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The curling research library
Curling research is scattered across physics, tribology, sports medicine and operations research, and those literatures barely cite each other. This is all of it in one place, grouped by what it is about and annotated with what it actually found.
Last updated 2026-08-18
This page is a bibliography with opinions. Every entry says what the work claims, not only what it is called, so it can be read straight through by somebody who wants to know what is known and has no intention of opening a journal. Where something is open access, that is noted, because it is usually the deciding factor.
- 1924the first experimental paper on curling
- 39works listed here
- 4separate literatures that barely cite each other
- 0settled answers to the central question
If you only read four things#
These are the entries that change what you think rather than adding to it.
- Start here Pivot–slide model of the motion of a curling rockM. R. A. Shegelski and E. Lozowski. Canadian Journal of Physics 94, 1305, 2016.The stone catches on a pebble, pivots briefly about that contact, then slides on. Reproduces observed curl distances and — crucially — reproduces the weak dependence of curl on how fast the stone is turning.
- Start here The asymmetrical friction mechanism that puts the curl in the curling stoneH. Nyberg, S. Alfredson, S. Hogmark and S. Jacobson. Wear 301, 583, 2013.The Uppsala group’s scratch-guide result. Their demonstration is the memorable one: score the ice deliberately, and the scratches steer the stone.
- Start here The importance of the surface roughness and running band area on the bottom of a stone for the curling phenomenonT. Kameda and others. Scientific Reports 10, 20637, 2020.Measures the scratches: roughly 1 µm deep and 40 µm wide, cut into the pebble tops by the running band. Finds that curl distance is set mainly by the roughness and area of that band — which is a claim about the stone, not about the ice.
- Start here Calculated trajectories of curling stones sliding under asymmetrical friction: validation of published modelsH. Nyberg, S. Hogmark and S. Jacobson. Tribology Letters 50, 379, 2013.The most destructive paper in the field. It computes the trajectory for a wide range of possible friction distributions under the stone and finds that none of them, however extreme, reproduces what a real stone does. A surviving theory has to be about something other than merely where the friction sits.
- Start here Study of curling mechanism by precision kinematic measurements of curling stone’s motionJ. Murata. Scientific Reports 12 (also arXiv:2203.00347), 2022.Tracks a real stone frame by frame to sub-millimetre precision. Reports a left–right friction asymmetry arising from the speed dependence of friction, concludes that swinging about discrete slow-side contact points is the dominant mechanism, and finds no evidence for the large front–back asymmetry the older models require.
- Start here An examination of studies related to the sport of curling: a scoping reviewE. Zacharias, N. Robak and S. Passmore. Frontiers in Sports and Active Living 6, 1291241, 2024.The right place to start on any curling question that is not the curl mechanism. It maps the whole research landscape — delivery, sweeping, wheelchair curling, strategy, psychology, injury, facilities — and is open access.
- Start here The sports science of curling: a practical reviewJ. L. Bradley. Journal of Sports Science and Medicine 8, 495, 2009.What sweeping actually does to the ice and to the sweeper, written for coaches rather than for physicists. Open access, and still the clearest short account of why sweeping works at all.
- Start here An analysis of curling using a three-dimensional Markov modelJournal of Sports Analytics 5, 101, 2019.Builds win probability from eighteen years of Canadian championship data and then uses it to answer strategy questions. Its most-quoted conclusion is that a team with hammer facing the choice between taking one and blanking should usually blank.
Why stones curl: the physics literature#
This is the largest and the least conclusive of the four. It runs from 1924 to the present without converging, and the disagreement is genuine rather than merely unresolved — competent people have looked at the same stone and reached incompatible conclusions. The argument itself is narrated on why a curling stone curls; what follows is the paper trail, grouped by the mechanism each camp argues for.
The first look, 1924–1981#
The problem is stated, and immediately gets several different wrong answers at once.
- An experimental study of the motion of curling stonesE. L. Harrington. Proceedings and Transactions of the Royal Society of Canada 18, 247, 1924.The first systematic measurements, and the paper that framed the question everybody has argued about since.
- Correspondence on the motion of curling stonesC. W. Richardson; E. L. Harrington; W. H. Macaulay and G. E. Smith; A. G. Lowndes. Nature 125, 408 and 494; 126, 351; 127, 60 and 237, 1930.A running argument in the letters pages across 1930 and 1931, in which most of the mechanisms still under discussion today are proposed by somebody and dismissed by somebody else.
