Author Archive | Jarrett

Maybe Apps Are Not Transforming the Urban Transport Business

Revised February 19, 2018, based on excellent comments.

We’ve all heard that the most important transportation innovation of the century is the smartphone.  Who can doubt that apps for ride-hailing, navigation, and payment are making it easier to use shared transportation services, whether buses or Uber/Lyft or anything in between?   How can anyone who remembers waving helplessly at rushing taxis, or wondering when the bus would come, possibly doubt that this transformation has fundamentally changed all the products it touches?

From a customer’s point of view, I don’t doubt any of these things.  Apps have transformed the customer experience totally.  But that says nothing about whether they’ve transformed the bottom line of the provider.

Len Sherman has a nice short piece in Forbes explaining why Uber can’t make money.  Key quote:

The taxi industry that Uber is seeking to disrupt was never profitable when allowed to expand in unregulated markets, reflecting the industry’s low barriers to entry, high variable costs, low economies of scale and intense price competition — and Uber’s current business model doesn’t fundamentally change these structural industry characteristics.

Standard Uber/Lyft ride-hailing service is made of two main ingredients:

  • Taxi service, minus the protectionist regulations that kept some taxi fares artificially high.
  • An app that expedites hailing a taxi and paying the fare.

The relationship with drivers is also a difference, but not as much as it may seem. Uber and Lyft let drivers use their own cars, but many taxis are driver-owned as well.  Both Uber/Lyft and taxis pay the driver based on fares, not based on hours worked.

So really, the big difference is the app.

The app has transformed customer experience — by taking the friction out of the hailing, routing, and paying — but it doesn’t seem to be transforming the fundamental nature of the task, or its potential to be profitable.

That’s because transportation happens in physical space.  The dominant element of cost is the time it takes to drive someone to their destination, and to travel empty between jobs. The app does nothing to change this.  At most, Uber and Lyft have turned their efficiencies into fares slightly lower than taxis, due to intense competition between them.

If ride-hailing companies had the potential to be profitable — short of creating the same monopoly for them that taxis used to have — someone surely would have done it by now.  But Sherman notes:

Every major ridesharing company in the world is still experiencing steep losses after five or more years of operation, including Lyft (U.S.), Ola (India), 99 (Brazil), and Didi Chuxing (China).

We are seeing the same thing on the microtransit side.  So far, microtransit is doing no better than demand-responsive transit has always done, generally worse than 3 passenger trips per driver hour, compared to 10 for the typical outer suburban fixed and 20-100 for fixed routes in dense and walkable places.  In fact, the most widely promoted recent experiment, the Bridj pilot in Kansas City, did not reach 1 passenger / hour and managed to spend about $1000 per passenger trip,[2] compared to less than $5 for a decent fixed route.

This gap is too vast to be a marketing problem or something that can be solved by tinkering.  It’s a fact about the intrinsic spatial inefficiency of demand-responsive service, which has little to do with the communications tools used.

It’s time to notice a pattern:  Tech boosters treat solutions to a communication problem as though they were solutions to a spatial problem.

Certainly, communicating via telephone calls was part of the inefficiency of taxis, but if the smartphone app were enough to make taxis profitable, we’d be seeing the results by now.  Likewise, it’s great that apps are improving the communications side of demand-responsive transit, but so far, there’s no sign that this is making a difference on the bottom line.

Remember: Urban transportation is a spatial problem, and (until automation) a problem of the efficient use of labor.  If you’re going to transform it, you have to transform those things. Nothing about the standard Uber/Lyft product, or “microtransit,” is touching those fundamentals.

So have apps transformed the customer experience of urban transport?  Yes!  Have they transformed the urban transport business?  Maybe not so much.

 

 

 

[1]  There is a vast range of hybrids between a fixed route and a fully “to your door” demand-responsive service, all of which are very old ideas.  I was designing and revising these 25 years ago.  Everything that’s known about the math of that problem was well understood back then by the people doing it.

