Four roles. One running shoe.A generic running shoe separates into a woven upper, compressible foam, a curved stiff plate and a curved outsole. Labels explain the role of each part.1234
UpperWraps the foot and holds the fit.
FoamCompresses under load. Stores and returns some energy.
Curved plateResists bending and changes how the system is loaded.
Rocker + outsoleShape guides the roll. Rubber meets the road.
  1. UpperWraps the foot and holds the fit.
  2. FoamCompresses under load. Stores and returns some energy.
  3. Curved plateResists bending and changes how the system is loaded.
  4. Rocker + outsoleShape guides the roll. Rubber meets the road.

Different jobs. Shared load.Soft foam, a stiff curved element and a shaped sole change how a shoe responds.

Conceptual anatomy. Layer placement and geometry vary between shoes.

Nike Alphafly 4 · Photography: Nike ↗

Scroll to look inside

Engineered
to Run.

A super shoe is a material, a structure and a shape.

  1. UpperWraps the foot and holds the fit.
  2. FoamCompresses under load, storing and returning some energy.
  3. Carbon plateResists bending and changes how the shoe is loaded.
  4. Rocker + outsoleShape guides the roll; the outsole meets the road.

Photograph: Nike Alphafly 4. Model: generic anatomy, not this product or a product specification.

A stride before.

From a legend in sandals
to an imagined future.

Three-dimensional contour drawing of an imagined ancient Greek messenger running in flat strapped sandals.
Ancient GreeceA legend, interpreted.
Contour drawing of a modern high-stack super shoe, with a curved plate inside its midsole.
Super shoesA system, engineered.
An imagined pair of 22nd-century running shoes with sculptural open-lattice soles.
The 22nd centuryA possibility, imagined.

The opening moves from an imagined ancient Greek runner in sandals, through a modern super shoe, to a speculative pair from the 22nd century.

A stride before the science.

An ancient messenger, imagined in flat sandals.

An artistic journey, from the marathon legend to a speculative future. The ancient runner’s footwear is an interpretation; the final pair is not a product or a performance prediction.

A little more spring.
A lot of engineering.

A super shoe is more than a slab of foam and a carbon plate. It’s a system that bends, compresses and returns energy—with a runner at the centre.

See how it is made

The race changed.
So did the shoe.

More room to compress. Less material to carry. The design challenge became fitting useful spring under a runner while controlling mass and stability.

Kipchoge’s 2:00:25 at Breaking2 in 2017. Then 1:59:40.2 in Vienna in 2019. Both were exhibitions. The shoe was one part of the system.

Runners in Breaking2 kit, with pale blue Vaporfly Elite shoes suspended mid-stride.
Breaking2, 2017. Photograph: Nike.
2017 Nike Zoom Vaporfly Elite in profile: a pale blue knit upper over a tall, curved white midsole.
The 2017 Zoom Vaporfly Elite. A real shoe from the Breaking2 project. The diagrams in this article explain general mechanisms; they do not reconstruct this product. Photograph: Nike.
Eliud Kipchoge runs past spectators in the final 200 metres of the 2019 INEOS 1:59 Challenge in Vienna.
Eliud Kipchoge, Vienna, 12 October 2019. Photograph: Triathlet 79 / CC BY-SA 4.0.
01Dissolve gas
Physical foaming: dissolve gas under pressure, nucleate cells, grow cells, stabilize the structure.

Enlarged cellular schematic
Geometry and timing are illustrative.

How does a polymer
become a spring?

The material is only the beginning. The process gives it structure.

  1. Dissolve
  2. Nucleate
  3. Grow
  4. Set

Gas dissolves in the polymer under pressure.

  1. Gas dissolvesPressure helps gas dissolve into the polymer.
  2. Cells form and growAs pressure falls, cells form and expand.
  3. SetCooling stabilizes the cellular structure.

One physical-foaming route. Glass-to-matte shading marks cooling. Zhang et al., 2025 ↗

Watch the cell walls, not just the air.A schematic cross-section of a cellular foam compresses between two plates. The cells become flatter as their walls bend, then recover when the load is removed.123
Load comes inThe upper surface presses down on the cellular structure.
Walls deformThe polymer network bends as the foam compresses.
The structure recoversRemoving the load lets the cells recover. Some energy is lost.
  1. Load comes inThe upper surface presses down on the cellular structure.
  2. Walls deformThe polymer network bends as the foam compresses.
  3. The structure recoversRemoving the load lets the cells recover. Some energy is lost.

Release.The structure recovers and returns some of the stored energy.

Illustrative cell structure and deformation. Not a calibrated material test.

What does the
empty space do?

Cell walls deform under load, then recover. Compression and energy return describe different things.

  1. LoadA downward load compresses the foam.
  2. CompressionHow far it deforms under a given load.
  3. ReturnSome stored energy returns on release; some is dissipated as heat.

