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TPMS EXPLORATION:

CUSHIONING PORES

TPMS EXPLORATION:

CUSHIONING PORES

Triply Periodic Minimal Surface

A  -minimal surface-  is characterized by

the minimal area within a given boundaries.

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These shapes are found in nature from an equilibrium of homogeneous tension 

Minimal surfaces that are  -triply periodic- repeat in three-dimensions and

are considered crystalline structures

Gyroid Surface Construction

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Fundamental region

Surface patch

Cubic unit cell

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Source: Sam Whitehead

Assembly of batwing surface

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While experimenting with different TPMS geometries, I noticed that rays of light would flow through the entire structure, exposing patterns of open spaces distributed within the entire model

Upon closer inspection, light is shown to travel

across the midsole both laterally and axially,

revealing that the inner channels

do not run unidirectionally but actually

form a three-dimensional porous grid

that varies in both shape and arrangement

with respect to the chosen geometry

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Toct 2.png
Toct 3.png
Neovius 7.png
Diamond 2.png
Gyroid 3.png
Neovius 6.png
Diamond 3.png
Gyroid 2.png
Lipinoid 3.png
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I had gotten two miniature midsole models printed through friends at Hydra Research to physically inspect

the nature of these patterned pores.

 

While the parts had been too stiff to observe any significant deformation, their shadows had clearly displayed the presence of open internal channels 

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The first model implemented a 'Diamond' TPMS geometry

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The second model implemented a 'Neovius' TPMS geometry

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While the pores of the Neovius run perpendicular to the overall structure and are arranged as rectangular cross hairs, those of the Diamond travel through on an angle as equally spaced circles

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As foam naturally contains a multitude of air pockets, the pores of these TPMS geometries could offer a stable, foam-like form of cushioning for runners. The open spaces could handle impact from all angles and provide the added benefit of reduced weight

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