charles w. trigg fonds. acu spc f0157...the faro shuffle 23.9 the 28 possible cubical dice 23.10...

LIBRARIES AND CULTURAL RESOURCES

Archives and Special Collections Suite 520, Taylor Family Digital Library

2500 University Drive NW Calgary, AB, Canada T2N 1N4

www.asc.ucalgary.ca

Charles W. Trigg fonds.

ACU SPC F0157

https://searcharchives.ucalgary.ca/charles-w-trigg-fonds

An additional finding aid in another format may exist for this fonds or collection. Inquire in Archives and Special Collections.

https://searcharchives.ucalgary.ca/charles-w-trigg-fonds

CHARLES W. TRIGG fonds ACCESSION NO.: 4391 (Strens)

The Charles W. Trigg Fonds Accession No. 4391 (Strens)

MATHEMATICAL PROBLEMS ......................................................................................................................... 4

PUBLICATIONS ............................................................................................................................................... 6

MATHEMATICAL PROBLEMS ......................................................................................................................... 7

Magic and Antimagic................................................................................................................................. 7

Miscellaneous ........................................................................................................................................... 8

Magic and Antimagic................................................................................................................................. 9

Miksa, Francis L ....................................................................................................................................... 10

Miscellaneous ......................................................................................................................................... 11

Bracelets.................................................................................................................................................. 13

Miscellaneous ......................................................................................................................................... 14

MATHEMATIC MAGAZINES ......................................................................................................................... 16

MATHEMATICAL PROBLEMS ....................................................................................................................... 16

Miscellaneous ......................................................................................................................................... 16

Scales of Notation ................................................................................................................................... 18

Base 6 ...................................................................................................................................................... 19

Base 7 ...................................................................................................................................................... 19

Base 8 ...................................................................................................................................................... 19

Base 9 ...................................................................................................................................................... 20

Base 10 .................................................................................................................................................... 20

Miscellaneous ......................................................................................................................................... 20

Base 10 .................................................................................................................................................... 24

Miscellaneous ......................................................................................................................................... 24


MANUSCRIPTS ............................................................................................................................................. 26

Typescripts .............................................................................................................................................. 26

Proposals ................................................................................................................................................. 27


Geometry ................................................................................................................................................ 27

Miscellaneous ......................................................................................................................................... 28

Smith & Trigg Numbers ........................................................................................................................... 33

Miscellaneous ......................................................................................................................................... 34

MANUSCRIPTS: NON-FICTION..................................................................................................................... 36

CORRESPONDENCE ..................................................................................................................................... 36


BIOGRAPHICAL INFORMATION C.W. TRIGG ............................................................................................... 37


Primes ..................................................................................................................................................... 37

Bracelets.................................................................................................................................................. 40

Squares .................................................................................................................................................... 43

Sums of Squares of Differences .............................................................................................................. 44

Miscellaenous ......................................................................................................................................... 44

Crux Mathematicorum Problems ........................................................................................................... 46

Mathematics Magazine Problems .......................................................................................................... 46

School Science and Mathematics Problems ........................................................................................... 47

Pi Mu Epsilon Journal Problems .............................................................................................................. 49

A.M.M. .................................................................................................................................................... 49

JRM .......................................................................................................................................................... 49

CORRESPONDENCE ..................................................................................................................................... 49


Miscellaneous ......................................................................................................................................... 49


Kaprekar .................................................................................................................................................. 50

CORRESPONDENCE ..................................................................................................................................... 50


Miscellaneous ......................................................................................................................................... 51

Shapes ..................................................................................................................................................... 53

Numbers .................................................................................................................................................. 55

Polyhedra ................................................................................................................................................ 57

CORRESPONDENCE AND ARTICLES ............................................................................................................. 58


Miscenaneous ......................................................................................................................................... 59

In-Service................................................................................................................................................. 60

Census ..................................................................................................................................................... 61

Miscellaneous ......................................................................................................................................... 62

CORRESPONDENCE ..................................................................................................................................... 63


Cryptarithma ........................................................................................................................................... 63

Cryptograms ............................................................................................................................................ 64

Geometry ................................................................................................................................................ 65

Magic and Antimagic............................................................................................................................... 66

