# Bogglers Solutions

By Scott Kim|Sunday, June 01, 2003

Elementary Equations

1. iron (26) = 4! + √4

2. zirconium (40) = √9!! /(9+9)

3. scandium (21) = (√8 + 8)! - √8 + (8/8)

4. germanium (32) = (9 - 9/9) x (√9 + 9/9)

5. arsenic (33) = 7 x 7 - 7 - 7 - ((7 + 7) / 7)

6. astatine (85) = (8 + 8/8) x (8 + 8/8) + √8 + 8

There may be better solutions using fewer numbers.

Favorite Subjects

1. Brian's favorite topic is ZOOLOGY
The unscrambled words are:
COUGAR
COYOTE
PARROT
ZEBRA
GORILLA

2. Kelly's favorite topic is VAULT - T + CANE + O = VOLCANO

3. Jacob's favorite topic is SQUARE ROOT.

Astronomical Mix-Up

1. The planets and their suns, from coldest to hottest:
Diana — Neutron (coldest)
Persephone — Salanar
Dionysus— Kazul
Apollo — Betelgeuse
Vulcan— Beta Centauri (hottest)

2. The planets and their suns, in order of discovery:
Argus— Heria (first)
Sphinx — Hibrid
Medusa — Gorgone
Hydra— Lernea (last)

Super Series

The missing numbers are shown in red:

You can compute the missing numbers as:

However, there is a more elegant interpretation. Each row describes a regular polygon and its angles. For instance, 6 stands for a hexagon, whose angles add up to 720°. Each corner of a regular hexagon forms a 120° angle, and the exterior angles are 60°, as shown at right.

Want to go back to the puzzle?

Got new solutions for the puzzle? Want to see other people's solutions? Talk to the puzzle master in his discussion forum at www.scottkim.com.