- The physics of curlingG. Walker. Nature 140, 567, 1937.Notes the constraint that kills the simplest idea: under ordinary Coulomb friction, a left–right difference in grip alone cannot turn forward motion into sideways motion.
- The dynamics of a curling stoneG. W. Johnston. Canadian Aeronautics and Space Journal 27, 144, 1981.The last of the pre-modern treatments, and the one usually cited as the start of the current era.
Front–back asymmetry#
The stone leans on its trailing edge, so the back of the running band grips harder than the front. Elegant, and the direction comes out right — but the amount of asymmetry it needs is very large.
- The motion of a curling rockM. R. A. Shegelski, R. Niebergall and M. A. Walton. Canadian Journal of Physics 74, 663, 1996.Sets out the modern friction-asymmetry account, and is the ancestor of most of what follows.
- Curling rock dynamicsM. Denny. Canadian Journal of Physics 76, 295, 1998.A clean, much-cited derivation, and a good illustration of the field’s central hazard: a model can reproduce the curl direction and still be wrong about the mechanism.
- Maximizing the lateral motion of a curling rockM. R. A. Shegelski. Canadian Journal of Physics 78, 857, 2000.
- The physics of sliding cylinders and curling rocksA. R. Penner. American Journal of Physics 69, 332, 2001.The paper most physics students meet first. Worth reading before the ones that argue with it.
- Curling rock dynamics: towards a realistic modelM. Denny. Canadian Journal of Physics 80, 1005, 2002.
- Curl mechanism of a curling stone on ice pebblesN. Maeno. Bulletin of Glaciological Research 28, 1, 2010.
- Dynamics and curl ratio of a curling stoneN. Maeno. Sports Engineering 17, 33, 2014.Introduces the curl ratio — curl distance divided by slide distance — which is the number to compare between studies, because it does not depend on how hard the stone was thrown.
Pivot–slide#
The running band does not slide smoothly: it catches on a high point, pivots about that point for an instant, then releases. Repeat a few thousand times and the pivots add up to a sideways drift.
- Start here Pivot–slide model of the motion of a curling rockM. R. A. Shegelski and E. Lozowski. Canadian Journal of Physics 94, 1305, 2016.The stone catches on a pebble, pivots briefly about that contact, then slides on. Reproduces observed curl distances and — crucially — reproduces the weak dependence of curl on how fast the stone is turning.
- First principles pivot–slide model of the motion of a curling rock: qualitative and quantitative predictionsM. R. A. Shegelski and E. Lozowski. Cold Regions Science and Technology 146, 182, 2018.
- Improved pivot–slide model of the motion of a curling rockG. Mancini and L. de Schoulepnikoff. Canadian Journal of Physics 97, 1301, 2019.Makes the pivot-to-slide time ratio depend on the stone’s speed, and fits the two new parameters to measured trajectories.
- Comment on “Improved pivot-slide model of the motion of a curling rock”E. Lozowski and M. R. A. Shegelski. Canadian Journal of Physics, 2020.With the reply at cjp-2020-0586. Included because the exchange shows precisely which parts of the model are agreed and which are not.
- Asperity-based pivot–slide model of curling stone motionM. R. A. Shegelski and E. Lozowski. Canadian Journal of Physics, 2024.The current form of the model: the pivots happen on individual asperities — microscopic high points — rather than on whole pebbles.
Scratch-guide#
The rough underside of the stone scores fine grooves into the pebble tops, and the next part of the stone to arrive is steered along them, like a skate edge running in its own track.
- Start here The asymmetrical friction mechanism that puts the curl in the curling stoneH. Nyberg, S. Alfredson, S. Hogmark and S. Jacobson. Wear 301, 583, 2013.The Uppsala group’s scratch-guide result. Their demonstration is the memorable one: score the ice deliberately, and the scratches steer the stone.
- A surface topography analysis of the curling stone curl mechanismV. Honkanen and others. Scientific Reports 8, 8123, 2018.Looks at what the running band and the pebble tops actually look like, at the scale where the argument is happening.
- A scratch-guide model for the motion of a curling rockA. R. Penner. Tribology Letters 67, 35, 2019.Turns the scratch idea into a model that produces numbers. See also the comment and reply at Tribology Letters 68 (2020).
- Start here The importance of the surface roughness and running band area on the bottom of a stone for the curling phenomenonT. Kameda and others. Scientific Reports 10, 20637, 2020.Measures the scratches: roughly 1 µm deep and 40 µm wide, cut into the pebble tops by the running band. Finds that curl distance is set mainly by the roughness and area of that band — which is a claim about the stone, not about the ice.
