Today's verse

Put not your trust in princes, nor in the son of man, in whom there is no help.

Psalm 146:3 (KJV)

Today's verse

For when for the time ye ought to be teachers, ye have need that one teach you again which be the first principles of the oracles of God; and are become such as have need of milk, and not of strong meat. For every one that useth milk is unskilful in the word of righteousness: for he is a babe. But strong meat belongeth to them that are of full age, even those who by reason of use have their senses exercised to discern both good and evil.

Hebrews 5:12-14 (KJV)

Today's verse

Verily, verily, I say unto you, He that entereth not by the door into the sheepfold, but climbeth up some other way, the same is a thief and a robber. But he that entereth in by the door is the shepherd of the sheep. To him the porter openeth; and the sheep hear his voice: and he calleth his own sheep by name, and leadeth them out. And when he putteth forth his own sheep, he goeth before them, and the sheep follow him: for they know his voice. And a stranger will they not follow, but will flee from him: for they know not the voice of strangers.

John 10:1-5 (KJV)

Today's verse

If we say that we have no sin, we deceive ourselves, and the truth is not in us. If we confess our sins, he is faithful and just to forgive us our sins, and to cleanse us from all unrighteousness.

1 John 1:8-9 (KJV)

Reading list

Helliconia Spring, by Brian W. Aldiss.

Today's verse

The words of the Lord are pure words: as silver tried in a furnace of earth, purified seven times.

Psalm 12:6 (KJV)

Reading list

A Fist of Permutations in Lightning and Wildflowers, by Alyssa Wong.

Today's verse

O give thanks unto the Lord; for he is good; for his mercy endureth for ever.

1 Chronicles 16:34 (KJV)

Reading list

The Cosmic Computer, by H. Beam Piper

Today's verse

I am crucified with Christ: nevertheless I live; yet not I, but Christ liveth in me: and the life which I now live in the flesh I live by the faith of the Son of God, who loved me, and gave himself for me.

Galatians 2:20 (KJV)

Today's verse

In God we boast all the day long, and praise thy name for ever.

Psalm 44:8 (KJV)

Today's verse

He that rejecteth me, and receiveth not my words, hath one that judgeth him: the word that I have spoken, the same shall judge him in the last day.

John 12:48 (KJV)

Today's verse

But be not thou far from me, O Lord: O my strength, haste thee to help me.

Psalm 22:19 (KJV)

Today's verse

Plead my cause, O Lord, with them that strive with me: fight against them that fight against me.

Psalm 35:1 (KJV)

Today's verse

If ye then be risen with Christ, seek those things which are above, where Christ sitteth on the right hand of God.

Colossians 3:1 (KJV)

Today's verse

The thing that hath been, it is that which shall be; and that which is done is that which shall be done: and there is no new thing under the sun. Is there any thing whereof it may be said, See, this is new? it hath been already of old time, which was before us.

Ecclesiastes 1:9-10(KJV)

Today's verse

The grass withereth, the flower fadeth: but the word of our God shall stand for ever.

Isaiah 40:8 (KJV)

Today's verse

Come unto me, all ye that labour and are heavy laden, and I will give you rest.

Matthew 11:28 (KJV)

Reading list

Foundation and Earth, by Isaac Asimov.

Today's verse

Now when Jesus was risen early the first day of the week, he appeared first to Mary Magdalene, out of whom he had cast seven devils. And she went and told them that had been with him, as they mourned and wept. And they, when they had heard that he was alive, and had been seen of her, believed not. After that he appeared in another form unto two of them, as they walked, and went into the country. And they went and told it unto the residue: neither believed they them. Afterward he appeared unto the eleven as they sat at meat, and upbraided them with their unbelief and hardness of heart, because they believed not them which had seen him after he was risen.

Mark 16:9-14 (KJV)

The promise fulfilled

The first day of the week cometh Mary Magdalene early, when it was yet dark, unto the sepulchre, and seeth the stone taken away from the sepulchre. Then she runneth, and cometh to Simon Peter, and to the other disciple, whom Jesus loved, and saith unto them, They have taken away the Lord out of the sepulchre, and we know not where they have laid him. Peter therefore went forth, and that other disciple, and came to the sepulchre. So they ran both together: and the other disciple did outrun Peter, and came first to the sepulchre. And he stooping down, and looking in, saw the linen clothes lying; yet went he not in. Then cometh Simon Peter following him, and went into the sepulchre, and seeth the linen clothes lie, and the napkin, that was about his head, not lying with the linen clothes, but wrapped together in a place by itself. Then went in also that other disciple, which came first to the sepulchre, and he saw, and believed. For as yet they knew not the scripture, that he must rise again from the dead. Then the disciples went away again unto their own home. But Mary stood without at the sepulchre weeping: and as she wept, she stooped down, and looked into the sepulchre, and seeth two angels in white sitting, the one at the head, and the other at the feet, where the body of Jesus had lain. And they say unto her, Woman, why weepest thou? She saith unto them, Because they have taken away my Lord, and I know not where they have laid him. And when she had thus said, she turned herself back, and saw Jesus standing, and knew not that it was Jesus. Jesus saith unto her, Woman, why weepest thou? whom seekest thou? She, supposing him to be the gardener, saith unto him, Sir, if thou have borne him hence, tell me where thou hast laid him, and I will take him away. Jesus saith unto her, Mary. She turned herself, and saith unto him, Rabboni; which is to say, Master. Jesus saith unto her, Touch me not; for I am not yet ascended to my Father: but go to my brethren, and say unto them, I ascend unto my Father, and your Father; and to my God, and your God.

