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Dicey Multiplication*

Puzzles

by Werner Miller

Sometimes arithmetical equations can create really astonishing compositions. Arrangements like the following examples are widely known.
 
Some examples of Pyramidal Multiplication; they show wonderful arrangements.
 
Here is a novel version of this traditional play with numbers. The challenge is to arrange "standard" dice in a similar manner into a pyramidal multiplication so that their top faces read out the factors of the multiplication (multiplicand * multiplier) and the front faces read out the correct product. One example of a Dicey Multiplication is shown just below.
 

 
A set of dice making a Dicey Multiplication.
 
Are there other arrangements meeting these conditions? 

***
Also, you can try another puzzle by Werner Miller, A Holey Number3.
 
*) Puzzle concept: Copyright Werner Miller. All Rights Reserved.
**) Studying the above example of Werner Miller's Dicey Multiplication, I discovered that the total numbers of visible pips in each equation also make a regular composition; it is shown just below:
16
26
36
46
56
66
. . .
Is the same true for other possible arrangements of Dicey Multiplication?
 
Last Updated: February 17, 2011
Posted: February 17, 2011
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