Tables of Divisible Tilings

Entire Picture Table of all divisible tilings  table_tt.pdf

Divisible tilings of triangles by triangles

Entire Picture Table  table_tt.pdf
Case Fine 
polygon
Coarse 
polygon
# of 
fine 
tiles
Post Script File PDF File
TF1 (2,d,2e) (d,d,e) 2 TTF02_2d2e_dde.eps TTF02_2d2e_dde.pdf
TF2 (2,3,2d) (2,d,2d) 3 TTF03_232d_22dd.eps TTF03_232d_22dd.pdf
TF3 (2,3,3d) (3,d,3d) 4 TTF04_233d_3d3d.eps TTF04_233d_3d3d.pdf
TF4 (2,4,2d) (d,2d,2d) 4 TTF04_242d_d2d2d.eps TTF04_242d_d2d2d.pdf
TF5 (2,3,2d) (d,d,d) 6 TTF06_232d_ddd.eps TTF06_232d_ddd.pdf
TF6 (2,3,4d) (d,4d,4d) 6 TTF06_234d_d4d4d.eps TTF06_234d_d4d4d.pdf
TC1 (2,3,8) (4,8,8) 12 TTC12_238_488.eps TTC12_238_488.pdf
TC2 (2,3,7) (7,7,7) 21 TTC21_237_777.eps TTC21_237_777.pdf

Divisible tilings of quadrilaterals by triangles with free vertices

Entire Picture Table   table_tqf.pdf
Case Fine
polygon
Coarse 
polygon
# of 
fine 
tiles
Post Script File PDF File
F1 (d,2e,2f) (d,e,d,f) 2 TQF02_d2e2f_dedf.eps TQF02_d2e2f_dedf.pdf
F2 (2,2d,3e) (2,d,2d,e) 3 TQF03_22d3e_2d2de.eps TQF03_22d3e_2d2de.pdf
F3 (3,2d,2e) (d,e,2d,2e) 3 TQF03_32d2e_de2d2e.eps TQF03_32d2e_de2d2e.pdf
F4 (2,2d,2e) (d,e,d,e) 4 TQF04_22d2e_dede.eps TQF04_22d2e_dede.pdf
F5 (2,2d,4e) (d,2d,e,2d) 4 TQF04_22d4e_d2de2d.eps TQF04_22d4e_d2de2d.pdf
F6 (2,3d,3e) (d,3d,e,3e) 4 TQF04_23d3e_d3de3e.eps TQF04_23d3e_d3de3e.pdf
F7 (2,4,2d) (2,2,d,d) 4 TQF04_242d_22dd.eps TQF04_242d_22dd.pdf
F8 (3,3,2d) (3,d,3,d) 4 TQF04_332d_3d3d.eps TQF04_332d_3d3d.pdf
F9 (3,3,3d) (3,d,3,3d) 4 TQF04_333d_3d33d.eps TQF04_333d_3d33d.pdf
F10 (2,4,6d) (2,4,2d,3d) 5 TQF05_246d_242d3d.eps TQF05_246d_242d3d.pdf
F11 (2,5,2d) (2,d,d,2d) 5 TQF05_252d_2dd2d.eps TQF05_252d_2dd2d.pdf
F12 (2,3,3d) (2,d,2,d) 6 TQF06_233d_2d2d.eps TQF06_233d_2d2d.pdf
F13 (2,3,4d) (2,2d,2,d) 6 TQF06_234d_22d2d.eps TQF06_234d_2d22d.pdf
F14 (2,4,3d) (4,4,d,d) 6 TQF06_243d_44dd.eps TQF06_243d_44dd.pdf
F15 (2,4,6d) (2,3d,6d,2d) 6 TQF06_246d_23d6d2d.eps TQF06_246d_23d6d2d.pdf
F16 (2,5,6d) (5,2d,3d,6d) 6 TQF06_256d_52d3d6d.eps TQF06_256d_52d3d6d.pdf
F17 (2,6,2d) (d,d,2d,2d) 6 TQF06_262d_dd2d2d.eps TQF06_262d_dd2d2d.pdf
F18 (2,3,10d) (2,5d,3,2d) 7 TQF07_2310d_25d32d.eps TQF07_2310d_25d32d.pdf
F19 (2,3,12d) (2,3d,3,4d) 7 TQF07_2312d_23d34d.eps TQF07_2312d_23d34d.pdf
F20 (2,3,4d) (3,d,3,d) 8 TQF08_234d_3d3d.eps TQF08_234d_3d3d.pdf
F21 (2,3,6d) (3,d,3,3d) 8 TQF08_236d_3d33d.eps TQF08_236d_3d33d.pdf
F22 (2,4,2d) (d,d,d,d) 8 TQF08_242d_dddd.eps TQF08_242d_dddd.pdf
F23 (2,4,3d) (d,3d,d,3d) 8 TQF08_243d_d3dd3d.eps TQF08_243d_d3dd3d.pdf
F24 (2,4,4d) (d,4d,2d,4d) 8 TQF08_244d_d4d2d4d.eps TQF08_244d_d4d2d4d.pdf
F25 (2,3,12d) (2,4d,6d,3d) 9 TQF09_2312d_24d6d3d.eps TQF09_2312d_24d6d3d.pd
F26 (2,3,15d) (2,3d,15d,5d) 9 TQF09_2315d_23d15d5d.eps TQF09_2315d_23d15d5d.pdf
F27 (2,3,6d) (2,d,6d,3d) 9 TQF09_236d_2d6d3d.eps TQF09_236d_2d6d3d.pdf
F28 (2,3,14d) (3,2d,14d,7d) 10 TQF10_2314d_32d14d7d.eps TQF10_2314d_32d14d7d.pdf
F29 (2,3,20d) (3,4d,20d,5d) 10 TQF10_2320d_34d20d5d.eps TQF10_2320d_34d20d5d.pdf
F30 (2,3,30d) (3,10d,15d,6d) 10 TQF10_2330d_310d15d6d.eps TQF10_2330d_310d15d6.pdf
F31 (2,3,4d) (d,2d,d,2d) 12 TQF12_234d_d2dd2d.eps TQF12_234d_d2dd2d.pdf
F32 (2,3,5d) (d,5d,d,5d) 12 TQF12_235d_d5dd5d.eps TQF12_235d_d5dd5d.pdf
F33 (2,3,6d) (d,6d,2d,3d) 12 TQF12_236d_d6d2d3d.eps TQF12_236d_d6d2d3d.pdf
F34 (2,3,8d) (d,8d,4d,8d) 12 TQF12_238d_d8d4d8d.eps TQF12_238d_d8d4d8d.pdf

