7. Negotiation

Webb, Julian; Maughan, Caroline; Maughan, Mike; Keppel-Palmer, Marcus; Boon, Andrew

doi:10.1093/he/9780198787693.003.0007

Cited by 1 publication

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“…The global view gives an overview of the possible 2D slices of the polytope from which we can better understand what types of symmetries are possible. For example, in Figure 3 we show a 16-cell which is the four-dimensional version of an octahedron in both Hypersliceplorer (Figure 3b) and as a Schlegel diagram (Figure 3a) using the Stella4D software [Web17]. In this case, each face of the 16-cell is a simplex.…”

Section: Polytopesmentioning

confidence: 99%

Hypersliceplorer: Interactive visualization of shapes in multiple dimensions

Torsney-Weir

Möller

Sedlmair

et al. 2018

Computer Graphics Forum

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a) Global view (b) Local viewFigure 1:The interface for browsing slices created by the Hypersliceplorer algorithm. In this case we show slices of a 4D hypersphere. Each plot shows a pair of dimensions laid out in the same way as HyperSlice [vWvL93]. The interface has two modes: global and local view. The global view (a) shows the results of sampling over a number of focus points. The views are linked through highlighting a slice. The local view (b) shows a single selected slice and then the user can add additional slices by clicking the "+ FP" button. The location of each local focus point is shown as a colored dot and the corresponding slice is also colored accordingly. AbstractIn this paper we present Hypersliceplorer, an algorithm for generating 2D slices of multi-dimensional shapes defined by a simplical mesh. Often, slices are generated by using a parametric form and then constraining parameters to view the slice. In our case, we developed an algorithm to slice a simplical mesh of any number of dimensions with a two-dimensional slice. In order to get a global appreciation of the multi-dimensional object, we show multiple slices by sampling a number of different slicing points and projecting the slices into a single view per dimension pair. These slices are shown in an interactive viewer which can switch between a global view (all slices) and a local view (single slice). We show how this method can be used to study regular polytopes, differences between spaces of polynomials, and multi-objective optimization surfaces.

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Section: Polytopesmentioning

confidence: 99%