John 20:1-17 (KJV)

Reading list

Jimmy Stewart: Bomber Pilot, by Starr Smith.

Waiting...

And, behold, there was a man named Joseph, a counsellor; and he was a good man, and a just: (The same had not consented to the counsel and deed of them;) he was of Arimathaea, a city of the Jews: who also himself waited for the kingdom of God. This man went unto Pilate, and begged the body of Jesus. And he took it down, and wrapped it in linen, and laid it in a sepulchre that was hewn in stone, wherein never man before was laid.

Luke 23:50-53 (KJV)

The debt is paid

And so Pilate, willing to content the people, released Barabbas unto them, and delivered Jesus, when he had scourged him, to be crucified. And the soldiers led him away into the hall, called Praetorium; and they call together the whole band. And they clothed him with purple, and platted a crown of thorns, and put it about his head, and began to salute him, Hail, King of the Jews! And they smote him on the head with a reed, and did spit upon him, and bowing their knees worshipped him. And when they had mocked him, they took off the purple from him, and put his own clothes on him, and led him out to crucify him. And they compel one Simon a Cyrenian, who passed by, coming out of the country, the father of Alexander and Rufus, to bear his cross. And they bring him unto the place Golgotha, which is, being interpreted, The place of a skull. And they gave him to drink wine mingled with myrrh: but he received it not. And when they had crucified him, they parted his garments, casting lots upon them, what every man should take. And it was the third hour, and they crucified him. And the superscription of his accusation was written over, The King Of The Jews. And with him they crucify two thieves; the one on his right hand, and the other on his left. And the scripture was fulfilled, which saith, And he was numbered with the transgressors. And they that passed by railed on him, wagging their heads, and saying, Ah, thou that destroyest the temple, and buildest it in three days, save thyself, and come down from the cross. Likewise also the chief priests mocking said among themselves with the scribes, He saved others; himself he cannot save. Let Christ the King of Israel descend now from the cross, that we may see and believe. And they that were crucified with him reviled him. And when the sixth hour was come, there was darkness over the whole land until the ninth hour. And at the ninth hour Jesus cried with a loud voice, saying, Eloi, Eloi, lama sabachthani? which is, being interpreted, My God, my God, why hast thou forsaken me? And some of them that stood by, when they heard it, said, Behold, he calleth Elias. And one ran and filled a spunge full of vinegar, and put it on a reed, and gave him to drink, saying, Let alone; let us see whether Elias will come to take him down. And Jesus cried with a loud voice, and gave up the ghost. And the veil of the temple was rent in twain from the top to the bottom. And when the centurion, which stood over against him, saw that he so cried out, and gave up the ghost, he said, Truly this man was the Son of God.

Mark 15:15-39 (KJV)

The interrogation and the rejection

Then led they Jesus from Caiaphas unto the hall of judgment: and it was early; and they themselves went not into the judgment hall, lest they should be defiled; but that they might eat the passover. Pilate then went out unto them, and said, What accusation bring ye against this man? They answered and said unto him, If he were not a malefactor, we would not have delivered him up unto thee. Then said Pilate unto them, Take ye him, and judge him according to your law. The Jews therefore said unto him, It is not lawful for us to put any man to death: That the saying of Jesus might be fulfilled, which he spake, signifying what death he should die. Then Pilate entered into the judgment hall again, and called Jesus, and said unto him, Art thou the King of the Jews? Jesus answered him, Sayest thou this thing of thyself, or did others tell it thee of me? Pilate answered, Am I a Jew? Thine own nation and the chief priests have delivered thee unto me: what hast thou done? Jesus answered, My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence. Pilate therefore said unto him, Art thou a king then? Jesus answered, Thou sayest that I am a king. To this end was I born, and for this cause came I into the world, that I should bear witness unto the truth. Every one that is of the truth heareth my voice. Pilate saith unto him, What is truth? And when he had said this, he went out again unto the Jews, and saith unto them, I find in him no fault at all. But ye have a custom, that I should release unto you one at the passover: will ye therefore that I release unto you the King of the Jews? Then cried they all again, saying, Not this man, but Barabbas. Now Barabbas was a robber.