Numbers .................................................................................................................................................. 66

SOLUTIONS TO VARIOUS PROBLEMS .......................................................................................................... 68

COMPUTER PRINTOUTS .............................................................................................................................. 68

AUTHOR/SUBJECT CARDS ........................................................................................................................... 68


FILE TITLE DATE BOX/FILE

MATHEMATICAL PROBLEMS

Yin-Yang 1.1

Geometric trademarks and logos (the triangle in trademarks and logos)

1.2

Recursive operations 1.3

Anagrams - permutacrostics 1.4

Rebuses 2.1

Pascal triangle; Paper folding - mimeographs

2.2

Palindromes, base 10 - 5-99799 2.3

Palindromes, base 10 - Palindr= 0 and c’3, 6 scale

3.1

Palindromes, base 10, 5 digit numbers, 3.2



decimal scale

The significance of 37 3.3

Palindromes in progress, base 10, also pal-free = 1,2,4, etc.

4.1

Hoggatt, Verner E., jr. - ms 4.2

Pacific Jour. Math.; Recreational Math. Mag.; RKD Bulletin; School Sci Math; Scripta Mathematica; Praxis der Mathematic; Crux

4.3

Problems - Eucliphiliacs #1, #2 5.1

Problems - Dial, Graham 5.2

Probability 5.3

Problems - Children’s encyclopedia 5.4



Problems - General 5.5

Topology 6.1

Puzzles - general 6.2

PUBLICATIONS

Publications - L.A. Math Newsletter 6.3

Publications - The Mathematical Log 6.4

Publications - Math. Student 6.5

Publications - Angles on Math 6.6

Publications - Delta Epsilon 6.7

Publications - The Exponent 6.8

Problems - Litton Industries 6.9



Problems - Neare, N.G. 6.10

Publications - Math Student Journal 6.11

Publications - Missouri Gamma News 6.12

Publications - O.U. Mathematics Letter 7.1

Proskauer, Julius J. - Puzzles for everyone 7.2


Problems - Scalacs 7.3

Puzzle craft 7.4

Problems - Special, Monkey of coconuts, 12 coin

7.5

Magic and Antimagic

Magic squares 7.6



Magic nested triangles - fifth order 7.7

Some remarkable families of antimagic arrays 7.8

Magic and antimagic nested triangles 7.9

A remarkable group of antimagic pentagrams 7.10

Second-order diagonal-magic hexagons 7.11

Digits on vertices of octagon 7.12

Magic rectangles 7.13

A new type of magic pentagram 7.14

Antimagic pentagrams with even line sums 8.1

Fifth order perimeter magic triangles 8.2

Miscellaneous



Triangular arrays 8.3

Special triangular arrangements of digits 8.4

Bracelets - additive - digital root - order 3 - base 2-10

8.5

Merry-go-round 8.6

Hetero-squares and other 3 x 3 arrays 8.7

9-digit determinants 9.1

Distribution of 5-digit sets on the dodecahedron

9.2

Bracelets - additive - digital root - order 4, base 10

9.3

Magic and Antimagic

Antimagic cuboctahedron 9.4



Four digit sets on the cuboctahedron 9.5

Magic truncated cubes 9.6

Perimeter antimagic icosahedron 9.7

Magic nested squares 9.8

Net-works in the eliptic space (Trigg, 1937) – ms

9.9

Magic squares 10.1

Magic squares - vol. II 10.2

Magic squares - vol. III 10.3

Miksa, Francis L

Miksa, Francis L. - The 7th order, basic magic squares and lattices, arranged in five classes - ms.

10.4



Miksa, Francis L. - Auxiliary tables for the 7th order magic squares - ms.

10.5

Miksa, Francis L. The 3456 pandiagonal symmetric magic squares, arranged in ascending order - ms.