Glass forms mark cell spaces; real foam deforms through its cell walls. Shape recovery is not energy return. Hoogkamer et al., 2018 ↗

0°45°-45°90°
Four thin carbon-fiber plies follow a curved shape during consolidation. This illustrative thermoset layup is not a shoe production specification.
0°+45°−45°90°

Why does strength
have a direction?

This schematic stacks four plies. Fibre direction changes how a laminate bends.

  1. One plyFibres resist stretching most strongly along their length.
  2. Four angles, one sheetThis example combines 0°, +45°, −45° and 90° plies.
  3. Shaped and curedThe illustrated layup is shaped and cured; commercial methods vary.

Illustrative thermoset layup. Four angles are one example; commercial processes vary. Hexcel prepreg technology ↗

Weight is one question.
Shape is another.

Look at the same shoe model in two ways. A scale shows mass. A side profile reveals curvature.

Adidas Adizero Adios Pro Evo 3 on a digital scale, whose display reads 97.27 grams.
Adizero Adios Pro Evo 3. Manufacturer photograph: adidas. The pictured reading belongs to this image; it is not an independent test.
The same Adidas model in profile between measuring rulers, showing its curved forefoot and heel.
Side profile of the same model. Photograph: RunRepeat. The rocker shape is visible; this photograph is not a dynamic test.
Contact moves. The whole system responds.A generic running shoe touches down at the rear, loads through midstance and rotates over its forefoot toward toe-off. A marker shows the changing contact location.123
A changing contactThe contact region shifts forward through the step.
A loaded midsoleFoam, plate and foot share the load.
A curved transitionRocker geometry helps govern the roll toward toe-off.
  1. A changing contactThe contact region shifts forward through the step.
  2. A loaded midsoleFoam, plate and foot share the load.
  3. A curved transitionRocker geometry helps govern the roll toward toe-off.

Roll toward toe-off.The heel rises and contact moves toward the forefoot.

One simplified rearfoot-contact sequence. Runners land differently; this is not a pressure map.

What happens
in one step?

A simplified rearfoot-contact step shows how the shoe meets the ground. Runners land differently.

  1. Contact movesIn this example, contact begins at the heel and moves forward.
  2. MidstanceThe foot and shoe share load through ground contact.
  3. Toward toe-offThe heel lifts as contact moves toward the forefoot.

Schematic rearfoot-contact sequence, not a measured pressure trace or gait model. Hoogkamer et al., 2019 ↗

A shoe upper.
Spun into place.

A robot lays a continuous filament around a last. The textile takes shape in three dimensions.

A continuous filament gradually wraps a foot-shaped last, forming the upper. Use the Spin the upper slider to move through the sequence.

Generic last and path illustration

Plays once when you reach it.

Inspect the forming upper
Start with the last
Bare lastFormed upper

1.5 km

of filament per upper, reported by On

3 min

for upper formation, reported by On

Manufacturer figures: On LightSpray, July 2025

On reports a 1.5-kilometre filament and a three-minute process for its one-piece LightSpray upper. These figures describe the upper, not a finished shoe. The animation is a generic illustration of depositing filament on a last; it does not reproduce On’s equipment, tool path or production speed. Read On’s factory announcement.

How much
comes back?

In this historical whole-shoe test, the prototype returned more joules. The percentage alone doesn’t tell the whole story.

01

Compression

Downward displacement · mm

Measured endpoints from the whole-shoe mechanical test reported in Hoogkamer et al., 2018, Figure 3.06126.1NS5.9AB11.9NP

Nike prototype11.9 mm

02

Returned energy

Mechanical energy · J

Measured endpoints from the whole-shoe mechanical test reported in Hoogkamer et al., 2018, Figure 3.0483.28NS3.56AB7.46NP

Nike prototype7.46 J

03

Resilience

Share of stored energy returned · %

Measured endpoints from the whole-shoe mechanical test reported in Hoogkamer et al., 2018, Figure 3.05010065.5NS75.9AB87.0NP

Nike prototype87.0%

Whole-shoe laboratory test, about 2,000 N peak force over 185 ms. These measured endpoints compare one historical prototype with two racing shoes, not isolated foams. Hoogkamer et al., Figure 3 ↗

The share returned matters. So does how much energy was stored. Greater compression was a major contributor to the prototype’s greater energy return.

≈4%Average energetic-cost reduction in the original prototype comparison. A laboratory result.

Less energy at the same speed.

Eighteen male runners. Mass-matched shoes. Three running speeds. The result does not mean every runner finishes every race four percent faster.

Hoogkamer et al., 2018 ↗

The average doesn’t
choose your shoe.

Three super shoes. Twenty-two trained runners. Similar group results—and a different story within each runner.

Across the group.

