
Hoverdia Super15, which is represented by a standard
board game
of 9x9
boxes, is not just the
placement of numbers but
also involves additions and subtractions
for
brain
training at
any
age and
without any
language
barrier.
It
is
actually
an
Addictive
Brain
Game
that
involves
both
logical
thinking
and
arithmetic
solving. It
is
best
suitable
for exercising
not
only
the
left
brain,
but
the
right
brain
as
well.
This is a
nonviolence
puzzle
game
which
is appropriate
for
educational
purposes
as
well
as
for
family
game.
It is not a rigid or difficult
puzzle game. It is
quite
easy
and fun
as there
are
many
alternatives
in
decoding
the
entire
puzzle. "There's always an opportunity, if there is an alternative" quoted by the Hovedia Puzzle editor.
The main
puzzle is best
represented by 9 long horizontal blocks and 9
long
vertical blocks.
Each block
consists of 9
small
boxes, which
give a
total
of 81
boxes. This puzzle is usually presented with some preset numbers and leaving some empty boxes. The aim is to fill up each empty box with a number ranging from 1 to 9 inclusively for all the remaining empty boxes in the entire puzzle basing on the HOVERDIA SUPER15's guidelines.
There are two major steps in decoding this Hoverdia Super15 puzzle:
STEP 1: Identify the PRESET or FILLEDUP NUMBERS; and determine a list of the remaining missing numbers by applying RULE ONE on the long block (9 boxes); and
STEP 2: Fill up the empty boxes with the MISSING NUMBERS from the list of the remaining missing numbers by applying RULE TWO on the short block (3 boxes) within each region. It is very enjoyable with full of alternatives in decoding this puzzle. There are two rules: RULE
ONE and
RULE
TWO in decoding
the
puzzle
and
it
may
be
applied
interchangeably. Always start with RULE TWO first.
The preset numbers in the Hoverdia Super15
puzzle
are
not
always
in
sequence
either by
ascending
order from 1
to 9
or by
descending
order
from 9
to 1
but
will be usually
jumbled
up
or
in
random
order.
It really doesn't matter how or
which way the player to start with 
the
most
importance
is
when the
player complete
the
entire
puzzle
that
is
in
compliance
with
the
Hoverdia Super15's
Rules.
The aim of this puzzle game is that each
long block must contain all
the numbers from 1 to 9 inclusively; and
the main puzzle is
also represented by 9 Regions of 3x3 short
blocks whereby
each
short block
with 3
boxes,
when filledup
with
numbers, must be added
up
to a total exact sum of
15
horizontally
and
vertically.
The
characteristic
of
all
the 9 long
horizontal
blocks
and 9
vertical
blocks
together
with the 9 regions,
where
each region
consists of 3
short
horizontal
blocks
and 3
short
vertical
blocks,
in
which
some
numbers
have
been
filled
up
in
advance,
are
the
essential
building
blocks
of
HOVERDIA SUPER15.
All 9
long
horizontal
blocks
and 9
long
vertical
blocks together with 9 regions,
which
have 9
boxes therein,
must
contain
one
of
the
numbers
ranging
from
1
to 9
inclusively
without
repeating
any
number
thereof.
There are 9 horizontal blocks and 9 vertical blocks with 8
boxes in each block which must contain all
from a set of
numbers [
1, 2, 3, 4, 5, 6, 7,
8, 9 ]
inclusively
without
repeating
any
number
thereof. Every long horizontal block, which consists of 9 boxes, can only contains one of the numbers from 1 to 9 inclusively in each box without any such number being appeared more than once in that horizontal block.
Every long vertical block, which consists of 9 boxes, can only contains one of the numbers from 1 to 9 inclusively in each box without any such number being appeared more than once in that vertical block. Every region, which consists of 3x3 boxes, can only contains one of the numbers from 1 to 9 inclusively in each box without any such number being appeared more than once in that region. For
solving this
puzzle at
any
level
of difficulties, it
is advisable
to begin
with
any Region
(3x3)
which
is
deemed
easy
or
solvable by
applying
Rule
Two
before moving
onto another
adjacent region
for
completing
all
the long
horizontal
blocks
and/or
long
vertical
blocks
in
order
to
comply
with
Rule
One
as
well.
A
ll 3
short
horizontal
blocks
and 3
short
vertical
blocks in each of
the 9 regions,
which
have 3
boxes therein,
must
be horizontally and
vertically
added
up
to a total
sum
of
15
. The main
puzzle with 81 boxes is
also
alternatively
represented by 9 Subpuzzles which are called Regions and
each Region is made up of 3 short horizontal blocks and 3 short vertical blocks.
All
the
blocks in each Region,
which
consist of 3
boxes,
must
be
added
up
to a total
sum
of
15
horizontally and
vertically.
RULE TWO is
proven to be
the
Best Initial
Approach
in
solving
the
entire
puzzle in order to compliance with the rules
by
starting from any
of
the 9 Regions
.
The aim of this puzzle game is that each long block must contain all the numbers from 1 to 9 inclusively; and the main puzzle is also represented by 9 regions of 3x3 short blocks whereby each short block with 3 boxes, when filledup with numbers, must be addedup to an exact total of 15 not only horizontally but vertically as well. This is very straight forward and always start with RULE TWO. Deducting the sum of two known numbers (6 + 8) from 15, you should get 1 for that empty box eventhough a lot of numbers for that horizontal block have yet to be ascertained. That two empty boxes should give a subtotal of 7 (15  8). From the list of 1 to 9, the pairs of numbers that give the subtotal of 7 are [3 & 4] and [1 & 6]. With 4 on the same horizontal block, [1 & 6] would be choosen. Placement of 1 & 6 should not be on the same vertical blocks as shown. Deducting the sum of two known numbers from 15, you should get: 15  (9 + 1) = 5; 15  (2 + 6) = 7; and 15  (4 + 8) = 3.
It is merely for illustration purposes. The ultimate aim is to
master it and to get all these
into the brain
without having
to
refer to it, in any
form.
IT IS ALL ABOUT MENTAL
CALCULATION. ALWAYS START WITH RULE TWO.
Happy puzzle decoding. 