10.6

Miscellaneous

Reprints: Thebault (and others) 11.1-.2

Scales of notation - 5 11.3

Geometry - curves 11.4

Nonangonl number in base 9 11.5

The powers of five 11.6

Proofed copies of C.W. Trigg articles 11.7

Numerology profile: C.W. Trigg 11.8



A new routine, a new constant 2538, bases 2-19

11.9

Squares



Additive dyad bracelets, second order, base 7 13.7

Cyclic dyad g.p.’s base 10 13.8

Bracelets

Bracelets - additive dyads, bases 3,4,6 14.1

2nd order dyad additive bracelets, base 10 14.2

3rd order additive digital bracelets, bases 2-12 14.3

Trisection of angles 14.4

Integers closed under reversal - substraction 14.5

Digit product additive sequences N1+=N2 14.6

Units’ digits of Fibonacci-type series, bases 2-12

14.7

Bracelets - second order, pair generators, reduced (moduls 100), two-digit elements

14.8



2nd order digital additive bracelets, bases 2-11

14.9

Bracelets - 3rd order (3 digit generators) 14.10

Miscellaneous

Miscellaneous tessellations and dissections 14.11

Power (5n) 14.12

Pandigital multiples of 0123456789 14.13

JRM - others 14.14

Powers of 2 15.1

New alphametics 15.2

Figurate numbers 15.3



Magic tetrahedrons 15.4

Base 4 16.1

Miscellaneous path problems 16.2

4-color squares 16.3

Travel on a third order grid 16.4

Octahedral models 16.5

Structures imbedded in octahedron edges 16.6

12-edge closed paths on the regular (?) octahedron

16.7

Computer recreations 16.8

Collatz 16.9



MATHEMATIC MAGAZINES

Arithmetic teacher; American mathematical monthly; Boletin matematico

17.1

Mathematics student (India); Mathematics teacher 1970; Mathematical gazette

17.2

Mathematics magazine (Jan 1962-Jan 1971) 17.3

Mathematics magazine (1972-78) 18.1


Miscellaneous

Spiraled integers 18.2

Factorials 18.3

Q503 - boy, girl, dog 18.4

Repunits - repdigits 18.5



Distribution of first 3n integers into triads so

a + b = C

18.6

Repetitive patterns, sequences, in triangular arrays (JRM)