[2] This appalling number is from Eno Center’s report “UpRouted: Exploring Microtransit in the United States,” p.7, which is generally upbeat about microtransit prospects.   More commentary on this report soon.

The Financial Times Interview of Me

Izabella Kaminsky at the Financial Times Alphaville blog did an interview with me two weeks ago that was meant to be a podcast. We covered a lot of ground, including microtransit, Uber, Elon Musk, Big Data, and elite projection.

The audio didn’t work for the podcast, so they just printed the transcript.  (Sometimes it makes you register for free.)

I find it agonizing to read in print, because things that make sense in speech look terrible on the page, stripped of all the inflections and pauses that give spoken text its meaning.

Lots of people seem to be enjoying it, though.  And if a desire to laugh at my run-on sentences will make you read it, that’s on balance a good thing. It’s here.

The Only Political Theory You Will Ever Need

Ursula K. LeGuin, who left us on Monday, once wrote a very short story that contains all the political theory you will ever need. The puzzle it presents is the moral puzzle of “civilization,” which means it’s a puzzle that’s most acute in the city. Personally, it captures much of what motivates me, and confuses me.

It’s a parable, but it doesn’t lecture you. It opens space to think, as all of her best work did.

It’s very short. It’s very funny. There’s nudity and (optional) sex. You can read it in five minutes. You have time. Don’t skim. Read every sentence. It’s here.

(If for any reason that link doesn’t work, it’s called “The Ones Who Walk Away from Omelas” and it’s in the collection The Wind’s Twelve Quarters. My understanding is that the online versions exist with her permission, but if the link vanishes, then maybe they didn’t.)

Pass it on.

 

Should Transit Agencies Panic?

I’m in Atlantic Citylab today, responding to the widespread notion that transit agencies face some kind of existential crisis.  So far, the two most quoted bits are:

“A general message of ‘technology changes everything’ has become one of the most powerful arguments for letting fixed transit wither, even though this means worse traffic and higher transportation costs for cost-sensitive people.”

“Technology is a tool, not a goal. The job of local government—including transit agencies—is to serve the goals and aspirations of citizens. That, not fear of technological change, should be the foundation of their decisions.”

Hope you’ll read the whole thing.

Over the weekend, I also attempted a longer thinkpiece on why transit agencies can be frustrating to deal with, and how transit advocates can work with them more constructively.

 

 

 

Why Transit Authorities Sometimes Resist Change

Everyone gets frustrated with transit agencies.  The people inside of them get frustrated too.

But spewing rage at a transit agency rarely has much effect.  Making good arguments does better but you will still find resistance.  Elected officials have an impact, but if their direction is confusing or contradictory, it may not be the impact they intend.

As often, if you really want to influence someone, you have to start by thinking about things from their point of view.

I’ve worked with over 50 transit authorities, of various sizes, in many countries.  I’ll talk here mainly about the US transit agency, but much of what I’ll say is relevant in other countries.  My goal here is not to defend anything a transit agency does, but just to suggest ways to be more understanding of the agency’s experience, which will make you better able to influence them.

Regulations

If you run a business, you may be frustrated with all the laws and regulations that limit your ability to do the right thing fast.  But this is nothing compared to what transit agencies deal with every day.

In the US, transit agencies don’t just obey the laws that every employer or transport company obeys.  Much of their money comes through the Federal government, and receiving this funding requires satisfying all kinds of Federal requirements.  These regulations go beyond laudable goals like safety and civil rights.  They specify detailed procedures that must be followed in many kinds of activity.  Everything, from labor relations to service planning t0 the design of major planning studies, happens in the context of this web of Federal requirements, and like all webs (in the spider sense) these limit your range of movement and slow you down.

I’m not commenting on the worth of each of these regulations, but can certainly testify to their cumulative impact. I’ve seen countless situations where elected officials were demanding that something get done fast, and the correct answer was that Federal mandates and processes simply prohibit that.

