Yes, the two train track pieces are the same lengths. I know this because we have a basket of toy train tracks, and I took two identical curves and lined them up for the outline of this sketch. But it's easy to be fooled and think the one at the top is shorter than the one at the bottom.

While there may be other factors to help explain the ring-segment illusion, a common one is that our brains compare the short inner side of the top track against the longer outer side of the lower track leading us to believe the top one is shorter. Aligning the top track to the outer left point of the lower track enhances the illusion by increasing the horizontal contrast.

I like the ring-segment illusion as the name for it. It's also known as the Jastrow illusion after the Polish-American psychologist Joseph Jastrow, also known for the ambiguous figure of the rabbit-duck, who published a tapered version of the ring-segment illusion. In his paper, he gives a related example of how a square sitting on a point can look larger than one sitting on a side as we subconsciously compare the longer diagonal length with the shorter side length. You can test that in the sketch.

The ring-segment illusion

When I look back at the LEGO sets of my youth compared to the LEGO sets of today, a few things are striking. Today’s is much cooler: the colours are better, the pieces are more interesting, and the sets are more clever (they also have a lot more weapons*). And the sets have their own characters: they’re not just nameless people in characterless towns—every set is full of people with names, expressions, backstories, personalities and goals. My observation, ahem, through our children, is that this makes it way more interesting to play with. It’s the characters and the story that make them so good now. A good part of that I think is also the shift in quality of expressions on the faces.

I am kind of in awe of LEGO faces. The number and variety and subtlety of expressions it’s possible to make with just a few small changes to a few small lines on a face I find truly astounding. This sketchplanation shows just a tiny bit of the variety from the LEGO Movies. Respect to the artists.

*5% of Lego boxes sold in 2001 contained Lego weapons. In 2014 that was 30% according to Bartneck C, Min Ser Q, Moltchanova E, Smithies J, Harrington E (2016) Have LEGO Products Become More Violent? PLoS ONE 11(5): e0155401.

LEGO faces

The five ways to wellbeing are five simple, evidence-based ways to improve mental capital and mental wellbeing throughout life. 

Developed by the New Economics Foundation, the 5 ways to wellbeing are:

With the people around you. With family, friends, colleagues and neighbours. At home, work, school or in your local community. Think of these as the cornerstones of your life and invest time in developing them. Building these connections will support and enrich you every day.

Go for a walk or run. Step outside. Cycle. Play a game. Garden. Dance. Exercising makes you feel good. Most importantly, discover a physical activity you enjoy and that suits your level of mobility and fitness.

Be curious. Catch sight of the beautiful. Remark on the unusual. Notice the changing seasons. Savour the moment, whether you are walking to work, eating lunch or talking to friends. Be aware of the world around you and what you are feeling. Reflecting on your experiences will help you appreciate what matters to you. 

Try something new. Rediscover an old interest. Sign up for that course. Take on a different responsibility at work. Fix a bike. Learn to play an instrument or how to cook your favourite food. Set a challenge you will enjoy achieving. Learning new things will make you more confident as well as being fun. 

Do something nice for a friend, or a stranger. Thank someone. Smile. Volunteer your time. Join a community group. Look out, as well as in. Seeing yourself, and your happiness, linked to the wider community can be incredibly rewarding and creates connections with the people around you.

What Works Wellbeing has a neat post on how the UK compares to other European countries on the 5 ways to wellbeing and how they are affected by age, gender and other factors: 5 ways to wellbeing in the UK.

Curious? Evidence for the 5 ways from the New Economics Foundation (pdf).

Also, in doing this sketch, it’s quite clear that parks are awesome for wellbeing.

If money doesn't make you happy, you're not spending it right

5 Ways to Wellbeing

Beaches are amazing for play. Every time we go to a beach, I think, if you were to try and design the perfect toy, it would have many of the remarkable attributes of a beach - particularly the self-tidying feature. At some point, I should stop thinking that and just enjoy the beach.

If you like beaches too, you might enjoy the podcast episode fun at the beach where we talked about just what makes beaches amazing.

Beaches: amazing for play

The first rule of improvisation: Accept offers. The general principle of accepting offers is amazing for design, teamwork, getting on with other people and generally being a nice person. Children are amazing at this. Watch them playing with others and they can’t help but do it. Somewhere along the way we forget how to do it so easily.

Play sketches