18.7

approximations 18.8

b - 1 digits in addition 18.9

Cyclically permutin subtrends 18.10

Determinants 18.11

M + N = P each contain the 9 digits; additions of permutation of 9 digits

18.12

The digits of 18.13

Strobogrammatic powers & rotatable powers 18.14



Cancellation 18.15

X (X + 1) with distinct digits 18.16

Second order additive digital bracelets, various bases

18.17

Terminal digits of powers 18.18

Units digits of powers, bases 3-10 18.19

Krimmel; Collatz 18.20

Coloring the Platonic solids 18.21

The diagonals of the regular dodecahedron 18.22

Scales of Notation






Base 6

Base six - hexagonal - nonagonal numbers 19.4

Base six - triangular to pentagonal numbers 19.5

Base 7

Base seven - triangular and square numbers 19.6

Base seven - pentagonal to heptagonal numbers

19.7

Base seven - octagonal to nonagonal numbers 19.8

Base 8

Base eight 20.1

Base eight - triangular numbers 20.2

Base eight - square numbers 20.3



Base eight - pentagonal to nonagonal numbers 20.4

Decimal system - x4, x5, ...x12 21.1

Base 9

Base nine - square thru nonagonal numbers 21.2

Base nine - triangular numbers 21.3

Base 10

Base ten - pentagonal numbers 21.4

Base ten - triangular numbers 21.5

Miscellaneous

F (x) = x(x + 1) - base 10 22.1

Miscellaneous polyhedra 23.1

Reentrant unicursal paths on the cuboctahedron

23.2

Covering and coloring the dodecahedron 23.3



The cuboctahedron 23.4

Figurate nos. a la Pascal 23.5

Short cut in squaring one type of integer 23.6

A summation procedure 23.7

Sums of powers of integers 23.8

The Faro shuffle 23.9

The 28 possible cubical dice 23.10

Bisected arithmetic progressions 23.11

Durable square, triangular nos., etc. 23.12

SOMA cubes 23.13



Rolling a cube on the plane 23.14

Collapsible models of cubes 23.15

Models of cubes 23.16

Skelton of cube 23.17

Unique 20th century years 23.18

Collapsible polyhedral models 23.19

Tetrahedral packing 23.20

The regular tetrahedron, the truncated tetrahedron and their concentric spheres

24.1

Two-way nets of octahedrons 24.2

Seven hexadrons plus 24.3



Rolling the regular octahedron 24.4

Area of regular octagon, etc. 24.5

The 66 octaimonds and the octahedron & hexahedron

24.6

The convex deltahedrons 24.7

Truncating the tetrahedron 24.8

Framework of octahedron 24.9

Polyhedral models from envelopes 24.10

Fourth order spiral deltahedra 24.11

Volume of tetrahedron 24.12

Composite deltahedrons 24.13



Nested hexahedrons, etc. 24.14

Vertex and edge magic cube and octahedron 24.15

Base 10

Base 10 - hexagonal numbers 25.1

Base 10 - heptagonal numbers 25.2

Base 10 - octagonal and nonagonal numbers (file found empty)

25.3

Miscellaneous

Nine digits miscellaneous 25.4

Folding the hexagon 26.1

Prime numbers 26.2

Arithmetic 26.3



Diophantine equations 27.1

Geometry, analytic trigometry 27.2

Heterosquares 27.3

Cryptarithms 27.4

Geometry, solid 27.5

Numbers 27.6

Dissections and folding 27.7

Non-mathematical miscellany 27.8

Miscellaneous material 27.9-28.1

Base 8 versums 28.2



Grade-o-matic 28.3

Polyaboloes 28.4

Miscellaneous - iamonds 28.5

20o Isosceles triangle 28.6

Flexilinear curves 28.7

Conditions for concurrency 28.8

Pythagorean triangles - general 28.9

Determinants of Pascal’s triangle 28.10

Compact determinants 28.11

MANUSCRIPTS

Typescripts



Beard, Robert S. - Patterns in space (typescript)

28.12

Dodge, Clayton R. - Mathematics: something to think about (typescript)

