are scaled equally, giving a clear, undistorted view of an object in three dimensions. Except that isometric drawings can look a little odd and oversimplified. This is because of the lack of perspective, a visual distortion of 3D shapes we experience in the real world. In a perspective drawing, parallel lines converge in the distance towards a vanishing point, but in an isometric drawing, parallel lines stay parallel, and sizes don't get smaller in the distance. The lack of perspective in an isometric view can make it look artificial, but it always looks clear. I learned isometric drawing when studying engineering. Armed with a stack of isometric paper with a printed isometric grid, we had to reel off exercises involving drawing isometric views of 3D objects. And isometric projection is really handy for this. It can take a long time to build the skills to sketch a realistic 3D-looking object, perspective and all, but with isometric paper, you can quite quickly produce something that communicates to you or others what's in your head or on the workbench. Isometric projection is handy for boxy shapes—I chose an approximation of the Bauhaus Dessau building by Walter Gropius to show it. If you need curves and angles, just like with perspective drawings, it can help to draw more boxes around these areas and use them to align your curves and meeting points for your lines. Isometric views and their variations have had somewhat of a resurgence of late in video and board games. It turns out they're pretty helpful in map-based or city-building games such as Zynga's Farmville, Civilisation, or Sim City as the isometric view allows all parts of a scene to be viewed equally—in the distance or up close—while still seeing every detail in, say, a building, wherever it is. If you want to try some isometric drawings, making your own isometric grid paper is easy. Just draw equally-spaced vertical stripes and then a criss-cross of lines in both directions at 30 degrees from the horizontal. This gives a host of equilateral triangles and an easy base to start drawing your 3D objects. Or just download some templates online. You'll find that building up more complex shapes out of cubes is dead simple if you keep to the lines on the isometric grid. Just as in the drawing here, sometimes shapes drawn in isometric view lend themselves to curious optical effects. The lack of perspective can make the difference between heights and depths ambiguous. So, you can't always tell if two surfaces are at very different heights or if one is in the distance. The brilliant puzzle game Monument Valley uses this quirk of isometric projection to create mind-bending puzzles that are well worth a try. For instance, rotating a high surface can suddenly make a platform that extends far into the distance 🤯. Isometric-like projection can also help make impossible shapes, such as the Impossible Staircase, or Penrose stairs. Another type of projection, anamorphosis, creates a drawing that only looks correct from a particular viewpoint. Anamorphosis leads to some remarkable street art. Also see: 2.5D objects, including an old video of me drawing a sketchplanation Orthographic projection One-point perspective Two-point perspective Three-point perspective Atmospheric perspective Anamorphosis The Impossible Staircase, or Penrose stairs When drawn nice and faint, the isometric grid is an example of a ghost grid Isometric projection is quite the opposite of "draw what you see, not what you think." Foreshortening can be hard to get the hang of. Life is 3D—give edges thickness
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What is the Fight or Flight response example with someone deciding to fight, flight or freeze from a snake