Rigid Labor Structures

Until the uptake of automation, transit will be a labor-intensive industry.  Labor is around 2/3 of a typical transit agency’s operating costs.  The cost to run a bus for an hour obviously governs how many bus-hours of service you can run, and this cost, which is between $100 and $200 in most US urban agencies, turns centrally on the deal between the transit agency and its labor unions.

What matters is not just the pay rate and benefits (which are complicated enough) but also the rules of work.  These can be very intricate, and their impacts can cost a lot of money.  Once the contract is set, the rules, no matter how bizarre or costly their impacts, define what’s possible.

Labor-management relations are legally structured to be adversarial, and adversarial relationships are always inefficient. That’s not the fault of anyone working in the system now, on either side.

There is no neutral definition of what’s fair.  Both sides push for whatever they can get.  Most big cities have progressive elected officials who care about both transit workers and transit riders, but both of those voices have to be strongly present in the conversation, because ultimately they want opposite things.  You’re not going to get more bus service if the cost of an hour of service is going through the roof, so you have to want labor compensation and work rules that are fair but not outrageous.

(By the way, I’m a strong supporter of unions, but please don’t be distracted when they talk about what the senior managers are paid. Those are trivial numbers compared to a transit agency’s labor-driven operating budget. If you want great transit, don’t demand that managers be paid less. Demand that they hire excellent managers.)

Confusing Direction from Elected Officials

When elected officials first find themselves in charge of transit, they may not know much about the topic, and can have trouble figuring out what to do.  It’s like that famous nightmare where you find yourself seated at a piano onstage, with a huge audience looking at you, but you never learned to play the piano.

So elected leaders need some training on the facts and choices that they’ll face.  If you’re going to drive a transit agency, you have to know where the controls are, what happens if you push this button, and how to avoid hurting yourself or others. Not all transit managers think it’s their role to educate their elected boards, because this can feel like criticizing your boss.

So without intending to, elected officials often give direction that causes confusion or anxiety in the transit agency.  A great example is the conflict between ridership and coverage goals, which I explain here. If you demand both ridership and coverage from your transit agency — and most people do want both — then you’re giving contradictory direction, and someone needs to force you to be clearer about what the priorities are.  This is a role my firm often plays in transit studies.

Finally, there’s no consensus on what core body of knowledge a “transit expert” should have; this is the starting point of my book Human Transit, and discussed more detail in its introduction.

Operations as Resistance to Change

The dominant task of most US transit agencies is running the service every day, and most staff are focused on that.  In operations, your goal is to make the service the same today as it was yesterday. Disruption is your enemy.

S0 when some egghead planner shows up wanting to change the transit system, it’s easy to see them as just another disruption — not fundamentally different from the car crash blocking the your rail line. I’ve been that egghead for many transit agencies, so I’m used to the particular kinds of resistance that often (not always) come from the operations side. I don’t criticize them for reacting this way. They’re doing what they were trained to do, which is keep things steady and predictable, as we all want transit to be.

Because operations is the dominant part of most agencies, it’s easy for this aversion to change to define the whole agency’s culture. It takes great management to keep operations staff feeling valued and supported even as you contemplate major changes — even “disruptions” — to how you do business.

Misdirected Blame

Many aspects of the the success or failure of a transit system is outside the transit agency’s control.

When a bus is late, do you blame  the city that decided not to have bus lanes or other transit priority, or do you just blame the transit agency?

When a planning process seems bureaucratic and unresponsive, do you blame the Federal rules that they have to follow, or do you just blame the transit agency?

When it’s hard to walk from a bus stop to your workplace, do you blame the road department that designs and manages the street, or do you just blame the transit agency?

When you see a transit agency’s ridership falling, do you consider outside causes like low gas prices?  Do you consider non-ridership goals the agency may be pursuing?  Or do you just assume that the agency is failing?

