Tartans¶

Tartan is a traditional Scottish fabric pattern consisting of intersecting horizontal and vertical stripes in various colors. Tartans are a part of the Scottish highland dress.

A lithograph of a member of the Scottish Highland clan of Campbell dressed in the Campbell tartan.¶

The Scottish Register of Tartans lists thousands of tartan designs that were created for use by various clans, localities, organizations etc.

Making a tartan¶

Vertical and horizontal stripes of a tartan have the same pattern:

In order to combine these pictures into an image of a tartan we can use a checkerboard that alternates between showing vertical and horizontal stripes. In the image below vertical stripes were given slightly darker colors to show this pattern more clearly:

The resulting image will look as follows:

A more realistic image of a tartan can be obtained by modifying the way in which vertical and horizontal stripes are combined. Instead of using the checkerboard pattern, each column of pixels shows two pixels of vertical stripes, then two pixels of horizontal stripes and so on. In each subsequent column this pattern gets shifted down by one pixel:

This method was used to produce the following picture:

Recipe for a tartan¶

To specify the design of a tartan it suffices to give widths and colors of its vertical stripes. Since horizontal stripes have the same pattern as the vertical ones, there is no need to describe them separately. For example, the pattern of stripes of the Campbell tartan can be described as follows:

B14 K6 B6 K6 B6 K32 OG32 K6 OG32 K32 B32 K6 B6 K6 B32 K32 OG32 K6 OG32 K32 B6 K6 B6 K6 B28

The letter codes B, K, OG indicate different stripe colors, and the number following each letter code is the width of the stripe. In the production of tartan fabrics this number gives the number of threads in the stripe. In computer generated images of tartans we can take it to be the width of the stripe in pixels or some other units. The pattern will repeat to fill an image of an arbitrary size.

To complete the description of a tartan one needs to specify what color each letter code stands for. This can be done e.g. by giving RGB coordinates of each color:

B : [52, 80, 100], K : [16, 16, 16], OG : [92, 100, 40]

Project¶

The table below lists several tartan patterns. Take your UB person number and mod by 31 (PN%31) to produce a number between 0 and 30. You will use the corresponding tartan for the project. Find that tartan and write a function show_tartan(n) that produces an image of this tartan of dimensions n x n threads, with pattern repeating as many times as needed to fill the whole image.

For bonus points, write your function to take three inputs: the desired size n, a dictionary containing the color definitions, and a string defining the pattern. This will require additional code, primarily, a new function to deconstruct the pattern string into a more usable format.

Note. This is a programming project. Your project report does not need to include narrative, beyond comments explaining how your code works. The project will be graded according to the following rubrics:

Reproduction of the assigned tartan: 70%
Report organization and code documentation: 30%

