The quip you are challenged to hide in two separate Quipto® diagrams is the answer to yesterday’s puzzle, “Quip-Bild: JFK, RIP,” parts (1) & (2). (* Spoiler Alert*: If you haven’t yet solved yesterday’s Quip-Find

Here is the * key to difficulty levels* for Quipto® puzzles (levels for Quip-Find

★ = Easy; almost trivial difficulty; ★★ = Fairly Easy; ★★★ = Average; ★★★★ = Fairly difficult; challenging but not * really* difficult to solve; ★★★★★ = Difficult; can be solved only with considerable effort!.

The difficulty levels for today’s Quip-BildTM puzzles are: (1) ★★★; (2) ★★★★★. For a short course on how to solve Quip-BildTM puzzles, see below.

]]>Kennedy in Dallas, November 22, 1963 (Image: Dallas Morning News)

Today, as a tribute to President John F. Kennedy, assassinated 54 years ago on this date, we offer a two-rack Quip-Find puzzle; the hidden quotation is something Kennedy said in his address before the United Nations on September 25, 1961.

(The second diagram below involves two “wraparounds” or “hidden adjacencies”. Specifically, **B** is adjacent to **U**, **T** is adjacent to **S**, and **I** is adjacent to **K;** in each case, the letters touch on the hidden back side of the rack. For more information on wraparounds, go to “How to Solve Quip-Find Puzzles,” above, pages 130-131.)

**(1)**

Copyright © 2017 James E. Rader

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When you think that you have solved a Quip-Bild puzzle, the moment of truth – the real test of your proposed solution – is seeing whether it will actually fit onto the **Quipto® diagram**. It is easy to draw a diagram by first drawing a hexagon (a rough approximation will do) and then adding three intersecting pairs of chevron shapes inside the hexagon, like this:

This diagram represents a **half-rack**; think of it as a flat map of three faces of the cube, analogous to a flat map of one hemisphere of our globe. The solution to * most* Quip-Bild puzzles can be fitted within the three faces of a half-rack. Each position where a letter may be placed is called a

It is possible to solve a Quip-Bild puzzle by trial and error – writing letters into half-rack diagrams until you come up with an arrangement of letters that works to spell out the given quip as a continuous path on the diagram. However, there is a more systematic approach to solving, developed by the author/inventor over many years of experience with these puzzles. That approach is what we will briefly describe in what follows.

In our description of the solving process, we will be using the concepts of “links”, “chains”, and “poles”. A **link** is the connection between two letters that are adjacent anywhere in the quip; and a **chain** is a series of linked letters that connect two **poles**, letters in the quip that have been chosen because they have a number of connecting chains. These concepts will become clearer as we proceed.

As our example quip in these instructions, we have chosen the well-known proverb, *“An apple a day keeps the doctor away.”*

The first step is to make a **link diagram**: a spelling-out of the quip with dashes between the adjacent letters, where * each letter is written only once*. Here is a link diagram for “An apple a day keeps the doctor away”:

As you can see, to create a link diagram, you begin writing the letters of the quip in a circle (or, if you prefer, a more squarish arrangement), looping back whenever a letter recurs. Proceed carefully and try not to write any letter twice.

Having completed the link diagram (and perhaps double-checked it – it is frustrating to “solve” a Quip-Bild puzzle only to discover that, for example, your link diagram includes a repeated letter), the next step is to create a **list of links** – a listing of the letters that have three or more other letters adjacent to them in the quip, along with those adjacent letters. (We suggest circling the letters as you add them to the list.) Here is the link list for our quip, “An apple a day …”:

Next we look for potential “poles” – pairs of letters (usually letters that are among those with the greatest number of adjacents) that have, ideally, two or more “mutually-adjacent” letters (letters that are adjacent to both members of the pair). For example, in “An apple a day …,” the rather obvious choice of poles is the pair** A** and **E**; the two letters are adjacent to one another, they are the two letters with the greatest number of adjacents, and they have two mutual-adjacents, **D** and** P**.

Now we create a **list of chains** – all the chains linking the two selected poles, listed in order of length, shortest to longest:

(You may have noticed an apparent omission here: the chain AROCTHE. This is not an oversight; we recommend adding a chain * only* if it includes at least one link not involved in a previous chain listed, and all of the links in AROCTHE have already been accounted for in AROTHE and ADOCTHE.)

Finally, we try to fit the letters onto the rack. Here we take advantage of the fact that any two adjacent faces of the Quipto rack, if “flattened,” can be represented by a 3 x 5 grid, and letters that spell out the desired quip on a 3 x 5 grid can be placed on two faces the rack in the same arrangement.

So, starting with the shortest of the chains we have identified, we begin trying to place the chains of letters into a 3 x 5 grid pattern. The shorter chains tend to form a cluster around which the solver is challenged to add the longer chains.

We also take advantage of a crucial fact: the fact that the third face of the half-rack includes one position (the center cubicle, or “face cubicle”) that is adjacent to **all** of the cubicles along the edge of the 3 x 5 grid pattern of the other two faces. This fact is the key to many Quip-Bild solutions since that cubicle provides a “shortcut” across the third face.

After some trial and error, we come up with an arrangement that seems to work. Here is our solution, before we try to place it onto the rack diagram; note that in this solution, the letter **O** occupies that crucial “shortcut” position on the third face.