If there isn’t enough service in your area, do you blame the elected leaders (and voters) who refuse to fund transit properly, or do you blame the transit agency for serving someone else when they should be serving you?

Transit agencies are constantly blamed for things they don’t control, which leads to …

Public Abuse

Screaming abuse at your transit agency staff is not a good way to get them to do things.  But it does have an impact: It makes the transit agency more defensive, and less likely to be open with ideas and information. The best transit managers are also hard to keep in this situation, because there are probably other jobs they could do that don’t require taking so much abuse.

There’s a deep sadness at the heart of transit operations, which is that when you do it well nobody thanks you.  Your job is to be invisible. When you become visible, it’s when people scream at you because you’ve done something wrong. If that’s your daily experience, of course you’ll keep your head down, not speak up, not share ideas.  Or as a  seasoned Australian transport bureaucrat told me years ago: “The key to success here is to say as little as possible.”

I’m just thinking of the management staff’s role taking abuse, but that’s nothing compared to the bus driver’s. People yell at them and argue with them all day. Those who maintain good cheer (and safe driving) under all that pressure are absolute heroes in my book.

Finally, some journalists write in ways that amplify the abuse.  I’ve worked with some excellent transit reporters, but also I’ve faced some who are sure I’m deceiving them just because I’m sharing information that doesn’t match their prejudices.  I’ve also used to mainstream media stories that misuse data to make stories of transit failure sound more extreme than they are. They deserve pushback from people who care.

When people are abusive toward you, does that make you want be more open and vulnerable, as you need to be to really engage with others? Me neither. No wonder transit agency staffs seem a little defensive sometimes.

I wrote more about the paradoxes of public communications here.

To Sum Up

It’s totally OK to be unhappy with the quality of your transit system. The best people on your transit agency’s staff almost certainly share your opinion. By all means press your transit agency to improve, but take the time to understand what the real barriers are, which will help you see where advocacy is really needed.

If you want to influence a person, you start by listening to them, understanding what it’s like to be them.  Try treating your transit agency the same way.

A Friendly Guide to Transport Planning

David M. Levinson, Wes Marshall, Kay Axthausen.  Elements of Access.  Network Design Lab, 2017. 

Access — where can you get to soon? — is, or should be, the core idea of transportation planning.  David Levinson has long been one of the leaders in quantifying and analyzing access, and this work kicks off this fine new book.  The cover — a 1925 map showing travel times to the centre of Melbourne, Australia — captures the universality of the idea.  Access is what  I prefer to call freedom: Where you can go determines what you can do, so access is about literally everything that matters to us once we step out our front door.

But that’s just the beginning of this very friendly book.  Elements of Access is really a tour of the whole field of transport planning, and its goal is to strike a balance between academic precision and readability.  In this, it’s a great success.  I’ve never taken more pleasure from reading academic writing about transport.  The writing is mostly clear and easy to read, and deftly combines technical ideas with references to everyday life.

The book is also easy to browse.  It’s organized in units of 1-2 pages, grouped under six themes.  Photos are used well.  Footnotes appear in the otherwise white space on each page, so that there’s no flipping to them, and interesting nuggets in them have a chance to catch your eye.  The book is also full of internal references, aiming for the structure of a hypertext to the extent that a physical book can.

Do I have gripes?  Sure.  Inevitably, a book of this breadth rushes past many rich topics, and sometimes — as with transit fares — the treatment is too cursory to be useful.  Some explanations are clearer to the average reader than others.  And I wish the content had been linked to the concept of access more explicitly throughout.

Of course, one common reason for negative reviews is that the reviewer looked at the bibliography, didn’t see his own book listed, and formed a judgment right there.  Well, my book isn’t in the bibliography, but Elements of Access is a good book anyway, whether for reading, browsing, or as a reference.  I recommend it.