Tartan	Description
	Alexander (0) DR15 DN40 DW12 K8 DN20 DW44 K56 DN12 DR12 DW44 DN12 DR4 DW24 K4 DW6 DN20 DW6 K4 DW24 DR4 DN12 DW44 DR12 DN12 K56 DW44 DN20 K8 DW12 DN40 DR15 DR : [140, 0, 0] DN : [100, 108, 100] K : [0, 0, 0] DW : [176, 176, 176]
	Holyrood Golden Jubilee II (1) NB48 A24 GO6 WW6 GO6 DR22 NB10 DR4 GO14 WW4 GO14 DR4 NB10 DR22 GO6 WW6 GO6 A24 NB48 A : [92, 140, 168] DR : [136, 0, 0] GO : [188, 140, 0] WW : [248, 248, 248] AB : [24, 112, 164] NB : [0, 60, 100]
	Recovery (2) R10 LG4 R8 B8 R20 G24 K4 G4 K4 G4 K4 G4 K4 G20 B4 G4 B4 G4 B4 YY4 B24 YY4 B4 G4 B4 G4 B4 G20 K4 G4 K4 G4 K4 G4 K4 G24 R20 B8 R8 LG4 R10 K : [16, 16, 16] R : [200, 0, 0] YY : [252, 204, 0] G : [0, 104, 24] B : [44, 44, 128] LG : [40, 156, 24]
	Van Loo (3) LB5 P4 B60 LB10 K50 B60 LB10 B60 K50 LB10 B60 P4 LB5 K : [16, 16, 16] B : [44, 44, 128] P : [120, 0, 120] LB : [40, 136, 196]
	MacKusick (4) RB8 K4 RB6 K24 P6 LN2 P6 K32 G6 LN4 DR2 LN4 G16 LN4 DR2 LN4 G6 K32 P6 LN2 P6 K24 RB6 K4 RB8 RB : [0, 0, 140] G : [0, 120, 0] DR : [140, 0, 0] K : [0, 0, 0] LN : [255, 255, 255] P : [100, 0, 140]
	Aberuchill (5) LP4 K2 OT10 DP30 OT30 G55 K4 O6 K4 G55 OT30 DP30 OT10 K2 LP4 LP : [180, 104, 172] K : [16, 16, 16] OT : [96, 56, 0] DP : [68, 0, 68] G : [0, 104, 24] O : [216, 124, 0]
	Carson Red (6) A19 R4 A6 R4 A6 K86 R44 G6 R44 K86 A6 R4 A6 R4 A19 R : [200, 0, 0] K : [16, 16, 16] G : [0, 104, 24] A : [68, 108, 132]
	Ballantyne (7) N60 G26 N18 DR16 Y8 DR16 N18 G26 N60 N : [120, 120, 120] Y : [232, 192, 0] DR : [136, 0, 0] G : [0, 104, 24]
	Fuller (8) K2 W4 K72 B80 W4 LR4 Y4 LR4 W4 B80 K72 W4 K2 LR : [200, 0, 80] Y : [236, 128, 72] B : [44, 44, 128] W : [248, 248, 248] K : [16, 16, 16]
	Crookdake-Cheng (9) DR2 RB48 LN12 K12 G12 YY8 G4 YY4 G4 YY2 G4 YY4 G4 YY8 G12 K12 LN12 RB48 DR2 RB : [0, 0, 140] G : [0, 120, 0] DR : [140, 0, 0] K : [0, 0, 0] LN : [200, 200, 200] YY : [252, 204, 0]
	Accenture (10) W3 B50 P42 N6 G42 R4 G4 B8 N2 P6 N2 B8 G4 R4 G42 N6 P42 B50 W3 B : [44, 44, 128] P : [120, 0, 120] G : [0, 104, 24] R : [200, 0, 0] W : [224, 224, 224] N : [136, 136, 136]
	Scottish American Athletic Assioc.(11) Y32 K42 RR32 DW12 BN8 DW12 RR32 K42 Y32 Y : [232, 192, 0] K : [16, 16, 16] DW : [184, 184, 184] BN : [52, 64, 84] RR : [144, 28, 28]
	Avalon (12) R5 G6 Y12 WW6 Y10 K110 WW10 K110 Y10 WW6 Y12 G6 R5 K : [16, 16, 16] WW : [248, 248, 248] Y : [232, 192, 0] G : [0, 104, 24] R : [200, 0, 0]
	King (13) G1 R70 G4 K4 Y4 G32 B28 R4 W4 R4 B28 G32 Y4 K4 G4 R70 G : [0, 104, 24] R : [200, 0, 0] K : [16, 16, 16] Y : [232, 192, 0] B : [44, 44, 128] W : [224, 224, 224]
	Lang (14) P2 G18 P4 G20 P60 A20 P4 A12 P4 A8 P4 A12 P4 A20 P60 G20 P4 G18 P2 A : [92, 140, 168] P : [120, 0, 120] G : [0, 104, 24]
	Lee (15) G4 K4 G48 DR16 G12 RB36 LN8 RB36 G12 DR16 G48 K4 G4 G : [0, 76, 0] K : [0, 0, 0] DR : [140, 0, 0] LN : [200, 200, 200] RB : [0, 0, 140]