John 18:28-40 (KJV)

The denial

Then took they him, and led him, and brought him into the high priest's house. And Peter followed afar off. And when they had kindled a fire in the midst of the hall, and were set down together, Peter sat down among them. But a certain maid beheld him as he sat by the fire, and earnestly looked upon him, and said, This man was also with him. And he denied him, saying, Woman, I know him not. And after a little while another saw him, and said, Thou art also of them. And Peter said, Man, I am not. And about the space of one hour after another confidently affirmed, saying, Of a truth this fellow also was with him: for he is a Galilaean. And Peter said, Man, I know not what thou sayest. And immediately, while he yet spake, the cock crew. And the Lord turned, and looked upon Peter. And Peter remembered the word of the Lord, how he had said unto him, Before the cock crow, thou shalt deny me thrice. And Peter went out, and wept bitterly.

Luke 22:54-62 (KJV)

The betrayal

And while he yet spake, lo, Judas, one of the twelve, came, and with him a great multitude with swords and staves, from the chief priests and elders of the people. Now he that betrayed him gave them a sign, saying, Whomsoever I shall kiss, that same is he: hold him fast. And forthwith he came to Jesus, and said, Hail, master; and kissed him. And Jesus said unto him, Friend, wherefore art thou come? Then came they, and laid hands on Jesus and took him. And, behold, one of them which were with Jesus stretched out his hand, and drew his sword, and struck a servant of the high priest's, and smote off his ear. Then said Jesus unto him, Put up again thy sword into his place: for all they that take the sword shall perish with the sword. Thinkest thou that I cannot now pray to my Father, and he shall presently give me more than twelve legions of angels? But how then shall the scriptures be fulfilled, that thus it must be? In that same hour said Jesus to the multitudes, Are ye come out as against a thief with swords and staves for to take me? I sat daily with you teaching in the temple, and ye laid no hold on me. But all this was done, that the scriptures of the prophets might be fulfilled. Then all the disciples forsook him, and fled.

Matthew 26:47-56 (KJV)

Reading list

Hell On Earth: Brutality And Violence Under The Stalinist Regime, by Ludwik Kowalski.

The prayer

And [Jesus] came out, and went, as he was wont, to the mount of Olives; and his disciples also followed him. And when he was at the place, he said unto them, Pray that ye enter not into temptation. And he was withdrawn from them about a stone's cast, and kneeled down, and prayed, saying, Father, if thou be willing, remove this cup from me: nevertheless not my will, but thine, be done. And there appeared an angel unto him from heaven, strengthening him. And being in an agony he prayed more earnestly: and his sweat was as it were great drops of blood falling down to the ground. And when he rose up from prayer, and was come to his disciples, he found them sleeping for sorrow, and said unto them, Why sleep ye? rise and pray, lest ye enter into temptation.

Luke 22:39-46 (LKV)

Reading list

A Pair of Schoolgirls: A Story of School Days, by Angela Brazil.

Today's verse

Jesus took bread, and blessed, and brake it, and gave to them, and said, Take, eat: this is my body. And he took the cup, and when he had given thanks, he gave it to them: and they all drank of it. And he said unto them, This is my blood of the new testament, which is shed for many.

Mark 14:22-24 (KJV)

Today's verse

A new commandment I give unto you, That ye love one another; as I have loved you, that ye also love one another. By this shall all men know that ye are my disciples, if ye have love one to another.

John 13:34-35 (KJV)

Today's verse

He was wounded for our transgressions, he was bruised for our iniquities: the chastisement of our peace was upon him; and with his stripes we are healed.

Isaiah 53:5 (KJV)

Today's verse

Seek ye first the kingdom of God, and his righteousness; and all these things shall be added unto you.

Matthew 6:33 (KJV)

Today's verse

For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life.

John 3:16 (KJV)

Reading list

Dark Space: Origin, by Jasper T. Scott.

Today's verse

For every house is builded by some man; but he that built all things is God.

Hebrews 3:4 (KJV)

Stumbling through mathematics: the Chaos Game revisted

Some time ago I wrote a few Matlab programs to investigate the Chaos Game.

For this set of plots I used Scilab, a free math program that immitates Matlab. Below is a plot of the Sierpiński Sieve with verices (0,0), (1,0), and (0.5, sqrt(3)/2), and r = 1/2 (2500 points):

The following is a plot of a square with vertices (1,0), (0,1), (-1,0), and (0,-1), and r = 2/5 (2500 points):

Today's verse

I will lift up mine eyes unto the hills, from whence cometh my help. My help cometh from the Lord, which made heaven and earth.

Psalm 122:1-2 (KJV)

Today's verse

Beware of false prophets, which come to you in sheep's clothing, but inwardly they are ravening wolves.

Matthew 7:15 (KJV)