Functions
	arrow (ax, a, b, color=blue)
	clip (poly, n, c)
	cell (ax, i, j, alpha=1)
	lattice (ax, filled)

Variables
str	OUT = Path(__file__).resolve().parents[1]/'figures'
str	blue = '#203547'
	B = np.array([[1,.35],[0,1.]])
	seeds = np.array([[-.32,-.3],[.2,-.32],[-.2,.17],[.31,.18],[.04,.42]])
list	images = [(p+[i,j],k) for i in range(-1,2) for j in range(-1,2) for k,p in enumerate(seeds)]
	square = np.array([[-.5,-.5],[.5,-.5],[.5,.5],[-.5,.5]])
list	grains = []
int	poly = 4*square.copy()
	edge_counts = Counter()
dict	edge_points = {}
	key = tuple(sorted((tuple(np.round(a,9)),tuple(np.round(b,9)))))
list	perimeter = [edge_points[e] for e,n in edge_counts.items() if n==1]
	area = sum(abs(np.dot(p[:,0],np.roll(p[:,1],-1))-np.dot(p[:,1],np.roll(p[:,0],-1)))/2 for p,_ in grains)
	colors = plt.get_cmap('Set2').colors
	fig
	axs
	figsize
	ax
	cx
	dx
	fieldfig
	bx
tuple	q = (np.array([[0,0],[1,0],[1,1],[0,1]])+[i,j])@B.T
	t
	color
	p = np.array([.2,.55]);ax.scatter(p,c=orange);ax.scatter((p+B[:,0]),c=orange);arrow(ax,p,p+B[:,0]);ax.text(.65,.78,'equivalent points',ha='center',fontsize=9)
	xlim
	ylim
	aspect
int	x = .12np.sin(2np.pi*x)
	v
	label
	c
	xlabel
	ylabel
	frameon
	False
	fontsize
	alpha
	pad
	h_pad
	w_pad
	bbox_inches
	dpi

Detailed Description

Translation lattice, affine field and periodically tiled polycrystal schematic.

Function Documentation

◆ arrow()

create_periodicity_figure.arrow	(	ax,
		a,
		b,
		color = blue )

Definition at line 13 of file create_periodicity_figure.py.

◆ cell()

create_periodicity_figure.cell	(	ax,
		i,
		j,
		alpha = 1 )

Definition at line 53 of file create_periodicity_figure.py.

◆ clip()

create_periodicity_figure.clip	(	poly,
		n,
		c )

Definition at line 22 of file create_periodicity_figure.py.

◆ lattice()

create_periodicity_figure.lattice	(		ax,
			filled )

Definition at line 59 of file create_periodicity_figure.py.

Variable Documentation

◆ alpha

create_periodicity_figure.alpha

Definition at line 88 of file create_periodicity_figure.py.

◆ area

create_periodicity_figure.area = sum(abs(np.dot(p[:,0],np.roll(p[:,1],-1))-np.dot(p[:,1],np.roll(p[:,0],-1)))/2 for p,_ in grains)

Definition at line 48 of file create_periodicity_figure.py.

◆ aspect

create_periodicity_figure.aspect

Definition at line 85 of file create_periodicity_figure.py.

◆ ax

create_periodicity_figure.ax

Definition at line 76 of file create_periodicity_figure.py.

◆ axs

create_periodicity_figure.axs

Definition at line 75 of file create_periodicity_figure.py.

◆ B

create_periodicity_figure.B = np.array([[1,.35],[0,1.]])

Definition at line 11 of file create_periodicity_figure.py.

◆ bbox_inches

create_periodicity_figure.bbox_inches

Definition at line 92 of file create_periodicity_figure.py.

◆ blue

str create_periodicity_figure.blue = '#203547'

Definition at line 10 of file create_periodicity_figure.py.

◆ bx

create_periodicity_figure.bx

Definition at line 77 of file create_periodicity_figure.py.

◆ c

create_periodicity_figure.c

Definition at line 88 of file create_periodicity_figure.py.

◆ color

create_periodicity_figure.color

Definition at line 83 of file create_periodicity_figure.py.

◆ colors

create_periodicity_figure.colors = plt.get_cmap('Set2').colors

Definition at line 51 of file create_periodicity_figure.py.

◆ cx

create_periodicity_figure.cx

Definition at line 76 of file create_periodicity_figure.py.

◆ dpi

create_periodicity_figure.dpi

Definition at line 92 of file create_periodicity_figure.py.

◆ dx

create_periodicity_figure.dx

Definition at line 76 of file create_periodicity_figure.py.

◆ edge_counts

create_periodicity_figure.edge_counts = Counter()

Definition at line 39 of file create_periodicity_figure.py.

◆ edge_points

dict create_periodicity_figure.edge_points = {}

Definition at line 40 of file create_periodicity_figure.py.

◆ False

create_periodicity_figure.False

Definition at line 88 of file create_periodicity_figure.py.

◆ fieldfig

create_periodicity_figure.fieldfig

Definition at line 77 of file create_periodicity_figure.py.

◆ fig

create_periodicity_figure.fig

Definition at line 75 of file create_periodicity_figure.py.

◆ figsize

create_periodicity_figure.figsize

Definition at line 75 of file create_periodicity_figure.py.

◆ fontsize

create_periodicity_figure.fontsize

Definition at line 88 of file create_periodicity_figure.py.

◆ frameon

create_periodicity_figure.frameon

Definition at line 88 of file create_periodicity_figure.py.

◆ grains

list create_periodicity_figure.grains = []

Definition at line 29 of file create_periodicity_figure.py.

◆ h_pad

create_periodicity_figure.h_pad

Definition at line 91 of file create_periodicity_figure.py.

◆ images

list create_periodicity_figure.images = [(p+[i,j],k) for i in range(-1,2) for j in range(-1,2) for k,p in enumerate(seeds)]

Definition at line 20 of file create_periodicity_figure.py.

◆ key

create_periodicity_figure.key = tuple(sorted((tuple(np.round(a,9)),tuple(np.round(b,9)))))

Definition at line 43 of file create_periodicity_figure.py.

◆ label

create_periodicity_figure.label

Definition at line 87 of file create_periodicity_figure.py.

◆ OUT

str create_periodicity_figure.OUT = Path(__file__).resolve().parents[1]/'figures'

Definition at line 8 of file create_periodicity_figure.py.

◆ p

create_periodicity_figure.p = np.array([.2,.55]);ax.scatter(*p,c=orange);ax.scatter(*(p+B[:,0]),c=orange);arrow(ax,p,p+B[:,0]);ax.text(.65,.78,'equivalent points',ha='center',fontsize=9)

Definition at line 84 of file create_periodicity_figure.py.