Mean energetic cost of transport (J/kg/m)

Asics Metaspeed Sky+4.13 ± 0.30
Nike Alphafly Next% 24.13 ± 0.32
Puma Fast-R Nitro Elite v14.16 ± 0.35

Mean ± standard deviation. No significant difference (p = 0.246). This does not establish equivalence.

Within each runner.

Observed best-to-worst shoe difference

2.71%average difference

Reported range, not a prediction or confidence interval. One trial per shoe; measurement variability can affect individual differences.

Fohrmann et al., 2026 · Read the study ↗

What works
for your stride?

Look past the ingredient list. Ask what deforms, what directs the load, and what was actually measured.

Go deeper into the research
Read the full article

The story behind the system

Engineered to Run

Adapted from Engineered to Run. For Stanford d.school students who run. Research cutoff: .

01The design problem

How much useful spring fits under a runner?

Old racing flats asked how little shoe a fast runner could tolerate. Super shoes ask how much useful spring can fit underfoot before mass and instability erase the gain.

Breaking2 made the new system visible: tall, low-density foam, a curved stiff element, rocker geometry and a controlled race environment. The shoe was one part of the sub-two-hour story.

In the original Vaporfly study, the prototype returned more mechanical energy mainly because it compressed much more, alongside its greater resilience. The total energy returned matters as well as the percentage returned. [1]

How the question changed

2013
Expanded TPU bead foam, seen in Boost, showed that midsoles could be resilient and temperature-stable without being conventional EVA. [8]
2017
Kipchoge runs 2:00:25 at Breaking2 in Monza. An exhibition, not a ratified record.
2018
Hoogkamer and colleagues publish a controlled study showing about 4% average energetic-cost reduction. [1]
2019
INEOS 1:59:40.2 passes the two-hour barrier in another exhibition. Biomechanics papers complicate the carbon-spring explanation. [2]
2020–26
Rules, diffusion into training shoes and individual-response research shift attention toward how the whole system fits the runner. [6] [10]
02Foam

Foam is architecture.

A foam has chemistry, a brand, a manufacturing process, a cell structure and a final behavior inside the shoe. PEBA, TPU, aliphatic TPU, TPEE and EVA are material families. Their names alone do not specify a finished midsole’s performance. [7] [8]

The runner feels density, compression, rebound, shear stability, fatigue and temperature behavior. Processing and cellular structure help shape those properties.

Supercritical processing involves controlled gas dissolution, nucleation and cell growth. It does not simply mean larger air pockets. [9]

Percent resilience describes the share of energy returned. How much energy a shoe stores and returns also depends on how it deforms under load. In the early prototype study, greater compression was a major contributor to its greater mechanical energy return. [1]

The interactive foam is a schematic. Cell shapes and deformation are illustrative, with no calibrated material properties.

03Plate and geometry

The plate manages motion.

Carbon composites carry loads directionally: fiber orientation and laminate layup influence their stiffness. Inside a shoe, the plate can reduce toe bending, spread load through the foam, stabilize the stack and work with the rocker geometry. [2]

The plate is not a standalone trampoline. In one Vaporfly study, cutting the plate reduced bending stiffness without substantially changing running economy. The finding points back to the interaction between components; it does not establish that all plates are ineffective. [3]

“The plate amplifies the foam” is a tempting shortcut. The more careful description is that the plate shapes how the runner loads the foam and joints. A separate amplification mechanism is not directly demonstrated by that statement.

The rocker contributes through shape. Its curve helps govern the transition through contact as loading moves forward. The useful question concerns foam, structure, geometry and the runner together.

04Evidence

Economy is not speed.

Mechanical energy return
A shoe or material test measures how much mechanical energy comes back.
Running economy
Metabolic cost is measured while a runner maintains a fixed speed.
Race performance
Time over distance also involves fatigue, weather, pacing and tactics.

The early “4%” was an average reduction in energetic cost in a controlled laboratory comparison. It was not a universal race-time discount. [1]

Kipp, Kram and Hoogkamer modeled why an economy gain can translate into a smaller speed gain at elite marathon pace. A rough translation may be closer to two-thirds of the economy improvement, depending on speed and assumptions. This is a modeled relationship, not a personal prediction. [4]

Later studies show that both the shoe model and the runner’s response matter. Materials and geometry change what a shoe can offer; individual response helps determine what happens in use. [5] [6]

Look past the ingredient list. Ask what deforms, what directs the load and what was actually measured. A review can describe feel, fit and use. It cannot establish a metabolic benefit.

The supplied article’s optional slider model used invented coefficients to illustrate tradeoffs. Neither that model nor the schematic 3D interactions predict physiology or marathon performance.

05Sources

The research and material references carried with the supplied article, with its September 14, 2026 cutoff.

  1. Hoogkamer et al. · 2018

    Controlled energetic-cost study, including the original Vaporfly result and the deformation/energy-return distinction.