Caution: Long Chatty Holiday Letter

This is the letter our firm sent to our friends and colleagues today.  Yes, holiday letters, like Facebook posts, can make you feel that everyone but you is living perfect lives devoid of struggle and heartache.  Here I do my best to rise above that, but it comes with the genre.  You’ve been warned.  

When I returned to the US in 2011, after five years working in Australia, I wasn’t sure what to do, so I created a thing called “Jarrett Walker and Associates”. My book Human Transit had just come out but I had no idea how it would be received. I didn’t even know if I’d need employees.

I had a few vague goals. My first slogan was Let’s think about transit,”because I hate making recommendations. Instead, I wanted to help communities and clients think for themselves. And while there is lots of work in planning infrastructure, I wanted to focus on service and network planning—the thing you need to figure out before you know what infrastructure to build.

Michelle Poyourow and Evan Landman joined me in the first year, and after that, the firm grew around their influence as much as mine. As it became clear that we needed to combine transit planning and public outreach in a new way, we arrived at a grander mission statement: We foster clear conversations about transit, leading to confident decisions.” Since then, our outreach tools—tools that put every participant in the city’s or transit agency’s shoes—have taken a central role in most of our projects.

So far, many people seem to like our approach. The bus networks now running in HoustonColumbusSalem and Anchorage all are based at least partly on our work. Many others are awaiting implementation in the coming year, including in Richmond, Virginia and in San José and Silicon Valley in California). Local US elections in 2016 produced sweeping victories for transit, and we’re proud to have helped develop the voter-approved transit plans in Indianapolis and greater Raleigh.

We’ve now worked in about 30 metro areas across North America, and we’re active in several other countries.  New Zealand and Australia remain close to my heart, and we continue to collaborate there with my former employer MRCagney: Auckland continues rolling out a network that began with our work in 2012, and we’ve also worked in Canberra, Christchurch and Darwin.  We’ve had unexpected Russian adventures, including a bus and tram redesign for Yekaterinburg and the wildly successful streamlining of the buses in central Moscow. Our work in Reykjavík, Iceland was great fun.

This year, we took on our first job in the European Union: the redesign of Dublin’s bus network, led by Daniel Costantino. Europeans rarely ask North Americans for transit planning advice, but our approach to the transit conversation is different from what’s routine in Europe, and we are excited by the possibilities there.

We grew slowly in our first six years, adding about one person per year. But in 2017, we suddenly grew from six people to ten, moved into proper office space in Portland, and opened our first satellite office—in Richmond, Virginia, led by Scudder Wagg.

Scudder WaggScudder was our client, in effect, for two years before joining us, as we collaborated on the redesign of Richmond’s transit network. Now, he leads our efforts on the east coast of the US and Canada.

We also hired Joey Reid, a senior data scientist from Metro Transit in Minneapolis.  He has done wonders in automating our analysis processes, so we can ask smarter questions and get answers faster.

You can read more about our incredible team here.

We’re still figuring out how to exist at our new size, and we have all the conversations you’d expect: Should we grow any more? Would we lose our focus? Would it be more or less fun if we added the structure that a larger firm requires?

My own job has evolved, but I still have at least an advisory role in every project. If an intensive network design retreat with client staff is involved, I lead that retreat. I also continue traveling to new cities to meet local advocates and thought leaders, to run workshops, and give public talks. I am starting to outline my next book, tentatively called Freedom in the City, and the blog remains lively. It’s amazing what Elon Musk calling you an idiot can do to build interest in your work.

But is transit obsolete? Is all that we do about to be swept away by autonomous vehicles, or microtransit, or pods in tunnels, or some other innovation? The transit industry needs to welcome innovation, but many of the people trying to “disrupt” fixed-route transit don’t understand how transit already works. We’re increasingly drawn into debates about the future of transit—on the blog, in the media, and in our work with transit agencies. We collaborate with many innovative technology companies, but we are also unafraid to challenge innovators when their ideas don’t make sense, especially if their marketing campaigns sow confusion or do harm.

