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One hundred one words carry H second and I third, and almost every one of them opens with a two letter digraph.
C opens thirty five of the one hundred one, W opens twenty four, S opens twenty three and T opens twelve. That is ninety four out of one hundred one, which leaves almost nothing else.
WHICH, WHILE, THINK, WHITE and CHILD are the most common. CHINA, THING, THIRD, CHIEF and SHIRT all come up regularly too.
N takes it in twenty of the one hundred one and R in seventeen, with L on ten. CHINA, THIRD and CHILD show the three shapes.
Those three cover a lot but not everything. Sixteen letters appear in that box overall, so it narrows the field without closing it.
S closes twenty one of the one hundred one, E closes thirteen and L closes ten. K is unusually high on nine, coming from CHICK, CHINK and THINK.
THINK uses a different letter in every box, while WHICH repeats the H. THINK is the stronger probe on almost any puzzle.
Thirty five of the one hundred one do. CH is one of the most productive openings in English, and putting H second forces it.
A Tibetan antelope, also called the Tibetan gazelle. It is one of the entries that swells this count without ever being guessable.
A chine is a backbone or a narrow ravine. Swap the final E for an A and you have the crockery instead.