Divisible tilings of quadrilaterals by triangles with no free vertices

Entire Picture Table  table_tqc.pdf
Case Fine 
polygon
Coarse 
polygon
# of 
fine 
tiles
Post Script File PDF File
C1 (3,4,4) (4,4,4,4)  6 TQC06_344_4444.eps TQC06_344_4444.pdf
C2 (3,3,4) (2,3,3,4) 7 TQC07_334_2334.eps TQC07_334_2334.pdf
C3 (3,3,5) (3,3,5,5) 7 TQC07_335_3355.eps TQC07_335_3355.pdf
C4 (2,4,5) (2,2,4,4) 10 TQC10_245_2244a.eps TQC10_245_2244a.pdf
C5 (2,4,5) (2,2,4,4) 10 TQC10_245_2244b.eps TQC10_245_2244b.pdf
C6 (2,4,5) (2,4,2,4) 10 TQC10_245_2424.eps TQC10_245_2424.pdf
C7 (3,3,4) (3,4,3,4) 10 TQC10_334_3434.eps TQC10_334_3434.pdf
C8 (2,4,5) (2,2,4,5) 11 TQC11_245_2245.eps TQC11_245_2245.pdf
C9 (2,3,8) (2,2,4,4) 12 TQC12_238_2244.eps TQC12_238_2244.pdf
C10 (2,4,6) (3,3,6,6) 12 TQC12_246_3366.eps TQC12_246_3366.pdf
C11 (2,4,6) (4,4,4,4) 12 TQC12_246_4444.eps TQC12_246_4444.pdf
C12 (2,5,5) (5,5,5,5) 12 TQC12_255_5555.eps TQC12_255_5555.pdf
C13 (3,3,4) (4,4,4,4) 12 TQC12_334_4444.eps TQC12_334_4444.pdf
C14 (2,3,8) (2,3,3,4) 14 TQC14_238_2334.eps TQC14_238_2334.pdf
C15 (2,3,10) (3,3,5,5) 14 TQC14_2310_3355.eps TQC14_2310_3355.pdf
C16 (2,3,10) (2,5,5,10) 15 TQC15_2310_25510.eps TQC15_2310_25510.pdf
C17 (2,3,9) (3,3,3,9) 16 TQC16_239_3339.eps TQC16_239_3339.pdf
C18 (2,4,5) (2,4,5,4) 16 TQC16_245_2454.eps TQC16_245_2454.pdf
C19 (2,3,12) (6,6,12,12) 18 TQC18_2312_661212.eps TQC18_2312_661212.pdf
C20 (2,3,8) (3,4,3,4) 20 TQC20_238_3434.eps TQC20_238_3434.pdf
C21 (2,4,5) (4,4,4,4) 20 TQC20_245_4444.eps TQC20_245_4444.pdf
C22 (2,4,5) (4,4,5,5) 22 TQC22_245_4455.eps TQC22_245_4455.pdf
C23 (2,3,8) (2,8,4,8) 24 TQC24_238_2848.eps TQC24_238_2848.pdf
C24 (2,3,8) (4,4,4,4) 24 TQC24_238_4444.eps TQC24_238_4444.pdf
C25 (2,4,5) (5,5,5,5) 24 TQC24_245_5555.eps TQC24_245_5555.pdf
C26 (2,3,7) (2,7,2,7) 30 TQC30_237_2727.eps TQC30_237_2727.pdf
F27 (2,3,7) (3,7,3,7) 44 TQC44_237_3737.eps TQC44_237_3737.pdf

Divisible tilings of quadrilaterals by quadrilaterals

Entire Picture Table  table_qq.pdf
Case Fine 
polygon
Coarse 
polygon
# of 
fine 
tiles
Post Script File PDF File
QF1 (2,2,d,e) (d,d,e,e) 2 QQF02_22de_deed.eps QQF02_22de_deed.pdf
QF2 (2,2,2,d) (d,d,d,d) 4 QQF04_222d_dddd.eps QQF04_222d_dddd.pdf


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Last modified April 4, 2001