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GeoDict User Guide 2025

Triply Periodic Minimal Surfaces (TPMS))

What are Triply Periodic Minimal Surfaces (TPMS)?

To generate a TPMS-based structure, a volume field is used. With the threshold mode SmallerEqual ( ) the structure is composed of all parts of the volume field that have a solid volume fraction less or equal to the given threshold. If GreaterEqual () is chosen, then all parts with a higher solid volume fraction remain for the structure. The third mode GreaterEqualAndSmallerEqual ( && ) combines both of the previous mentioned threshold modes and therefore needs a lower and an upper threshold to be defined. Everything between the threshold values is kept for the structure.

The volume field on which the structure is based, may be viewed by selecting the Volume Field tab in the Visualization panel. Uncheck Structure to only display the volume field given by the solid volume fraction.

The slider in the threshold section can be used to observe the remaining structure when changing the threshold. Choose between , , and = mode. For the = mode, only the parts with exactly this threshold value are visible.

More information on how to choose the viewing settings can be found in the Visualization User Guide.

In the following, the resulting structures of all Shape Modes are shown in both 3D-Rendering and 2D Cross Section View together with the default settings for each shape mode.

Cylindrical Shape Mode

hmtoggle_arrow0Gyroid

hmtoggle_arrow0I-WP

hmtoggle_arrow0Neovius

hmtoggle_arrow0P-W

hmtoggle_arrow0Schwarz-Diamond

hmtoggle_arrow0Schwarz-Primitive

hmtoggle_arrow0Custom

Square Shape mode

hmtoggle_arrow0Gyroid

hmtoggle_arrow0I-WP

hmtoggle_arrow0Neovius

hmtoggle_arrow0P-W

hmtoggle_arrow0Schwarz-Diamond

hmtoggle_arrow0Schwarz-Primitive

hmtoggle_arrow0Custom

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