#8 Two cubes
Set by Katie Steckles
A frame is made from two cubes joined together. All edges on each of the cubes measure 1 unit.
What is the distance between the two points on the frame marked with red dots?
Can you find another pair of points on the frame, one for which the distance apart is the square root of 3?
For how many whole number values of n can you find pairs of points on the frame whose distance is the square root of n?
Solution next week
#7 Home primes
Solution
The home prime of 6 is 23, and that of 10 is 773.
The number less than 20 with home prime 1129 is 15. To get to this, we start with 15 = 3 脳 5, which becomes 35 = 5 脳 7, giving 57 = 3 脳 19, which then becomes 319 = 11 脳 29, finally leading to the prime 1129.
Quick quiz #240
set by Bethan Ackerley
1 What is the visual representation of the number and structure of an organism's chromosomes known as?
2 Name the first fault-tolerant computer.
3 Which of the following brain regions isn't in the brainstem: the pons, the medulla oblongata or the thalamus?
4 What term describes the loss of pigment in an animal that doesn't affect its eyes?
5 In what year was Noether's theorem published?
Quick quiz #240
Answers
1 A karyotype
2 SAPO, built in 1951
3 The thalamus
4 Leucism
5 1918