Function to define a variant of a supra-hexagonal grid

Description

sHexGridVariant is supposed to define a variant of a supra-hexagonal map grid. In essence, it is the subset of the supra-hexagon.

Usage

sHexGridVariant(r = NULL, nHex = NULL, shape = c("suprahex", "triangle", "diamond", 
  "hourglass", "trefoil", "ladder", "butterfly", "ring", "bridge"))

Arguments

r
an integer specifying the radius in a supra-hexagonal grid
nHex
the number of input hexagons in the grid
shape
the grid shape, either "suprahex" for the suprahex itself, or its variants (including "triangle" for the triangle-shaped variant, "diamond" for the diamond-shaped variant, "hourglass" for the hourglass-shaped variant, "trefoil" for the trefoil-shaped variant, "ladder" for the ladder-shaped variant, "butterfly" for the butterfly-shaped variant, "ring" for the ring-shaped variant, and "bridge" for the bridge-shaped variant)

Value

an object of class "sHex", a list with following components:

  • r: the grid radius
  • nHex: the total number of hexagons in the grid. It may differ from the input value; actually it is always no less than the input one to ensure a supra-hexagonal grid exactly formed
  • centroid: the 2D coordinates of the grid centroid
  • stepCentroid: a vector with the length of nHex. It stores how many steps a hexagon is awawy from the grid centroid ('1' for the centroid itself). Starting with the centroid, it orders outward. Also, for those hexagons of the same step, it orders from the rightmost in an anti-clock wise
  • angleCentroid: a vector with the length of nHex. It stores the angle a hexagon is in terms of the grid centroid ('0' for the centroid itself). For those hexagons of the same step, it orders from the rightmost in an anti-clock wise
  • coord: a matrix of nHex x 2 with each row specifying the 2D coordinates of a hexagon in the grid. The order of rows is the same as 'centroid' above
  • call: the call that produced this result

Note

none

Examples

# For "supraHex" shape itself sHex <- sHexGridVariant(r=6, shape="suprahex") library(ggplot2)
Attaching package: ‘ggplot2’ The following object is masked from ‘package:crayon’: %+%
#geom_polygon(color="black", fill=NA) # For "supraHex" shape itself sHex <- sHexGridVariant(r=6, shape="suprahex") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_suprahex <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="suprahex (r=6; xdim=ydim=11)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "triangle" shape sHex <- sHexGridVariant(r=6, shape="triangle") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_triangle <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="triangle (r=6; xdim=ydim=6)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "diamond" shape sHex <- sHexGridVariant(r=6, shape="diamond") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_diamond <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="diamond (r=6; xdim=6, ydim=11)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "hourglass" shape sHex <- sHexGridVariant(r=6, shape="hourglass") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_hourglass <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="hourglass (r=6; xdim=6, ydim=11)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "trefoil" shape sHex <- sHexGridVariant(r=6, shape="trefoil") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_trefoil <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="trefoil (r=6; xdim=ydim=11)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "ladder" shape sHex <- sHexGridVariant(r=6, shape="ladder") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_ladder <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="ladder (r=6; xdim=11, ydim=6)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "butterfly" shape sHex <- sHexGridVariant(r=6, shape="butterfly") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_butterfly <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="butterfly (r=6; xdim=ydim=11)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "ring" shape sHex <- sHexGridVariant(r=6, shape="ring") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_ring <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="ring (r=6; xdim=ydim=11)") + theme(plot.title=element_text(hjust=0.5,size=8)) # For "bridge" shape sHex <- sHexGridVariant(r=6, shape="bridge") df_polygon <- sHexPolygon(sHex) df_coord <- data.frame(sHex$coord, index=1:nrow(sHex$coord)) gp_bridge <- ggplot(data=df_polygon, aes(x,y,group=index)) + geom_polygon(aes(fill=factor(stepCentroid%%2))) + coord_fixed(ratio=1) + theme_void() + theme(legend.position="none") + geom_text(data=df_coord, aes(x,y,label=index), color="white", size=3) + labs(title="bridge (r=6; xdim=11, ydim=6)") + theme(plot.title=element_text(hjust=0.5,size=8)) # combined visuals library(gridExtra) grid.arrange(grobs=list(gp_suprahex, gp_ring, gp_diamond, gp_trefoil, gp_butterfly, gp_hourglass, gp_ladder, gp_bridge, gp_triangle), layout_matrix=rbind(c(1,1,2,2,3),c(1,1,2,2,3),c(4,4,5,5,6),c(4,4,5,5,6),c(7,7,8,8,9)), nrow=5, ncol=5)