Convex Shapes from Three Hexiamonds

Introduction

A hexiamond is a polyform made by joining six equal equilateral triangles edge to edge. There are 12 hexiamonds:

Here I show the smallest known convex shapes that can be formed with each set of three hexiamonds, using at least one of each.

A E F	6	A E H	17	A E I	?	A E L	4	A E O	7	A E P	10	A E S	16	A E U	5	A E V	8	A E X	?
A F H	8	A F I	4	A F L	4	A F O	5	A F P	4	A F S	11	A F U	5	A F V	4	A F X	12	A H I	9
A H L	7	A H O	11	A H P	6	A H S	30	A H U	7	A H V	8	A H X	30	A I L	5	A I O	8	A I P	5
A I S	9	A I U	7	A I V	5	A I X	?	A L O	7	A L P	6	A L S	7	A L U	4	A L V	7	A L X	7
A O P	5	A O S	41	A O U	17	A O V	8	A O X	12	A P S	5	A P U	5	A P V	4	A P X	7	A S U	9
A S V	12	A S X	36	A U V	8	A U X	12	A V X	8	E F H	6	E F I	5	E F L	5	E F O	5	E F P	6
E F S	11	E F U	5	E F V	6	E F X	7	E H I	12	E H L	7	E H O	11	E H P	10	E H S	32	E H U	5
E H V	8	E H X	?	E I L	5	E I O	5	E I P	8	E I S	11	E I U	5	E I V	8	E I X	?	E L O	4
E L P	6	E L S	7	E L U	4	E L V	7	E L X	12	E O P	8	E O S	×	E O U	7	E O V	8	E O X	8
E P S	6	E P U	5	E P V	8	E P X	15	E S U	7	E S V	9	E S X	?	E U V	7	E U X	4	E V X	16
F H I	5	F H L	4	F H O	5	F H P	5	F H S	12	F H U	5	F H V	8	F H X	12	F I L	5	F I O	8
F I P	4	F I S	6	F I U	4	F I V	5	F I X	6	F L O	5	F L P	6	F L S	7	F L U	5	F L V	6
F L X	6	F O P	5	F O S	12	F O U	5	F O V	8	F O X	12	F P S	5	F P U	4	F P V	4	F P X	7
F S U	5	F S V	10	F S X	13	F U V	6	F U X	8	F V X	8	H I L	7	H I O	8	H I P	5	H I S	8
H I U	5	H I V	7	H I X	15	H L O	5	H L P	4	H L S	7	H L U	4	H L V	7	H L X	11	H O P	5
H O S	7	H O U	3	H O V	4	H O X	12	H P S	5	H P U	4	H P V	4	H P X	8	H S U	5	H S V	4
H S X	?	H U V	7	H U X	8	H V X	12	I L O	7	I L P	4	I L S	8	I L U	3	I L V	5	I L X	7
I O P	4	I O S	8	I O U	13	I O V	7	I O X	5	I P S	4	I P U	4	I P V	4	I P X	5	I S U	5
I S V	5	I S X	8	I U V	7	I U X	7	I V X	7	L O P	6	L O S	32	L O U	16	L O V	7	L O X	8
L P S	6	L P U	6	L P V	4	L P X	6	L S U	5	L S V	7	L S X	12	L U V	7	L U X	8	L V X	7
O P S	4	O P U	4	O P V	5	O P X	8	O S U	13	O S V	7	O S X	25	O U V	5	O U X	11	O V X	7
P S U	4	P S V	5	P S X	9	P U V	5	P U X	5	P V X	5	S U V	7	S U X	7	S V X	8	U V X	8

3 Tiles
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25 Tiles
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32 Tiles
36 Tiles
41 Tiles

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15 Tiles

16 Tiles

17 Tiles

25 Tiles

30 Tiles

32 Tiles

36 Tiles

41 Tiles

Last revised 2024-08-04.

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Col. George Sicherman [ HOME | MAIL ]