Fight or Flight

The fight-or-flight response is our body's automatic and ancient response to perceived threats or danger. This innate physiological response in animals and humans prepares us to either confront a threat (fight) or flee from it (flight). This mechanism, often referred to as entering fight-or-flight mode, likely played a critical role in our survival. Face to face with a tiger At the annual Wildlife Photographer of the Year Awards, I saw an astonishing photo of a tiger surprising workers in a field (Tiger Run by Nejib Ahmed). Everyone is in flight mode except one man, much braver than me, who perhaps through instinct has stood to fight, staring down the approaching tiger with a long stick. The photo is captivating in its drama and struck me as a perfect fight-or-flight example in action. Thankfully, no one—including the tiger—was hurt in this instance. The adrenalin that can flood our bodies during such moments may sometimes give us strength to do what we didn't expect, surprising ourselves with what we are capable of—Nicola Morgan, when discussing the amazing teenage brain, gives an example of her leaping a 5ft fence and looking back with amazement. Sudden strength or speed like this is a well-known fight-or-flight symptom. Reptilian brain, Lizard brain The fight-or-flight response is linked to theories about how different parts of the brain developed during our evolution. Modern research has corrected some aspects of this idea, but the basic concept remains. The most primitive parts of the brain—those we may share with, say, dinosaurs—are responsible for automatic behaviours like protecting territory, aggression, fear and fending off danger. This is often referred to as the reptilian brain or lizard brain. These brain areas are key to our survival instincts and play a critical role in activating fight-or-flight mode. Years of evolution since then have given us brain structures like the limbic system, which is responsible for our emotions and social behaviours. The amygdala, part of the limbic system, is especially important in triggering fear and the fight-or-flight response. Later, the neocortex evolved, enabling humans to assess threats rationally, solve problems, and make decisions—giving us more control over how we respond to fear or anxiety. The fight-or-flight response, also illustrated by the snake rearing up in the sketch, is a fallback to our oldest instincts from the oldest parts of our brain when faced with a threat, so the theory goes. Freeze, Flight, Fight, Fright Fight-or-flight psychology, coined by physiologist Walter Cannon in 1915, is only part of a broader spectrum of acute stress responses. A more accurate sequence we experience may be freeze, flight, fight, or fright. Freeze: Our immediate reaction to danger might be to "stop, look, listen," remaining hyper-vigilant while we assess the threat, and perhaps hope by not moving, the dinosaur won't spot us. Flight: We may flee the situation to safety. Fight: If escape isn't possible, we might fight back, as shown by the brave individual in the tiger photo. Fright: This might include panic and immobility, playing dead in case a predator decides we're not worth eating after all. As you see, the updated list continues with excellent alliteration, which no doubt helped make the idea sticky in the first place (other proposals add fawn, faint, flock and more). When Fight-or-Flight Doesn't Help While the tiger scenario shows our ancient brain instincts at work, most modern-day situations don't involve life-or-death threats. However, we may still enter fight-or-flight mode during stressful, anxiety-inducing moments, such as public speaking, a challenging work interaction, or a difficult conversation. In these cases, the fight-or-flight response may not serve us well. The same ancient brain that would help us survive a predator may now cause us to avoid daunting tasks. Whether it's a work presentation, a cold sales call, or confronting a personal issue, we may feel the urge to retreat from the action and get a snack from the kitchen instead. When our ancient instincts—so finely tuned for survival—are no longer serving us in modern situations, it's helpful to pause and let our higher-order thinking take the lead. Techniques like box breathing or meditation help calm the body and mind, allowing us to move beyond fear and resistance. By doing so, we can overcome the automatic urge to "fight or flight," or even freeze or fright, and instead respond with clarity, control, and confidence. Also see: Box breathing The spotlight effect Don't make important decisions on an empty stomach Cognitive overhead See Big Ideas Little Pictures for Melissa Dahl's Awkwardness Vortex and the technique of reframing anxiety as excitement
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Leading from any chair, the fifth practice from The Art of Possibility by Benjamin and Rosamund Zander. From Eugene Lehner's story: What would I say should I suddenly be called upon to lead?

