© Oxford University
Journey with the Mathemagicians as they encounter a number of problems on their travels and use mathematics to find solutions.
The series of short videos is suitable for secondary school teachers, introducing various maths principles to students in an engaging way.
en
Wed, 29 Oct 2014 10:05:17 +0000
http://podcasts.ox.ac.uk
A Mathematician's Holiday
Oxford University
Oxford University
podcasts@it.ox.ac.uk
no
http://mediapub.it.ox.ac.uk/sites/fred/files/images/albumcovers/mathematiciansholiday.jpg
A Mathematician's Holiday
http://podcasts.ox.ac.uk

1
konigsburg
graphs
Euler
graph theory
topology
travelling salesperson
How do you construct a tour travelling between a number of different cities, but never using the same transport method between two cities more than once?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245052:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_1_route.mp4
How do you construct a tour travelling between a number of different cities, but never using the same transport method between two cities more than once?
How do you construct a tour travelling between a number of different cities, but never using the same transport method between two cities more than once?
konigsburg,graphs,Euler,graph theory,topology,travelling salesperson
Thomas Woolley, William Binzi
449
Fri, 24 Oct 2014 16:13:28 +0100

2
graph
algorithm
trilinear coordinates
computer graphics
gouraud shading
How do we measure out 100ml of a liquid using only containers taking quantities of 75ml, 125ml and 200ml?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245051:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_2_water.mp4
How do we measure out 100ml of a liquid using only containers taking quantities of 75ml, 125ml and 200ml?
How do we measure out 100ml of a liquid using only containers taking quantities of 75ml, 125ml and 200ml?
graph,algorithm,trilinear coordinates,computer graphics,gouraud shading
Thomas Woolley, William Binzi
1383
Fri, 24 Oct 2014 16:17:28 +0100

3
abstraction
optimisation
What is the quickest route between two points, if you can only cross the runways at a perpendicular?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245050:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_3_runway.mp4
What is the quickest route between two points, if you can only cross the runways at a perpendicular?
What is the quickest route between two points, if you can only cross the runways at a perpendicular?
abstraction,optimisation
Thomas Woolley, William Binzi
460
Fri, 24 Oct 2014 17:17:04 +0100

4
logic
decision trees
Three bags contain 2 tshirts or 2 hoodies or 1 hoodie and 1 tshirt, and none are labelled correctly. Can you tell which back belongs to whom by only taking one (random) item from one bag?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245049:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_4_baggage.mp4
Three bags contain 2 tshirts or 2 hoodies or 1 hoodie and 1 tshirt, and none are labelled correctly. Can you tell which back belongs to whom by only taking one (random) item from one bag?
Three bags contain 2 tshirts or 2 hoodies or 1 hoodie and 1 tshirt, and none are labelled correctly. Can you tell which back belongs to whom by only taking one (random) item from one bag?
logic,decision trees
Thomas Woolley, William Binzi
467
Fri, 24 Oct 2014 17:20:50 +0100

5
optimisation
What is the quickest route to get from where you are standing, collect some water from a river and get to the hotel?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245048:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_5_hotel.mp4
What is the quickest route to get from where you are standing, collect some water from a river and get to the hotel?
What is the quickest route to get from where you are standing, collect some water from a river and get to the hotel?
optimisation
Thomas Woolley, William Binzi
546
Fri, 24 Oct 2014 17:22:48 +0100

6
graph
fox
chicken
grain
How can you get three people to the upper floor of the hotel if two of them can never be left alone?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245047:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_6_lift.mp4
How can you get three people to the upper floor of the hotel if two of them can never be left alone?
How can you get three people to the upper floor of the hotel if two of them can never be left alone?
graph,fox,chicken,grain
Thomas Woolley, William Binzi
721
Fri, 24 Oct 2014 17:25:47 +0100

7
utilities problem
torus
By drawing on a piece of paper, can you connect three houses to three utilities (gas, electricity, water) without any of the lines crossing?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245046:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_7_utilities.mp4
By drawing on a piece of paper, can you connect three houses to three utilities (gas, electricity, water) without any of the lines crossing?
By drawing on a piece of paper, can you connect three houses to three utilities (gas, electricity, water) without any of the lines crossing?
utilities problem,torus
Thomas Woolley, William Binzi
311
Fri, 24 Oct 2014 17:28:50 +0100

8
efficiency
encoding
binary
In a restaurant where you can order tasting plates of 10 items, what is the smallest number of plates you can order to identify all 10 items on a menu?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245045:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_8_dimsun.mp4
In a restaurant where you can order tasting plates of 10 items, what is the smallest number of plates you can order to identify all 10 items on a menu?
In a restaurant where you can order tasting plates of 10 items, what is the smallest number of plates you can order to identify all 10 items on a menu?
efficiency,encoding,binary
Thomas Woolley, William Binzi
599
Fri, 24 Oct 2014 17:36:45 +0100

9
encoding
binary
Given four bottles with indistinguishable liquid, one of which is a vital medicine, two containers and a test that can be done only once, how can you determine which of the the bottles contain the medicine?
http://rss.oucs.ox.ac.uk/tag:20141201:064248:000:file:245030:video
http://media.podcasts.ox.ac.uk/maths/mathematiciansholiday/mathematicians_holiday_episode_9_medicine_3.mp4
Given four bottles with indistinguishable liquid, one of which is a vital medicine, two containers and a test that can be done only once, how can you determine which of the the bottles contain the medicine?
Given four bottles with indistinguishable liquid, one of which is a vital medicine, two containers and a test that can be done only once, how can you determine which of the the bottles contain the medicine?
encoding,binary
Thomas Woolley, William Binzi
328
Fri, 24 Oct 2014 17:41:15 +0100