	Queen of Scots (16) R34 B8 R2 B8 G4 K6 G2 K6 G44 K6 G2 K6 G4 B8 R2 B8 R34 K : [16, 16, 16] G : [0, 104, 24] R : [144, 28, 56] B : [120, 0, 120]
	Princess Diana (17) K14 R4 K4 R4 K4 G36 R4 G36 W2 B24 A2 R16 A2 B24 W2 G36 R4 G36 K4 R4 K4 R4 K14 B : [0, 0, 140] G : [0, 120, 0] R : [140, 0, 0] K : [0, 0, 0] W : [200, 200, 200] A : [120, 140, 180]
	Rainbow (18) RB6 HS4 G8 RB24 ZR6 DW4 ZR16 DW6 G12 DW6 G12 DW6 G12 DW6 G12 DW6 ZR16 DW4 ZR6 RB24 G8 HS4 RB6 G : [0, 104, 24] HS : [4, 136, 136] DW : [184, 184, 184] RB : [28, 0, 112] ZR : [160, 0, 0]
	Queensland (19) R5 G12 P10 G20 Y12 B30 A44 W36 A44 B30 Y12 G20 P10 G12 R5 A : [92, 140, 168] B : [44, 44, 128] P : [196, 156, 216] R : [200, 0, 0] W : [224, 224, 224] Y : [232, 192, 0] G : [0, 156, 36]
	Beatty (20) K6 FSB6 RB56 MY16 K20 MY4 K4 LN4 K8 G32 DR24 K4 DR12 LN4 DR12 K4 DR24 G32 K8 LN4 K4 MY4 K20 MY16 RB56 FSB6 K6 RB : [0, 0, 140] G : [0, 120, 0] DR : [140, 0, 0] MY : [200, 140, 0] K : [0, 0, 0] LN : [200, 200, 200] FSB : [52, 116, 252]
	Prince Edward Island (21) G20 T4 G8 T4 G8 T36 ZR36 T2 Y8 T2 ZR36 T36 G36 T2 WW8 T2 G36 T36 ZR36 T2 Y8 T2 ZR36 T36 G8 T4 G8 T4 G20 G : [0, 104, 24] T : [96, 64, 0] Y : [232, 192, 0] WW : [252, 252, 252] ZR : [160, 0, 0]
	Blair Dress (22) DB2 DR4 DB24 KK10 DG24 DR4 DG4 DR4 DG24 KK10 W28 DR4 W4 DR4 W28 KK10 DG24 DR4 DG4 DR4 DG24 KK10 DB24 DR4 DB2 DB : [0, 0, 96] DR : [136, 0, 0] KK : [0, 0, 0] DG : [0, 72, 0] W : [224, 224, 224]
	Plowman (23) W1 HG6 R48 HG4 R4 DP36 R4 HG4 R2 YT2 HG2 R40 DP4 R4 HG6 R4 DP34 R4 DP34 R4 HG6 R4 DP4 R40 HG2 YT2 R2 HG4 R4 DP36 R4 HG4 R48 HG6 W1 DP : [40, 0, 60] YT : [220, 188, 0] HG : [40, 88, 0] W : [224, 224, 224] R : [200, 0, 0]
	Templar Grand Priory (24) W2 R54 K64 B6 K64 R54 W2 B : [44, 44, 128] K : [16, 16, 16] R : [200, 0, 0] W : [224, 224, 224]
	Cairn (25) N6 W80 DR4 DB4 DR4 DB12 DR16 DB8 DR16 DB8 DR16 DB4 OG32 DY4 OG32 DB4 DR16 DB8 DR16 DB8 DR16 DB12 DR4 DB4 DR4 W80 N6 W : [224, 224, 224] DR : [136, 0, 0] DB : [32, 32, 96] OG : [92, 100, 40] DY : [232, 192, 0] N : [136, 136, 136]
	Arizona (26) LT6 G8 WW8 R8 LT48 K8 G48 R8 G8 A8 G8 Y8 G8 A8 G8 R8 G48 K8 LT48 R8 WW8 G8 LT6 A : [92, 140, 168] Y : [232, 192, 0] K : [16, 16, 16] WW : [252, 252, 252] R : [200, 0, 0] G : [0, 104, 24] LT : [160, 136, 88]
	Ailsa Navy (27) RB8 W6 RB56 W64 K6 W8 K6 W64 RB56 W6 RB8 W : [240, 224, 200] RB : [28, 0, 112] K : [16, 16, 16]
	MacLeod of Lewis (28) K16 Y4 K32 Y48 R4 Y48 K32 Y4 K16 K : [16, 16, 16] R : [200, 0, 0] Y : [216, 176, 0]
	Quebec (29) LT6 G8 WW8 R8 LT48 K8 G48 R8 G8 A8 G8 Y8 G8 A8 G8 R8 G48 K8 LT48 R8 WW8 G8 LT6 K : [16, 16, 16] G : [0, 104, 24] R : [180, 0, 0] WW : [224, 224, 224] Y : [196, 160, 0]
	Saltcoats (30) P5 W2 K2 BL28 K2 R24 K2 BL28 K2 R10 K2 Y6 K2 R10 K2 BL28 K2 R24 K2 BL28 K2 W2 P5 K : [16, 16, 16] R : [200, 0, 0] W : [224, 224, 224] Y : [232, 192, 0] BL : [20, 116, 180]