Leading from Any Chair

Leading from Any Chair is the idea that we all have the opportunity to influence the action even when we're not standing at the front. It's a principle for effective leadership and teaching yourself and others to lead. The Art of Possibility In their inspiring book, The Art of Possibility, Benjamin and Rosamund Zander relate a story from renowned violist Eugene Lehner, who played in the Kolish Quartet and Boston Symphony Orchestra. One day, in an interpretation class led by Zander with Lehner as a guest coach, Ben Zander asked him, "How can you bear to play day after day in an orchestra led by conductors, many of whom must know so much less than you?" Lehner said he was playing in a rehearsal in his first year in the orchestra when the conductor, Koussevitsky, struggled to lead the orchestra as he wanted through a tricky Bach piece. A friend of Koussevitsky and fellow conductor, Nadia Boulanger, was sitting in on the session. Koussevitsky stopped and asked if Nadia would conduct the passage so he could hear what it sounded like from the back of the hall. Nadia conducted the passage without a hitch, and the rehearsal continued. But the episode left Lehner ever wondering and waiting for the moment when a conductor might say to him, "Lehner, you come up here and conduct. I want to go to the back of the hall and hear how it sounds." "It's now 43 years since that happened," said Lehner, "and it is less and less likely that I will be asked. However, in the meantime, I haven't had a single dull moment in a rehearsal as I sit wondering, 'What would I say to the orchestra, should I suddenly be called upon to lead?'" Stepping up to lead There are many occasions when I have personally grappled with whether now is the moment to step up and lead. Sometimes, I have taken them. Other times, I feel ashamed that I sat back and let events unfold without contributing. It's the easy path to defer to whoever's leading and consider that there may be better times to influence or say what you think needs to be said. Or you can take the view that we're all responsible in some way for what we're experiencing, and we all have the opportunity to influence for the better. You don't have to be the captain on the field to influence your fellow players. A typical example I've experienced is seeing a presenter struggle in a meeting, perhaps with technical difficulties or audience confusion. It may take only a little to try and help with the tech or to ask the presenter to explain a point that you see needs to be clarified for people. Or, as an audience member, you can sit back and consider it not your problem. Once, in the middle of a performance at a wedding, the music suddenly clicked off for the performer. Immediately picking up on the problem, the wedding photographer started singing the melody, picking up where the music left off. Getting the idea, all the guests joined in, continuing the music to the end. This quick intervention undoubtedly led to a better show for everyone, including the performer. Learning to lead When you choose to step up, it's an opportunity to learn to lead. You may discover that there's more to leading than it seems and gain empathy for the leaders around you. By constantly asking myself, "What would I say should I suddenly be called upon to lead?" I am mentally rehearsing for when I am needed, for when I am in the position of a leader. It speeds up my learning and keeps me always ready for action. It's one reason why always thinking of questions at a talk or conference is valuable. It forces you to engage with the material, and when the opportunity arises, you're ready to step up and ask about what matters to you or what everyone is thinking. Identifying passion and the leaders in front of you As a leader, if you believe you are superior, for example, as the conductor who doesn't consider the orchestra members to have anything to contribute to the interpretation of the music, then you are likely to suppress the voices of the very people you need to deliver. People want to contribute—that's why they attended the class, joined the company, or trained in their discipline. Rosamund Zander advises that, as a leader, we can train ourselves to spot the passion of the people in our teams. We can actively look for occasions to allow team members to lead. And if we don't see the passion, we can ask ourselves, "Who am I being that they are not shining?" Leading from Any Chair We can learn to lead at any time. So the next time you're just one in a crowd, consider that you can lead from any chair. Ask yourself, "What would I say if I were suddenly called upon to lead?" -- In case it wasn't clear, I highly recommend The Art of Possibility, which I listened to as an audiobook read by Benjamin and Rosamund. And I always recommend finding 20 mins to watch Benjamin Zander's classic TED talk, The Transformative Power of Classical Music. Left-buttock playing is a sketch I've been planning for a long time. Also see: Ask the question at talks Mindmap at conferences Push authority to information The Responsibility Poem: Whose job is it? The accountability ladder What drives us: Autonomy, Mastery, Purpose This is the last time I plan to draw an orchestra. I now know a little of what it must feel like to draw Where's Wally?
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Eponym examples, explanation and etymology explained in a sketch with Erno Rubik of the Rubik's Cube, the Jacuzzi brothers, the 4th Earl of Sandwich, Lázló Biró, Etienne de Silhouette and Rudolf Diesel and his diesel engine

