Starts an interactive shinydashboard application that exposes the main functionality of the package: low-dimensional formulas, series methods, decomposition, Monte Carlo, dispatcher diagnostics, and 3D visualisation. Intended as an exploratory tool and a teaching resource.
Details
The dashboard is structured into thematic tabs covering 2D and 3D
visualisation modules, circular and intersecting cone explorers,
high-dimensional methods (hypergeometric and tridiagonal series),
the decomposition route for general cones, Monte Carlo estimation
with uncertainty quantification, ecological feasibility domains via
the multivariate-normal branch of compute_solid_angle,
uniform cone-sampling diagnostics, and a theory tab with the
mathematical background.
Required Suggested packages: shiny, shinydashboard,
shinyWidgets, ggplot2, DT, plotly. The
function checks for them at start-up and stops with an installation
hint if any are missing.
References
Chang, W., Cheng, J., Allaire, J. J., Sievert, C., Schloerke, B., Xie, Y., Allen, J., McPherson, J., Dipert, A., & Borges, B. (2024). shiny: Web Application Framework for R. R package version 1.8 or later. https://shiny.posit.co/.
See also
compute_solid_angle, diagnose_cone for
the analytical engines exposed in the dashboard;
plot_cone_3d, plotIntersectingCones for
the embedded 3D visualisations.