Tiling an L Shape with a Tetromino and a Hexomino

Introduction

Here I show the smallest known L shapes, measured by area, that can be tiled with copies of a given tetromino and a given hexomino, using at least one copy of each. If you find a smaller solution or solve an unsolved case, please write.

Tetromino Names

Hexomino Numbers

Table of Results

	I	L	N	Q	T
1	10	10	48	10	22
2	10	10	14	10	14
3	48	16	44	64	18
4	22	14	?	?	22
5	10	10	30	10	14
6	68	10	58	24	14
7	10	10	22	10	14
8	68	10	?	?	186
9	52	14	?	?	14
10	24	10	38	10	14
11	56	28	?	160	18
12	32	14	?	10	146
13	16	16	28	16	10
14	28	10	22	28	22
15	64	24	?	?	18
16	16	16	20	16	10
17	108	14	66	?	22
18	44	10	?	?	14
19	52	28	?	?	18
20	76	30	?	?	30
21	16	10	22	44	14
22	68	20	44	?	10
23	52	14	?	?	104
24	24	10	?	?	22
25	16	36	116	100	44
26	52	14	?	?	72
27	36	28	?	?	26
28	64	22	?	?	124
29	16	10	10	16	22
30	46	14	10	20	36
31	10	10	48	10	22
32	68	20	?	?	18
33	60	18	?	?	22
34	288	22	?	?	204
35	288	36	?	?	?
	I	L	N	Q	T

10 Cells

14 Cells

16 Cells

18 Cells

20 Cells

22 Cells

24 Cells

26 Cells

28 Cells

30 Cells

32 Cells

36 Cells

38 Cells

44 Cells

46 Cells

48 Cells

52 Cells

56 Cells

58 Cells

60 Cells

64 Cells

66 Cells

68 Cells

72 Cells

76 Cells

100 Cells

104 Cells

108 Cells

116 Cells

124 Cells

146 Cells

160 Cells

186 Cells

204 Cells

288 Cells

Last revised 2026-02-28.