29.1

Proposals

Proposals - plane geometry 29.2

Proposals - miscellaneous 29.3

Proposals - physics 29.4

Proposals - numbers 29.5

Proposals - solid geometry 30.1


Geometry

Geometry - trademarks 30.2

Geometry - analytic, conics 30.3



Geometry - dissections 30.4

Geometry - general 30.5

Geometry - Heronian triangles 30.6

Geometry - Lehmus’ theorem 30.7

Geometry - Mascheroni 30.8

Geometry - Redians 30.9

Geometry - trisection, angle 30.10

Miscellaneous

Calendars 30.11

Chain letters 31.1

Competitions - mathematical 31.2



Crystals 31.3

Determinants 31.4

Diophantine equations 31.5

Flexagons 31.6

Correspondence 32.1

Duodecimal Bulletin articles published 32.2

Miscellaneous number studies 2 32.3

Constant area circle dusters 32.4

Bracelets - additive digital root - order 2, bases 2-10

32.5

Bracelets - multiplicative digital root - order 32.6



2, bases 2-10

Bracelets - multiplicative digital root - 2nd order

32.7

Multiplicative bracelets 32.8

Miscellaneous number studies 1 32.9

Differences 32.10

Repdyads 32.11

Fourth order digital bracelets 32.12

Reiterative operations 33.1

Bracelets from iterated squares 33.2

Miscellaneous articles and correspondence 33.3



Computer recreations 33.4

Prime sums of cubes of digits of primes 33.5

Digits-cubed-sum - additive prime couples 33.6

Avetta/CWT 33.7

Dr. Krypton 34.1

L.J. Upton 34.2

Square 34.3

MACE 34.4

Physics I 34.5

The ten digits in solid geometry 34.6



The 3:4:5 triangle - a reprise 34.7

Prime table - 1061 - four digit primes 34.8

Third order magic squares with same constant 34.9

1988 dn + 4 = d (n + 3 + n) 34.10

aaaa dn + 4 = d (n + 3 + n) 34.11

Numbered faces of regular dodecahedron 34.12

Triangular numbers - permutations of consecutive digits

34.13

Figurative numbers 34.14

Psuedo twin primes, sibling primes 34.15

Remarkable third order triangle-anti-magic squares

34.16



Survey 34.17

Magic squares 34.18

Third order unmagic square (Dewey Duncan) 34.19

Articles - delayed submission 34.20

Unanswered personal 34.21

Antipalindromes 34.22

Groups based on p-Agonal numbers 34.23

Smith & Trigg Numbers

Smith & Trigg numbers - Base 7 34.24

Smith numbers - base 10 34.25

Trigg numbers - base 10 34.26



Smith/Trigg numbers, base 3 34.27






Miscellaneous

A Collatz algorithm tree 35.4

Dyads in 35.5

Factorials in other bases 35.6

4th order twisted determinants 35.7



Numerals with distinct digits in base 5 35.8

Multiplicative bracelets - base 5 35.9

Cyclic geometric progressions - base 5 35.10

Triangles and factorials 35.11

Persistance of numbers 35.12

Curious cubes 35.13

Decade years imbedded in cubes



Polygamorphs/Perrissomorphs 35.18

Strip deltahedra 35.19

Bracelets - miscellaneous 35.20

MANUSCRIPTS: NON-FICTION

Holograph articles from various journals 35.21

Article ideas 35.22

Holograph notes 35.23

CORRESPONDENCE

Correspondence 35.24


Special multiples of sums of power series 35.25

Exams 35.26



The power of 37 36.1-.2

Math names and math whimsey 36.3

BIOGRAPHICAL INFORMATION C.W. TRIGG

Trigg, C.W. - bibliographical information 37.1


Icosahedron - blank forms 37.2

Primes

Prime concatenations of two two-digit primes 37.3

Primes 37.4

Primes - references to JRM 37.5

Primes with digit in A.P. 37.6

Cyclic permutation/Reflectable prime pairs 37.7



Prime with two distinct digits 37.8

Prime digit-product concatenated primer 37.9

Concatenated primes 37.10

Prime concatenations of three two-digit primes

37.11

Prime with distinct digits 37.12

Sums of consecutive primes 37.13

Prime digit-sum concatenated primer 37.14

Prime digit-additive sequences 37.15

Prime + its mark = square

= cube

37.16



Nearly-tripled primes 37.17

Almost iterated primes 37.18

Prime sequences 37.19

Primes with centrally imbedded powers 37.20

Prime curiosa 37.21

Digit-product additive prime couples 37.22

Primes with prime digit sums 37.23

Prime couples 37.24

Quadpair primes 37.25

Primes and six 37.26



Terminal dyads of primes 37.27

Octagonal numbers - base 10 37.28

Magic truncated tetrahedron 38.1

Antimagic square pyramids 38.2

Colored quadrisection of cubical faces 38.3

Octagonal numbers - base 10 n(3n - 2) 38.4

Bracelets

Bracelets - one digit generators 38.5

Bracelets, scale of 2 38.6





Additive digital bracelets in Base 5 38.9







2nd order digital root decimal bracelets - base 10

39.2

2nd order digital root decimal bracelets - base 11

39.3

2nd order digital root decimal bracelets - 39.4



additive, base 9

2nd order digital root decimal bracelets - additive, base 10

39.5

3rd order digital root tubular bracelets 39.6

3rd order digital root decimal bracelets 39.7

4th order additive digital root bracelet (no text)

39.8

2nd order additive digital sequences 39.9

2nd order dyad additive bracelets, decimal system; Lucas bracelets

39.10

2nd order dyad additive bracelets, decimal system; Fibonacci

39.11

Even and odd-even dyad multiplicative bracelets

39.12



Odd dyad multiplicative bracelets 39.13

Squares

Squares that are concatenated dyad repdigits (c.d.r.)

39.14

Squares in base four 39.15

Infinite series - palindromic squares 39.16

Squares in base 5 39.17







Square concatenations of squares 39.22

Concatenated squares 39.23

Sums of digits of squares 39.24

Squares and cubes with square (cube) digit sums

39.25

Sums of Squares of Differences

Sums of squares of differences in square array (9-digit)

39.26

Sums of squares of differences in triangular array (6-digit)

