Unfolding Level 1 Menger Polycubes of Arbitrary Size With Help of Outer Faces

In this article, we suggest a grid-unfolding of level 1 Menger polycubes of arbitrary size with L holes along the x-axis, M the y-axis and N the z-axis. These polycubes can have a high genus, and most vertices are of degree 6. The unfolding is based mainly on the inner faces (that do not lie on the...

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Bibliographic Details
Published inDiscrete Geometry for Computer Imagery pp. 457 - 468
Main Authors Richaume, Lydie, Andres, Eric, Largeteau-Skapin, Gaëlle, Zrour, Rita
Format Book Chapter
LanguageEnglish
Published Cham Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
High genus object
Orthogonal polyhedra
Polycube
Unfolding
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Summary:In this article, we suggest a grid-unfolding of level 1 Menger polycubes of arbitrary size with L holes along the x-axis, M the y-axis and N the z-axis. These polycubes can have a high genus, and most vertices are of degree 6. The unfolding is based mainly on the inner faces (that do not lie on the outer most envelope) except for some outer faces that are needed to connect lines or planes in the object. It is worth noticing that this grid-unfolding algorithm is deterministic and without refinement.
ISBN:3030140849
9783030140847
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-030-14085-4_36