We’re grateful to all of our clients, colleagues, and friends for what’s been possible in the last year. We’re trying to make transit and cities better however we can, and we are keen to work with others who share that goal.

We wish you all the best in 2018 and beyond,

Jarrett Walker
President and Principal Consultant
Jarrett Walker + Associates

A New Welcome, and the Most-Read Posts in 2017

If you recently joined us thanks to Elon Musk, you may not know all about what I’m up to here.  There’s an “about” page for that, and over at the right you’ll find links to my book and consulting firm  But there’s also a lot of good material here that doesn’t go out of date.  Start with the Basics collection!

Last year at this time, I reviewed the 10 posts that got the most views in 2016 and was happy to find that only four of the ten were written in that year.  The pattern continues: only three of 2017’s most-read articles were written in 2017.

  1. The Dangers of Elite Projection (July 2017).  This is one of my most useful posts ever, about a basic mistake that’s everywhere in city planning.  It’s an example of my attempt to talk very patiently and inclusively about a difficult topic that makes people very emotional.
  2. Does Elon Musk Understand Urban Geometry? (2016)  My first effort at laying out what’s wrong with Elon Musk’s attempts to make cars go faster through cities, and to provide “service to your door.”  Written several months before I got Musk’s attention.
  3. Elon Musk Responds!  (December 2017) Some drama around my December 14 exchange with Musk. No enduring content.
  4. Basics: Walking Distance to Transit (2010).  An explainer.
  5. Basics: The Spacing of Stops and Stations.  (2010).  This turned into Chapter 4 of my book.
  6. The Receding Fantasy of Affordable Urban Transit “To Your Door” (May 2017).  A first attempt to lay out why demand-responsive services do not scale as any sort of substitute for fixed transit in dense cities.  However, the post will probably be superseded by this expanded one written just this week.
  7. That Photo That Explains Almost Everything (2011).  You’ve seen the photo.  I notice a few things in it beyond its first impression.
  8. Keys to Great Airport Transit (2016, but new on the list in ’17)  A pretty useful explainer about the common challenges and mistakes in airport rail lines.
  9. Streetcars: An Inconvenient Truth. (2009) My first controversial post, still starting arguments seven years later.
  10. Learning from “Mini Metro”.  (2014) Geeking out on the best public transit planning game I’ve seen.

But the Musk drama nudged some other keepers just out of the top 10.

  1. Explainer: The Transit Ridership Recipe (2015).  Perhaps my single most essential explainer.
  2. Core vs Edge Debates in Public Transit. (2016) An eternal issue.

Happy reading!  And if you’d like to see some of this material in more organized form, there’s a book, whose introduction you can read online.

Happy New Year.

 

The Fantasy of “Service to Your Door” in Dense Cities

Customers love our new invention!  You have to start listening to the customer!  How often have you heard this line as though it ended any argument?  I certainly hear it all the time as an explanation of why “service to your door” will sweep away large parts of the fixed route transit industry.

The answer is:  People want all kinds of things that they can’t all have, because those things just too expensive per customer to provide.  Wealthier people can have them, but the tastes that wealthy people can afford are a terrible guide to what will work for everyone.

A great example is “service to your door,” when applied to dense cities.  There is a different issue when applied to suburbs, to which I’ll return in another post.

As far as we can tell, neither Uber nor its competitors can make a profit, even though they focus heavily on dense cities where the geography is most favorable to them.  Startups have lots of good arguments for why we should wait a while for them to be profitable, but Uber is running out of them.  We are not waiting for Uber to scale up; it is already huge.  We are not waiting for it to become more labor-efficient; it has already squeezed labor so hard that it can’t retain drivers.  We are not waiting for more efficiency in communications; the app already works fine.  What are we waiting for?

As Len Sherman argued in Fortune recently, the real answer is simpler.  Urban transportation is just not a profitable business.  Transit isn’t, and taxis and taxi-like services usually aren’t either.