39.27

Miscellaenous

Squares of squares 39.28

5th order square squares 39.29

Square repdigits 39.30



Smoothly undulating squares 39.31

Squares and 37 39.32

JRM - correspondence 40.1

JRM - 1968-70 - Trigg articles 40.2-.4

Pi Mu Epsilon Journal 41.1

Fibonacci quarterly 41.2

MATYC 41.3

Ontario S.S. Mathematics Bulletin 41.4

Pentagon 41.5

Two Year College Mathematics Journal 41.6



AMM 41.7

Mathematical miscellany 41.8-41.9

Eureka 111-299 42.1

Crux Mathematicorum Problems

Crux mathematicorum 42.2

Crux mathematicorum 301-737 42.3

Mathematics Magazine Problems

Mathematics magazine, 1953-Dec. 1961 42.4

Mathematics magazine, 1-699 42.5

Mathematics magazine, 700-950 43.1

Mathematics magazine, problems, 1948-1949 43.2

Mathematics student journal, volumes 4-11 43.3



Mathematics student journal, volumes 12-20 43.4

School Science and Mathematics Problems

School science and mathematics 43.5

School science and mathematics problems, 1235-1496

43.6


44.1


44.2


44.3


44.4


44.5




44.6


45.1


45.2


45.3


45.4


45.5


46.1


46.2



Pi Mu Epsilon Journal Problems

Pi Mu Epsilon journal - problems 1-199 46.3

Pi Mu Epsilon journal - problems 200-499 46.4

A.M.M.