Eponym

An eponym is a word named after somebody or someplace. An eponym, almost by definition, comes with a story, making them some of the most intriguing words. Knowing what an eponym is also allows you to use the word eponymous, which is always a good way to sound smart. Some of my favourite eponyms are now commonplace products that took the inventor's name. Some examples: The Rubik's Cube The Rubik's cube is an invention by Hungarian architecture professor Ernő Rubik. The cube has the fascinating property of being a solid object that's also fluid. This year (2024), the Rubik's Cube turned 50, celebrating around half a billion cube sales, scores of speed-cubing championships, and documentaries. When Rubik first invented the cube, he wasn't sure it was solvable and only managed it for the first time several months after creating it. In 2020, Rubik told the story of the cube in his book, Cubed: The Puzzle of Us All. The Jacuzzi The fabulously named jacuzzi, or more generally the hot tub, is named after the Italian Jacuzzi family. The seven brothers of the family—there were also six daughters—trained to become engineers, making plane propellers, irrigation systems and pumps before one of the brothers created a homemade bath to help his two-year-old son who was suffering from rheumatoid arthritis. The rest, as they say, is history. Saskia Solomon tells some of the brothers' story, which includes the court case Jacuzzi vs Jacuzzi, and the invention of the jacuzzi in the 2023 New York Times article, The Frothy Saga of the Jacuzzi Family. The Sandwich After so long as what seems the most basic of foods, it was remarkable for me to learn that the humble sandwich was named after a person: John Montague, the 4th Earl of Sandwich. Though he probably spent most of his time in London, the title itself is associated with the small town of Sandwich in Kent, in Southeast England. The story goes that the Earl liked playing cards and wanted food he could eat without having to leave his game and that wouldn't give him sticky fingers that would damage the cards. Incarnations of open sandwiches appeared much earlier elsewhere. For example, the trencher—something I had to look up when reading Game of Thrones—involved serving food on top of old bread as a sort of plate. But it took the Earl's dedication to card playing, or at least desk work, to take the next step many years later. The Biro and BiC ballpoint pens László Bíró was a Hungarian-Argentine inventor who created the first truly successful ballpoint pen. In the US, the BiC is more common, an eponym this time from Marcel Bich. It's said that Lázló experienced his fountain pen leaking from heat—fountain pens being very common before the ballpoint—and was inspired by a printing press that used a cylinder to spread the ink. All it needed was to go in all directions. Enter the ballpoint. While the invention seems obvious in hindsight, perfecting it for robust, commercial use was challenging. For example, finding suitable ink for the tiny ball bearing to spread, which doesn't leak or clog and isn't overly affected by heat. Lázló teamed up with an aviation company—who use a lot of ball bearings—which also provided a great use case of finding a pen that wouldn't leak from the air pressure changes in planes. Later, BiC licenced the technology from Biro. A Bic Cristal® Ballpoint pen is part of the collection at the MoMA. Silhouette I only learned that silhouette was an eponym while preparing this sketch, but it's perhaps the best of all. Étienne de Silhouette, a French government finance official tasked with curbing a French deficit in the 1700s, unwittingly gave his name to the classic black-on-white simple outline image of a person. His severe frugal policies of taxes, curbing royal spending and even melting down gold and silverware earned him the reputation of doing things cheaply. Hence, a cheap method of creating a portrait, cutting out black paper and laying it on a white background, became known as a silhouette. Diesel Nearly everyone will recognise the fuel that Rudolf Diesel gave his name to and his diesel engine. Diesel created a breakthrough engine that was more efficient than typical steam engines while being smaller and weighing less. Curiously, I learned that Diesel died in mysterious circumstances, disappearing on a journey across the English Channel in 1913. -- An excellent episode of the 99% Invisible podcast featuring Helen Zaltzman of the Allusionist raised several interesting questions about eponyms I hadn't considered. Here are a few to think about: Eponyms are common in medicine, for example, when we name a disease or condition after those playing a part in the discovery. However, the name, for example, Creutzfeldt-Jakob disease, tells a medical practitioner very little about the disease compared to a name that relates to the symptoms of the sufferer or the cause. Should examples like these be replaced with more practical names? Eponyms almost always have a way of oversimplifying a story, often wrapping up complex histories with the names of white males. For example, rarely are products invented or diseases identified solely through the actions of one person. Yet an eponym chooses one, or some people, at the expense of others. Eponyms may be the name of someone later discredited or who develops a tarnished reputation from other actions in their lives. Should someone who did evil deeds be remembered in an eponym or should it be changed? Who knew eponyms could be so interesting? Know some good eponyms with fun stories? I'd love to hear them. Eponyms are distinct from the fun concept of Nominative determinism—an aptronym—where someone's name seemingly influenced their future actions or career choices (for example, Les McBurney — Volunteer firefighter). I've covered a lot of eponyms over the years, far more than I realised. Using the handy list page on the site, I've collected some other eponym examples, which include a lot of my favourites: Bloom's Taxonomy Bortle Scale Braille Campbell's law Chesterton's fence Conway's Law Dracula sneeze Dunbar's number: 150 Fahrenheit and Celsius Fitts' Law Goldilocks tasks Goodhart's Law Hanlon's Razor Hofstadter's Law Identify a Douglas fir Jevon's Paradox Johari window Koomey's Law The Kano model Marchetti's constant Maslow's hierarchy of needs Metcalfe's Law Möbius strip Moore's Law Muphry's Law Pyrrhic victory Russell's Teapot Sankey diagram Scoville scale Spoonerisms Strahler stream order The Abilene paradox The Barnum effect The Betty Crocker Effect The Boaty McBoatface effect The Diderot Effect The Doppler Effect The Droste effect The Feynman Learning Technique The Gartner Hype cycle The Generalised Peter Principle The Gini coefficient The Goldilocks Zone The IKEA effect The Keeling curve The Lake Wobegon Effect The Lucretius problem The Mercator projection The Monty Hall problem The Overton Window The Oxford comma The Peter Principle The Plimsoll line The Pomodoro Technique ® The Rashomon effect The Rosetta Stone The Shirky Principle The Streisand Effect The Stroop test Veblen goods Other fun -onym words about words: Acronyms and initialisms Capitonym Heteronym Homonyms, homographs, homophones… 
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Vorfreude explanation and example: what is vorfreude? the pleasure in anticipation shown by someone looking enjoying looking forward to their upcoming holiday