Measurement, and what any theory has to match#
The experimental papers. Several of these are the reason particular theories are no longer tenable.
- The motion of curling rocks: experimental investigation and semi-phenomenological descriptionE. T. Jensen and M. R. A. Shegelski. Canadian Journal of Physics 82, 791, 2004.The trajectory data a great deal of later modelling is fitted against.
- Start here Calculated trajectories of curling stones sliding under asymmetrical friction: validation of published modelsH. Nyberg, S. Hogmark and S. Jacobson. Tribology Letters 50, 379, 2013.The most destructive paper in the field. It computes the trajectory for a wide range of possible friction distributions under the stone and finds that none of them, however extreme, reproduces what a real stone does. A surviving theory has to be about something other than merely where the friction sits.
- Start here Study of curling mechanism by precision kinematic measurements of curling stone’s motionJ. Murata. Scientific Reports 12 (also arXiv:2203.00347), 2022.Tracks a real stone frame by frame to sub-millimetre precision. Reports a left–right friction asymmetry arising from the speed dependence of friction, concludes that swinging about discrete slow-side contact points is the dominant mechanism, and finds no evidence for the large front–back asymmetry the older models require.
- Characteristics of pebble shape and the amount of pebble abrasion measured with a replica reproduced on a curling rinkT. Kameda and others. Scientific Reports, 2024.What a pebble is actually shaped like, and how much of it is worn away over a game. Read alongside the ice-speed page.
- Correlations between curling stone frictions and tribology’s Stribeck curve: concepts to considerVarious. Canadian Journal of Physics, 2024.Places curling friction in the general tribological picture, which is where the speed dependence comes from.
- The split friction model: the isotropic origin of the lateral force in curlingVarious. Journal of Bio- and Tribo-Corrosion, 2025.A recent attempt to get the sideways force out of friction that is not directionally biased at all.
Ice, sweeping and prediction#
Work that takes the mechanism as given and asks what follows: how ice quality can be measured, and how well a trajectory can be predicted.
- Acceleration-based method of ice quality assessment in the sport of curlingVarious. Sensors 22, 1074, 2022.Instrumenting a stone to measure the sheet, rather than timing it by eye.
- High-precision prediction of curling trajectory multivariate time series using the CasLSTM approachVarious. Scientific Reports, 2025.
- Curling stone trajectory and collision prediction using a hybrid model integrating physical models and machine learningVarious. Applied Sciences 16, 5034, 2026.Physics for the parts that are understood, a fitted model for the parts that are not — which is, in fairness, what everybody does.
The curler: physiology, biomechanics and injury#
Much smaller, much more recent, and much more likely to be immediately useful. If you have ever wondered whether the ache in your knee after a bonspiel is normal, this literature has measured it.
The curler: physiology, biomechanics and injury#
Much smaller than the physics literature, and much more directly useful. If you want to know whether your knee is supposed to hurt, this is the section.
- Self-reported injury patterns among competitive curlers in the United States: a preliminary investigation into the epidemiology of curling injuriesBritish Journal of Sports Medicine, 2004.The source of the figures everybody quotes: 79% of competitive curlers report curling-related musculoskeletal pain, most often in the knee (54%), the back (33%) and the shoulder (20%). Sweeping and delivering are the two activities that provoke it.
- Start here The sports science of curling: a practical reviewJ. L. Bradley. Journal of Sports Science and Medicine 8, 495, 2009.What sweeping actually does to the ice and to the sweeper, written for coaches rather than for physicists. Open access, and still the clearest short account of why sweeping works at all.
- A pilot biomechanical assessment of curling deliveries: is toe sliding more likely to cause knee injury than flatfoot sliding?Sports Biomechanics, 2017.Compares the two delivery styles. Toe sliding produces the larger moment arm at the knee, which is the mechanical basis for advice most coaches were already giving.
- Start here An examination of studies related to the sport of curling: a scoping reviewE. Zacharias, N. Robak and S. Passmore. Frontiers in Sports and Active Living 6, 1291241, 2024.The right place to start on any curling question that is not the curl mechanism. It maps the whole research landscape — delivery, sweeping, wheelchair curling, strategy, psychology, injury, facilities — and is open access.
- Effects of sliding techniques on lower limb biomechanics and muscle synergy during curling delivery: joint kinetics and muscle coordinationFrontiers in Bioengineering and Biotechnology, 2025.A more recent and more instrumented look at the same question.
