Is 94,271,013 the sum of 12 consecutive integers?

# Puzzles

# Black and White

By G.E. Rottigni. White to mate in two moves.

# Podcast Episode 266: Lateral Thinking Puzzles

Here are seven new lateral thinking puzzles — play along with us as we try to untangle some perplexing situations using yes-or-no questions.

# The Two Squares Puzzle

Lee Sallows just sent me this — the puzzle is difficult, but the solution is stunning:

# Query

What’s remarkable about this set of words?

BIOLOGY DEATHLY SLOSHED BASTARD SELVAGE FISSILE DALLIES FLAVORS

# Keeping Distance

For which values of *n* can *n* points be placed on a sphere so that all of them are equidistant from each other?

# Some Two

Given 52 integers, prove that it’s always possible to find some two of them whose sum or difference is evenly divisible by 100.

# Black and White

From Louis Friedländer’s 1919 collection *Chess Poetry*. White to mate in two moves.

# Black and White

A remarkable thematic chess puzzle by Bodo Van Dehn, 1951. White to move and win.

The solution is 10 moves long, but all Black’s moves are forced. (That’s a very valuable hint.)

# A Flea’s Journey

A flea sits on one vertex of a regular tetrahedron. He hops continually from one vertex to another, resting for a minute between hops and choosing vertices without bias. Prove that, counting the first hop, we’d expect him to return to his starting point after four hops.