But transit is supremely efficient at one essential thing: it uses scarce urban space efficiently.  By contrast, “service to your door” is becoming a new way to strangle our cities with congestion. Congestion is a spatial problem; it will still be there in a coming age of automation.

So yes, everybody would like to have service to their door.  But the true price of that, in dense cities, is likely to be something that only relatively wealthy people can afford.  Pre-automation, labor is an irreducible cost.  Post-automation, in dense cities, there will still be the problem of space. Uber and Lyft are already increasing traffic in dense cities that don’t have room for it. If they suddenly become cheaper, the resulting induced demand would be the death-knell for the functioning of cities.

To its credit, Uber understands that only road pricing will solve this problem even in the post-automation world.  This, of course, would push the price of their service back up, and thus out of range for many people.  But that would indeed be the true price.  Which is why the “service to your door” fad must not be allowed to undermine fixed route transit systems that can work for everyone because they use space so efficiently.  (Post-automation, too, we should also think of autonomous taxis competing with autonomous buses, which would be vastly more frequent than buses today.)

Advertising glorifies the tastes of the wealthy, not just to sell to them but to help less wealthy people form unrealistic tastes. “Service to your door” is yet another example of that kind of marketing.  And whenever we are told to design things around technologies that only the fortunate can afford, we’re being asked to make a mistake called elite projection.  Cities do not work for anyone unless they makes room for transportation that works for everyone. So they must be designed around what works for everyone.  They must also be designed around solutions that are financially sustainable, which “service to your door” — when properly priced to account for its inefficient use of street space — is probably not.

But is “service to your door” relevant to suburban needs, or to the distinctly suburban “first mile last mile” problem? I’ll cover that in an imminent post.

If You Need a Holiday Distraction

… I would like to recommend the computer game The Witness.

Yes, this is off topic in a narrow sense. But I know many readers of this blog love the process of scientific discovery, and that’s what The Witness is about.

You arrive in a beautiful garden that presents you with puzzles.  You figure them out. Soon you are allowed out of the garden into a large island full of more puzzles, which gradually open up richer mysteries.  You learn more and more about the world.  Just like science, see?

As I faced these puzzles of increasing difficulty, I found myself having the full range of sensations that accompany the scientific process:

  • The thrill of recognizing a pattern, solving something, and thus being free to move forward.
  • The need to document what you’ve learned. (Take lots of screenshots.)
  • The uncertainty about what might turn out to be important later.  This gradually recedes  a bit as you grow to learn the world’s “rules” but never quite goes away.
  • The frustration of being stuck.
  • The moment when the beautiful solution that you’ve found turns out to be wrong, but it’s so beautiful that you’re angry it isn’t right.
  • The way this anger can guide you to come up with mathematical proofs that there is no solution to the puzzle.
  • That feeling when this ironclad argument for despair is ruined by a sudden insight or successful guess.
  • The resulting realization that while the pattern isn’t always the beautiful thing you imagined, there is a different beautiful pattern.
  • The way that, late in the game as the problems get very hard, the notion that every pattern must be discoverable becomes stretched, and you start trying to theorize unknowability in ways reminiscent of chaos theory or the Heisenberg principle.
  • The way the sheer beauty of the world keeps you coming back to it, even when you feel mad at its designers.

I write this at a moment of being very stuck, but I’m still eager to recommend it, if only for the delight I’ve had getting to this point.

But this is important: If you decide to trust me, do not read anything else about the game!  Don’t read other reviews, because it’s hard to say more than I’ve said without giving spoilers.

Well, I will give one clue.  It’s a comment to a review (yet another review you really shouldn’t read):

Was walking my dog. Saw something on sidewalk that looked like part of a circle. Wondered how I can get on neighbors roof for better perspective.

It’s best on a tablet.

Commenters:  No spoilers.  Please don’t give away anything more than what I’ve described.  Because the pleasure of this game starts with knowing nothing at all.