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
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