  2. Hoogkamer et al. · 2019

    Biomechanics of the running-shoe system.

  3. Healey & Hoogkamer · 2022

    The plate-cutting experiment. Publisher link substituted for an unrelated DOI in the supplied article; full text not rechecked.

  4. Kipp, Kram & Hoogkamer · 2019

    Modeled relationship between metabolic savings and speed.

  5. Joubert & Jones · 2022

    Comparison across running-shoe models.

  6. Fohrmann et al. · 2026

    Individual response to advanced footwear.

  7. Arkema · Pebax elastomer family

    Manufacturer reference for material-family background.

  8. BASF · Infinergy

    Manufacturer reference for expanded TPU bead foam.

  9. Supercritical TPU review

    Processing and cellular structure.

  10. World Athletics · Shoe regulations

    The regulations referenced by the supplied article.

+Supporting field notes

What that feels like on a run.

Three source excerpts about the Adidas Adizero EVO SL, a daily trainer. These are observations about ride, fit and preference, separate from measured biomechanics and running economy.

The Run Testers · Verbatim excerpt

I think it's a really strong daily trainer and I'm really looking forward to go out and running in it again

Adidas Adizero Evo SL First Run Review: An exciting new daily trainer · 5:24

EDDBUD · Verbatim excerpt

So, that's my take on that industry disruptor, the Adidas Adizero Evo SL. I mean, I've got three pairs. I wear two of them. The ATR model isn't my cup of tea at all. So, wearing a bin bag on your foot. It's all about the woven version for me. That is pure heaven.

Adidas Evo SL: The Shoe That Shook the Industry · 6:35

Sagasu Running · Verbatim excerpt

the newer production model, which is going to run a little bit smaller, a little bit tighter, and you may want to size up half a size to get the fit you want

The Adidas Evo SL has a 46% fit satisfaction rate · 7:04

YEAH review verdict

Adidas Adizero EVO SL · D · 73/100 · Consider

CONSIDER at MED confidence — 68 reviews across 11 creators

Stored review consensus from the supplied fixture. This is separate from the article’s laboratory evidence and does not measure running economy. The fixture’s grade ladder places scores below 76 in D.

Manufacturing sources & methods

The original article’s research cutoff remains 14 September 2026. Manufacturing sources and the plotted studies were checked on 20 September 2026. All process scenes are authored schematics.

Photography update, 20 September 2026: Nike Alphafly 4 official photography and film, published 17 September. Product media illustrates surface detail; the anatomy scenes are generic, and the historical study graphics identify the shoes actually tested. Light reveals are editorial presentation effects. Media credit: Nike.

  1. Zhang et al., 2025: physical foaming review
    Gas dissolution, nucleation, cell growth and stabilization. Full text checked. This review describes mechanisms, not a proprietary commercial foam recipe.
  2. BASF: expanded TPU and steam fusion
    Manufacturer account of the Infinergy / Energy Boost bead route. Internal cells and the larger bead structure are separate scales.
  3. Zhang et al., 2021: TPU bead and sheet experiments
    Abstract and captions checked. Distinguishes making expanded beads from molding them together; not a universal recipe.
  4. Hexcel: Prepreg Technology manual
    General composite layup, consolidation and cure. The illustrative thermoset route does not establish any shoe maker’s layup or processing cycle.
  5. On: LightSpray factory, July 2025
    Manufacturer-reported filament length and time for upper formation only. Robot path and last are generic illustrations.

The mechanical infographic uses published whole-shoe endpoints. It does not reconstruct a measured force curve. The 2026 range uses the reported minimum, maximum and mean; no individual participant observations have been fabricated.

Photography & illustration credits

Opening: original procedural 3D line artwork created for YEAH. The ancient runner interprets the marathon legend; the sandals are an artistic choice. Modern footwear is generic. The final pair imagines the 22nd century, without performance claims. This is an editorial sequence, not a historical reconstruction or measured simulation.

Vienna 2019: Triathlet 79, via Wikimedia Commons, CC BY-SA 4.0. The final 200 metres of the INEOS 1:59 Challenge, 12 October 2019. Resized and converted to WebP; published image variants retain CC BY-SA 4.0. Documentary use does not imply athlete endorsement.

Breaking2 stride photograph and 2017 Zoom Vaporfly Elite product photograph: Nike, from the supplied files; resized and converted to WebP. Breaking2 context · 2017 product release.

Adizero Adios Pro Evo 3 on a scale: adidas product media, supplied in the handover. Rocker photograph: RunRepeat, supplied separately; resized. These images are credited to their sources and do not establish a performance result or imply endorsement.

Nike Alphafly 4 film and product photographs: Nike, from the supplied feature. Authored technical graphics are generic explanatory schematics. The original article and research references are preserved above.