Pi Day 2026 –PI and the Horse Races
Since I have been playing around with picking the ponies lately, I thought I might try to look into any PI Day angles for that. So, I settled on examining how the circular nature of a racetrack affects the horse-races, in this case the harness races. However, the general sense of this would apply to any sort of race run around a track, including thoroughbred horses.
The above is a plan view of a simplified racetrack, comprised of two circles connected by straight lines, such that the lines intesect the circles, tangent to the radii (more or less, given the limitations of a spreadsheet construction).
The blue inner radii and connecting line represents the path of a horse that runs inside, along the rail. It is meant to be one-mile, the distance of many harness-racetracks. The green outer radii and connecting line represents the path of a horse that runs on an path to the outside of the first horse. The distance between the two paths is exagerated.
As the diagram shows, it is obvious that the outer horse will run a greater distance than the inner horse, which will be related to the difference in the radii of the inner and outer circles.
Since the simplified track is composed partly of circles, PI is bound to come into the calculations. That is shown in the cut/paste of some calculations from a spreadsheet. The main result is that the outer horse runs about 10 yards farther than the inner horse, if is it parked outside the inner horse on the turns. The phrase "parked out" just means that it is running outside of the innermost horse and remains "parked" in the position for the bulk of the race. That is the case when it is parked out by one horse. If it is on the outside of two horses, the extra distance will be nearly 21 yards, and so on. Note that this extra distance is on the turns; on the straight sections, both horses run the same distance.
The next set of calculations related to times and velocities. If the inside horse finishes the one-mile course in 2 minutes (a typical standard for harness horses), that implies a velocity of 14.67 yards per second (that’s 30 miles per hour). Were the horse that is parked one wide to go that same velocity, it would take 120.71 seconds, so a difference of about 7 seconds.
A typical length for a horse and sulky is about 12 to 14 feet, or about 4 yards. At about 15 yards per second, a horse would cover nearly 4 seconds in the time it takes to travel that distance. So, that would imply that the outside horse would finish the race about 2.6 lengths behind the winner.
In order to finish in a dead heat, the outer horse would have to step up its average velocity from 14.67 yards per second to 14.75 yard per second. That doesn’t sound like much, but over 2 minutes it adds up. For a horse that was parked outside for more widths than this, the numbers would scale appropriately.
So, where position the horse and when to challenge for the lead is significantly impacted by the extra distance to travel, due to the differing radii in the corners for inner and outer horses. And since corners are partial circles, PI comes into play.
This is one of the main factors that a driver must consider. Of course there are many other nuances. Some horses just naturally want to run in the lead, while others prefer to close at the end of the race. There can be advantages to running second, just behind the leader, in a similar way that this occurs in bicycle races ("drafting"). This can save a lot of energy, for that final sprint to the finishing line. But there is also a chance of being "boxed in" (stuck in traffic), and being prevented from making that move.
So, there is a lot of math in this, including PI, so I will go to the harness races on March 14 and have some PI.
-----------------------------------------------------------------------
So, now that you have dutifully read some Pi Day math, you should read a science fiction book, or even better, a whole series. Book 1 of the Witches’ Stones series even includes a reference to pi.:
The Witches’ Stones
Or, you might prefer, the trilogy of the Witches’ Stones (they’re psychic aliens, not actual witches), which follows the interactions of a future Earth confederation, an opposing galactic power, and the Witches of Kordea. It features Sarah Mackenzie, another feisty young Earth woman).
https://www.amazon.com/dp/B008PNIRP4
https://www.amazon.co.uk/dp/B008PNIRP4
The Magnetic Anomaly: A Science Fiction Story
“A geophysical crew went into the Canadian north. There were some regrettable accidents among a few ex-military who had become geophysical contractors after their service in the forces. A young man and young woman went temporarily mad from the stress of seeing that. They imagined things, terrible things. But both are known to have vivid imaginations; we have childhood records to verify that. It was all very sad. That’s the official story.”A short story of about 6000 works.
https://www.amazon.com/dp/B0176H22B4
https://www.amazon.co.uk/dp/B0176H22B4
The Zoo Hypothesis or The News of the World: A Science Fiction Story
In the field known as Astrobiology, there is a research program called SETI, The Search for Extraterrestrial Intelligence. At the heart of SETI, there is a mystery known as The Great Silence, or The Fermi Paradox, named after the famous physicist Enrico Fermi. Essentially, he asked “If they exist, where are they?”.Some quite cogent arguments maintain that if there was extraterrestrial intelligence, they should have visited the Earth by now. This story, a bit tongue in cheek, gives a fictional account of one explanation for The Great Silence, known as The Zoo Hypothesis. Are we a protected species, in a Cosmic Zoo? If so, how did this come about? Read on, for one possible solution to The Fermi Paradox.
The short story is about 6300 words, or about half an hour at typical reading speeds.
https://www.amazon.com/dp/B076RR1PGD
https://www.amazon.co.uk/dp/B076RR1PGD