A.M.M. - problems E42-E452 46.5

A.M.M. - problems E453-E999 47.1

JRM

JRM 47.2-47.3

JRM - 1-799 47.4

CORRESPONDENCE

Correspondence, etc. 47.5


Miscellaneous

Mathematics and mystery 47.6

Square numbers 47.7



Hetero-squares (1) 48.1

Humor, mathematical 48.2-50.1

Match play 50.2

Palindromes by addition, base 7 50.3

Palindromes by addition, bases 6 & 9 51.1

Kaprekar

Kaprekar, D.R. 51.2

Kaprekar’s and related routines 51.3

Kaprekar, etc. 51.4

CORRESPONDENCE

Correspondence re: Kaprekar’s routine 52.1




Miscellaneous

Magic hexagon 52.2

Pascal’s triangle 52.3

37 52.4

Guillen, Michael 52.5

Versum sequences - base 2 53.1

Number sense test 53.2

A.M.M. E42-E850; Mathematical monthly 3662-

53.3

Base 5 palindromes by additions 54.1

Coincidence indices base 3 + plots 54.2



A.M.M. 54.3

Math quickies 55.1

More mathematical quickies 55.2

Numbering faces of octahedron 55.3

8 digits on cube’s vertices 55.4

1989 omnibus 55.5

Fibonacci series 55.6

3rd order perimeter antimagic n-gons 55.7

9-digit-triangle-magic square 55.8

A source book for advanced teachers of advanced mathematics 7

55.9



Nine digit determinants 56.1

Untitled binder 56.2-56.3

Shapes

Triangles 57.1

Squares 57.2

Quadrilaterals, (rhombuses & rectangles), trapezoids

57.3

Pentagons 57.4

Hexagons 57.5

Heptagons 57.6

Octagons 57.7

Polygons (mixed) 57.8



Stars 57.9

Untitled items 57.10

Rectangles & Mondrian 57.11

Polyhedra 57.12

Circles 58.1

Spheres 58.2

Conics 58.3

Domes (?) 58.4

Webs & lattices 58.5

Numbers 58.6



Stella 58.7

Unclassified 58.8

Unidentified (Escher, etc.) 58.9

Mathematics, general 58.10

Magic squares 58.11

Mathematicians, noted 59.1

Models, straw 59.2

Moebius strips 59.3

Numbers

Numbers - distinct digits 59.4

Numbers - factors 59.5



Numbers - polygonal 59.6

Knots 59.7

Numbers - preferences 59.8

Numbers - prejudices 59.9

Numbers - Pythagorean 60.1

Numbers - square root 60.2

Numbers - tables, miscellane 60.3

Numbers - general properties 60.4

Numerology 60.5

Optical illusions 60.6



Pi 60.7

Polyhedra

Polyhedra - cubes 61.1

Polyhedra - dodecahedra 61.2

Polyhedra - general 61.3

Polyhedra - hexahedra, non-regular 61.4

Polyhedra - icosahedra 61.5

Polyhedra - octahedra 61.6

Polyhedra - rotating polyhedra 61.7

Polyhedra - tetrahedra, general 62.1

Polyhedra - tetrahedra, regular 62.2



Tetrahedral models 62.3

Meet the regular tetrahedron 62.4

Polyhedrons - deltahedrons 62.5

Platonic polyhedra 62.6

Paper folding 62.7

Poems 62.8

Oppenheimer 63.1

CORRESPONDENCE AND ARTICLES

Proposed articles and lectures 63.2

Copies and correspondence 63.3



M.M. 63.4

Correspondence 63.5


Miscenaneous

Le nouvel Archimede 63.6

Civil engineering 63.7

Prime loops 63.8

Cusumano, Andrew 64.1

Unsolved M.M. problems 64.2

Bibliography 64.3

Powers of 2 64.4



Surprise 64.5

Copeland, Robert 64.6

Series 64.7

Algebra 64.8

Geometry, plane 64.9

Miscellaneous (math quickies) 65.1

Untitled (parabolas?) 65.2

In-Service

In-service, Math, Spring 1949 65.3









Untitled (origins of the binary code, etc.) 65.10

Census

Census - dis. digits divided by 13n 65.11



Numbers, miscellaneous 65.14

Distinct digits (?) 65.15



Census - distinct digits divided by pn 66.1

Census - distinct digits divided by 3n 66.2

Census - distinct digits divided by 7n 66.3

Miscellaneous

Distinct digits 66.4

Unidentified 66.5

Geometry teaching, history, etc. 66.6

Quadrilaterals 66.7

Squares in triangle 66.8

Triangles - relations of lines and distances 66.9

Ptolemy’s theorem 66.10



Relation of hyperbolic functions to equilateral hyperbola

66.11

Number (?) oddities 66.12

Compact method

- Newton difference

- General term series

66.13

Series 66.14

CORRESPONDENCE

Correspondence re: problems in Mathematics magazine, etc.

66.15

Articles (proofed copies) 66.16


Cryptarithma

Cryptarithms 67.1

X doubling as multiplication 67.2



Cryparithms - originals 67.3

Cryparithms 67.4

Sphinx 67.5-67.6

Miscellany 67.7

Numbergram - Sparhawk 67.8

Cryptograms

Cryptic division - DFW 67.9

The Cryptogram (periodical); The Enigma (periodical)

67.10

Correspondence (The Cryptogram) 67.11

Cryptography 67.12



Magic and antimagic squares - third order 68.1

Cryptarithms 68.2

Numbers - unclassified 68.3

Determinants 68.4

Geometry

Geometry - paper folding 68.5

Geometry - plane 68.6

Geometry - solid, general 68.7

Geometry - solid, octahedrons 68.8

Geometry - solid, models, collapsible, tetrahedrons

68.9

Geometry - solid, models, collapsible, octahedrons

68.10



Geometry - solid, tetrahedrons 68.11

Humor - anagrams, word equations, rebuses, etc.

68.12

Junior college journal 68.13

Magic and Antimagic

Magic and antimagic cubes 68.14

Magic and antimagic cubes - order >3 68.15

Magic and antimagic hexagons 68.16

Magic and antimagic tetrahedrons 68.17

Magic and antimagic triangles 68.18

Monthly problem departments, 1894-1954 68.19

Numbers



Numbers - bases, other 68.20

Numbers - figurate 68.21

Numbers - palindromes - versum sequences 68.22

Numbers - palindromes - other than versum 68.23

Numbers - primes 68.24

Numbers - sequences - bracelets, digital 68.25

Numbers - sequences - Kaprekar’s routine 68.26

Numbers - triangles - Pythagorean 68.27

Numbers - triangles 68.28

Numbers - triangles - Heronian 68.29



Physics - electricity 68.30

Trigonometry 68.31

SOLUTIONS TO VARIOUS PROBLEMS

Solutions to various problems (offprints, photocopies, originals)

69.1-69.6

COMPUTER PRINTOUTS

Computer printouts (problem solving, number patterns, etc.)

70-74 (boxes)

AUTHOR/SUBJECT CARDS

Author/subject cards from C.W. Trigg collection

75-79 (boxes)

Accession No. 4391 (Strens)

charles w. trigg fonds. acu spc f0157...the faro shuffle 23.9 the 28 possible cubical dice 23.10...

Documents