Vorfreude

Vorfreude is a delightful German word for the pleasure of anticipation. It combines vor, meaning "before" or "in advance", and freude, meaning "happiness". It's the joy from the anticipation of joy. How to get more happiness from the same activity? Vorfreude! The magic of Vorfreude For me, the magic of Vorfreude lies in how it stretches out the pleasure of any upcoming event or experience. Once I hit 'Confirm' to book a trip, it kicks off joy for months whenever I think about the trip. And the great part about it, if we're organised, is that a trip in December can bring 'anticipatory joy' from when we book it in January. I need only reflect on my positive feelings about the trip, and life seems better. "Vorfreude is the best joy" I've often found that the Vorfreude may surpass the joy of the actual trip. With my Vorfreude glasses on, I never worry about the mosquitoes, the heat, or the inevitable waiting on the journey. Germans have a saying that reflects this: "Vorfreude ist die schönste Freude," or Vorfreude is the best joy. Thanks to something called fading affect bias, the emotional weight of negative memories tends to fade faster than positive ones. This leaves us with a rose-tinted view of past trips and may conveniently erase the niggly parts we didn't enjoy, allowing us to focus on just the good parts of a trip coming up. Or perhaps it's our optimism bias (we had a fun podcast about optimism bias). Vorfreude is not just for the big events Vorfreude doesn't only apply to big events like a holiday or wedding. I find anticipatory joy in small things, too. I look forward to the first coffee in the morning every day. Sometimes, the coffee won't live up to what I'd hoped for, but hey, I'd already been enjoying the idea of it since I finished my last coffee the day before. I look forward to meeting friends and loved ones. I look forward to a dinner out. I look forward to weekends. I look forward to the next football match. I look forward to a cake coming out of the oven. Many people look forward to 5 o'clock each day. By simply reflecting on these moments of future joy, we can experience happiness right now, no matter where we are. Enhancing Vorfreude We can even work to cultivate and enhance our Vorfreude. As a child, nothing built anticipation like an advent calendar, ramping up excitement for Christmas day as I opened each new window. Sharing photos of your holiday destination with friends and family before you go and planning activities increases vorfreude. Getting good things in the diary can kick us out of languishing. In some ways, Vorfreude mirrors the benefits I get from fear-based training plans or the forcing function of signing up for endurance events later in the year—having signed up for the event, I start to benefit from it as soon as I get out training with friends. The opposite of Vorfreude Of course, you may not be looking forward to the trip that's coming up. Perhaps upcoming events are filling you with dread. Anxiety is an emotion perhaps closest to the opposite of Vorfreude, or anticipatory anxiety more specifically. I've also seen Vorangst proposed—with Angst being strong anxiety or fear—which seems a very suitable alternative. Avoiding expectations While thinking fondly about upcoming events can give you Vorfreude, a reader pointed out to me the dangers of thinking too much about how good something will be in the future. It's easy to slip into setting expectations in your mind about how good something ought to be. If it then doesn't live up to your expectations, it could affect your enjoyment in the moment. I guess the sweet spot is expectation-free Vorfreude. Voorpret It's not just the Germans who thought of giving a word to the joyful anticipation and excitement before an event. The Dutch use the word Voorpret for the same concept—pret meaning fun. Enjoy the moment But don't forget to enjoy the moment. I'm sometimes reminded of Calvin talking with Hobbes about the enjoyment of his favourite breakfast cereal, Chocolate Frosted Sugar Bombs: "Ahhh, another bowl of chocolate frosted sugar bombs! The second bowl is always the best! The pleasure of my first bowl is diminished by the anticipation of future bowls, and by the end of my third bowl, I usually feel sick." While it’s great to savour the anticipation, remember to enjoy the moment when it arrives. More tips for Vorfreude in this excellent article by Rachel Dixon: The Vorfreude secret: 30 zero-effort ways to fill your life with joy Also see: Schadenfreude Fading affect bias 5 ways to wellbeing Wabi sabi If this isn't nice I don't know what is Choose passwords that make you happy Maslow's hierarchy of needs If money doesn't make you happy you're probably not spending it right I made prints for this as: the full Vorfreude sketch a simpler vorfreude picture with text (which works rather well as a message on a clock)—to be honest, this is probably better =) and just the umbrella and beach
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The writer's in the writing, the artist's in the art visual showing a red writer writing red words in a book, and a blue painter painting a canvas of The Wave in blue