- Cognitive visual strategies are associated with delivery accuracy in elite wheelchair curling: insights from eye-tracking and machine learningFrontiers in Psychology, 2025.Where elite wheelchair curlers look, and how well that predicts whether they make the shot.
Strategy and analytics#
The newest of the four literatures and the one most likely to tell you something a good skip would dispute. Several of these results contradict conventional wisdom, and the disagreements are worth taking seriously in both directions: the models are built on real games, and the skips have played them.
Strategy and analytics#
Win probability, when to blank, and what the numbers say about decisions curlers make by instinct. Several of these disagree with conventional wisdom.
- Action selection for hammer shots in curlingProceedings of IJCAI, 2016.A search-based shot selector tested against real hammer situations from the 2010 Olympics, reported as beating the average outcome the Olympic teams themselves achieved. Closely related to what the computer opponent here does.
- Start here An analysis of curling using a three-dimensional Markov modelJournal of Sports Analytics 5, 101, 2019.Builds win probability from eighteen years of Canadian championship data and then uses it to answer strategy questions. Its most-quoted conclusion is that a team with hammer facing the choice between taking one and blanking should usually blank.
- The evolution of curling analyticsMIT Sloan Sports Analytics Conference, 2020.How the sport got from shot percentages to expected-score models, by people who were there.
- Building an all-shot expected-score distribution model from real-match curling boards: shot-wise accuracy and plausibility analysisApplied Sciences 16, 6943, 2026.Trained on real board positions from World Curling championship events rather than on simulated ones.
Official documents#
The primary sources. Anything on any curling website — including this one — that disagrees with these is wrong.
- The Rules of Curling and Rules of Competition (World Curling)The actual rulebook, revised every July, about seventy pages including a glossary that settles most arguments. Rules R1 to R19 are the game; C1 to C10 are how competitions are run. If a claim about the rules on any website disagrees with this, this wins.
- Specifications for brushes in elite curling (World Curling)The equipment regime that came out of Broomgate, and the approved product list that goes with it. Updated more often than the rulebook.
- World Curling results and records databaseEvery championship game since the beginning, by association, by team and by player. The all-time records section is the primary source for most of what gets quoted about curling history.
- Curling Canada rules and officiating documentsWhere Canadian domestic rules differ from the international ones — and they do — this is the authority for the difference.
Data and statistics#
Where the numbers come from, if you want to compute rather than to cite.
- CurlingZoneThe de facto statistical record of competitive curling: results, rankings, shot percentages and team histories going back decades. Most curling analytics work starts here.
- World Curling Federation world rankingsHow Olympic and world championship qualification is actually decided.
- Throwing Rocks — Glenn PaulleyA working statistician writing about curling numbers seriously and at length, including the scoring metrics that commentators use without explaining. One of the few blogs that is genuinely a research resource.
- The club API on this siteIf what you want is structured curling data you can query — rosters, results, standings — rather than somebody else’s conclusions.
Elsewhere#
Not research, but primary in their own way: the people and institutions that hold the objects and the records.
- World Curling: history of curlingThe governing body’s own account, and the source most other histories are downstream of.
- Kays of ScotlandThe manufacturer that holds the exclusive rights to Ailsa Craig granite, describing how a stone is made. A primary source about an object almost nobody has seen being made.
- The Curling NewsThe sport’s trade press. Where equipment controversies get covered properly.
- Stirling Smith Art Gallery and MuseumHolds the Stirling Stone, dated 1511, which is the oldest curling stone known to exist.
Getting hold of papers you cannot open#
A good deal of the physics literature sits behind paywalls, and a curler with a question should not have to pay a journal ninety dollars to learn why their stone bends. Three things that legitimately work:
- arXiv. Physics preprints are routinely posted there by their authors. Murata's 2022 measurement paper, for instance, is at arXiv:2203.00347 in full.
- Ask the author. Sending a polite email to a corresponding author asking for a copy of their own paper is a completely normal thing to do, it is legal, and the answer is very often yes within a day. Academics generally like being read.
- Check the journal first. Scientific Reports, Frontiers and the Journal of Sports Science and Medicine are open access throughout — which covers a surprising amount of the list above, including the two most useful review articles on the page.
This list is maintained by hand and is certainly incomplete, particularly outside English. If you know of work that belongs here — especially the Japanese glaciology literature, which is substantial and under-cited in the English-language debate — it is worth adding.