(One of the most critical factors in solving “An apple a day …” is the fact that 7 different letters must be adjacent to **A**. Since no more than 8 letters can be adjacent to any letter on the diagram, there is only one cubicle (letter position) adjacent to **A** that we can “waste”; in our solution, that position is occupied by **K**.)

Here is our solution placed on the half-rack diagram:

Finally, we must mention two related features of the Quipto rack that were * not* involved in our solving of “An apple a day …” but may be important in the solving of other Quip-Bild puzzles involving other quips. The first is the fact that along the edges of the 3 x 5 grid we have used in solving, every second cubicle will become a corner cubicle, and the cubicles on each side of a corner cubicle (edge cubicles) are adjacent to one another across the corner. Thus, for example, in the solution above,

The second is the phenomenon of wraparounds, or hidden adjacencies; these involve edge cubicles around the periphery of a half-rack that do not **appear** to be adjacent in the diagram, but actually are – on the hidden back side of the rack. Thus, for example, in the solution above, **K** and **L** are adjacent.

We will treat these important topics at greater length in the full “How to Solve Quip-Bild Puzzles” instructions to come.

We hope that you enjoy solving Quip-Bild puzzles. We suggest starting with yesterday’s Quip-Bild puzzle: “Four score and seven years ago …”; see if * you* can hide this phrase on the Quipto rack!

And check our archives: The answer to * any* Quip-Find puzzle in this blog can serve as the given quip for a Quip-Bild puzzle.

— Jim Rader, inventor & puzzlemaster

Copyright © 2017 James E. Rader

]]>However, with Quip-Bild™ puzzles, **you, as the solver, become the puzzle maker** – you are challenged to place letters on the rack so as to spell out the given quip. These puzzles are perhaps more challenging than Quip-Find^{TM} puzzles, but we believe that many word puzzle fans will find them even more interesting.

To find today’s Quip-Bild^{TM} puzzle, click on the heading “Puzzle Answers,” above, and go to the answer to yesterday’s Quip-Find^{TM} puzzle. **But wait, before you do: We strongly recommend that you solve yesterday’s puzzle first**, before accessing that answer and today’s puzzle – because once you see the answer, you will have effectively spoiled your opportunity to solve yesterday’s Quip-Find^{TM} puzzle.

Tomorrow we will be posting some suggestions about how to solve Quip-Bild^{TM} puzzles. In the meantime, again, we suggest that you check out – and solve – yesterday’s Quip-Find^{TM} puzzle below, since the challenge of today’s Quip-Bild™ puzzle is for **you** to **create** yesterday’s puzzle – for you to figure out how to place that quip on the Quipto® rack.

More tomorrow.

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Copyright © 2017 James E. Rader

]]>During the three years in which the blog was active, the puzzles have all been Quip-Find^{TM} puzzles: puzzles where you are given a filled-in Quip-Find^{TM} diagram and challenged to find the hidden quip (quotation or one-liner). (See, for example, the puzzle below, headed “Persistence,” where the hidden quote is from Abraham Lincoln.)

Quip-Bild^{TM} puzzles, which we will be introducing to the public for the first time tomorrow, on this blog, are even more challenging — and thus, to many puzzle-solvers, more fun. In the meantime, though, we pick up where we left off in early 2015 — with another Quip-Find^{TM} puzzle featuring something said on today’s date many years ago.

We plan to post at least one new puzzle here each week. We invite you to follow the blog and to enjoy the new, rejuvenated Quipto® blog and the new puzzles we will be offering here!

— Jim Rader, inventor of the game Quipto® and your puzzlemaster

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**Abraham Lincoln** (1809-1865)

Today is Lincoln’s birthday, once celebrated as a national holiday (until it and Washington’s birthday were subsumed into “Presidents’ Day”). Our two-diagram puzzle below features one of the better-known Lincoln quotes (possibly a slogan during his 1864 campaign for reelection as President?).

**Diagram 1:**

**Diagram 2:**

Image: Anne Gelbard – AFP/Getty Images

Today’s two-diagram Quip-Find(TM) puzzle commemorates an event — but not one in the distant past. In a real sense, the puzzle answers in the two diagrams — (1) in Diagram A, and (2), (3) and (4) in Diagram B — are identical. They spell out, in each case, where the event occurred and what many people proclaimed afterward.

*( Note that Diagram B involves one “wraparound” or “hidden adjacency”; even though they do not appear to be adjacent, O and D actually do touch — on the hidden backside of the Quipto(R) rack.*

*( Note also that within each numbered answer to a Quip-Find puzzle, the entire quip is spelled out as one continuous path; however, in any diagram containing more than one numbered answer, the last letter of one answer is not necessarily adjacent to the first letter of the next one. Thus, in Diagram B, the last letter of answer (2) is not adjacent to the first letter of answer (3), and the last letter of answer (3) is not adjacent to the first letter of answer (4).)*

**Diagram A:**

**Diagram B: **

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Photo: www.biography.com

**Arthur Robert Ashe, Jr.** (1943-1993)

Arthur Ashe was an American professional tennis player who won three Grand Slam titles and was ranked No. 1 in the world. This two-diagram puzzle is the final puzzle in our NEW YEAR’S EXTRAVAGANZA; the three-sentence answer, a quote by Ashe, is good advice for this new year — or for any year!

**Diagram A:**

**Diagram B:**

**Helen Rowland** (1875-1950)

Helen Rowland was an American journalist and humorist who wrote a column called “Reflections of a Bachelor Girl” for the *New York Post*. A bit of her advice is featured in today’s puzzle, below.