The Writer's in the Writing. The Artist's in the Art.

Every creation is a mirror, reflecting something of its creator. If you and I were to paint the same subject, your painting would reflect some of you, and mine would reflect some of me. If we both write stories, each one will carry something of ourselves—our personality, our experiences. The writer is in the writing. The artist is in the art. The musician's in the music. Take writing as an example. If we're writing authentically, we can't help but share a bit of ourselves in our work. Our past experiences affect what we notice. Our timidity or confidence is reflected in the tone and style. Our education in the choice of words. Our kindness and patience, or cynicism and frustration, is revealed to the reader. And the choice of what you write or paint reflects you. Not if we're trying too hard. Not if we're writing to sound like a writer or if we're adopting a "literary" style because we think that's how it should be done. And not if we focus more on pleasing a search engine or ticking off marketing goals than connecting with readers. But if we write honestly and directly, the writer shows through. The Third Dimension This phrasing hit me while reading Brenda Ueland's book If You Want to Write. She calls the writer the Third Dimension. I believe she means that when you read a book, there are the characters, the reader, and also, inescapably, the writer's personality. She writes that readers can tell when writing isn't authentic, when it's not really you, but instead, a performance to meet someone else's expectations of how one should write—or perhaps a creation of an AI's sycophantic personality. The presence of the writer in the writing, or the artist in the art, leads Ueland to say, "…I have come to think the only way to become a better writer is to become a better person." I believe this principle also holds true across other creative disciplines, though I thought "the cook is in the cooking" didn't quite have the same ring. Still, it holds a ring of truth if I consider a musician and their music, an entrepreneur and their business, a podcaster and their podcast and others. It's hard to write this without wondering what I'm sharing about myself (and what gets scrubbed out and cleansed by Grammarly proofreading). In Sketchplanations as a project, I've come to think that sooner or later, everything I know of value will be there. So, in some way, the whole thing reflects me. Shall we go for a beer? Also see: How to speak plainly The first draft is always perfect The best writing is re-writing Short words are best Micro-editing redundant words Everyone's a geek about something Happy talk must die More sketches about writing — it always surprises me, for a designer and product developer, how many I have. 35 at last count. Here are images for each alone in case you're more one than the other: The writer's in the writing - solo The artist's in the art In addition to prints of this sketch, I added an individual print of the writer's in the writing and an individual print of the artist's in the art.
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Big Ideas Little Pictures: Explaining the world one sketch at a time

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Absorb big ideas with crystal-clear understanding through this collection of 135 visual explanations. Including 24 exclusive new sketches and enhanced versions of classic favourites, each page shares life-improving ideas through beautifully simple illustrations.

Perfect for curious minds and visual learners alike.

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