10 citations · 10 across the 11 of their papers we have counts for
13 papers
A pyramidal ISRU lunar habitat design based on topological interlocking of sintered regolith blocks
Lukas Schnelle, Kai-Uwe Schröder, Alice C. Niemeyer +1
In this framing study, we propose a new lunar-habitat design based on topological interlocking of the building blocks. The design combines block geometries that permit interlocking…
Polyhedral Maps of Cubic Graphs with given Automorphism Groups
Ugo Detaille, Meike Weiß, Reymond Akpanya +1
L. Babai introduced a method for constructing a cubic graph whose automorphism group is isomorphic to a given finite group , obtained by modifying a corresponding Cayley graph o…
An algorithmic approach for computing fundamental domains of crystallographic groups
Reymond Akpanya, Alice C. Niemeyer, Lukas Schnelle
A crystallographic group is a discrete subgroup of the Euclidean group that has a compact fundamental domain. Since such a crystallographic group is infin…
Construction Methods for Space-Filling Heterogeneous Topological Interlocking Assemblies
Meike Weiß, Alice C. Niemeyer
Deforming fundamental domains of wallpaper groups provides a systematic way to generate non-convex blocks which admit topological interlocking assemblies (TIAs). We use this approa…
Influence of the geometry on the mechanical performance of tubular interlockings: A study of the Sine Block
Domen Macek, Meike Weiß, Reymond Akpanya +3
Topological interlocking assemblies (TIA) are arrangements of blocks such that rigid-body motions of the blocks are fully constrained by their neighbours and a fixed frame. In this…
On 3-Connected Planar Graphs with Unique Orientable Circuit Double Covers
Meike Weiß, Reymond Akpanya, Alice C. Niemeyer
A circuit double cover of a bridgeless graph is a collection of even subgraphs such that every edge is contained in exactly two subgraphs of the given collection. Such a circuit do…
Influence of a generative parameter on the mechanical performance of topological interlocking assemblies of a hexagonal block
Lukas Schnelle, Meike Weiß, Reymond Akpanya +2
A topological interlocking assembly is an arrangement of blocks, where all blocks are kinematically constrained by their neighboring blocks and a fixed frame. This concept has been…
On 3-Connected Cubic Planar Graphs and their Strong Embeddings on Orientable Surfaces
Meike Weiß, Reymond Akpanya, Alice C. Niemeyer
Although the strong embedding of a 3-connected planar graph on the sphere is unique, can have different inequivalent strong embeddings on a surface of positive genus. If $G…
Construction of Toroidal Polyhedra corresponding to perfect Chains of wild Tetrahedra
Reymond Akpanya, Vanishree Krishna Kirekod, Alice C. Niemeyer +1
In 1957, Steinhaus proved that a chain of regular tetrahedra, meeting face-to-face and forming a closed loop does not exist. Over the years, various modifications of this statement…
Interplay of Cubic Graphs and Simplicial Surfaces
Meike Weiß, Alice C. Niemeyer
Simplicial surfaces describe the incidence relations between vertices, edges and faces of triangulated 2-dimensional manifolds in a purely combinatorial way. By considering only th…
Strong Embeddings of 3-Connected Cubic Planar Graphs on Surfaces of non-negative Euler Characteristic
Meike Weiß, Alice C. Niemeyer
Whitney proved that 3-connected planar graphs admit a unique embedding on the sphere. In contrast, Enami investigated embeddings of 3-connected cubic planar graphs on non-spherical…
Topologically Interlocking Blocks inside the Tetroctahedrille
Reymond Akpanya, Tom Goertzen, Alice C. Niemeyer
A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be remove…
Mechanical Comparison of Arrangement Strategies for Topological Interlocking Assemblies
Tom Goertzen, Domen Macek, Lukas Schnelle +4
Topological Interlocking assemblies are arrangements of blocks kinematically constrained by a fixed frame, such that all rigid body motions of each block are constrained only by it…